Pirminė arterinė hipertenzija diagnozuojama kas trečiam suaugusiam. Liga jaunėja, ypač tarp vyrų, šios tendencijos nepavyksta paaiškinti vien bendraisiais kardiovaskulinės rizikos veiksniais. Mažai kreipiamas dėmesys į galimą hipertenzijos ryšį su gimimo parametrais ir augimo ypatumais. Nebuvo aišku, kurie iš bendrųjų hipertenzijos rizikos veiksnių ir kokie kritinių augimo tarpsnių ypatumai daro didžiausią įtaką mūsų šalies jaunimo kraujospūdžio raidai. Todėl disertacija skirta įvertinti jaunuolystės amžiaus vyrų (18-21 metų) padidėjusio kraujospūdžio ryšį su skirtingų kritinių augimo periodų ypatumais, kardiovaskulinės rizikos veiksniais, paveldimumu ir jaunuolio šeimos socioekonominėmis sąlygomis. Ištirtas 231 asmuo (48 atvejo grupėje, 183 kontrolinėje grupėje). Darbe nustatyta, kad mažesnė galvos ir krūtinės apimtis gimus kartu su jaunuolystės kūno masės indeksu yra reikšmingi padidėjusio kraujospūdžio prognostiniai veiksniai. Greitesnis ūgio augimas per pirmus septynerius gyvenimo metus ir paauglystės tarpsnio kūno masės indekso bei svorio intensyvesnis augimo greitis turi reikšmingų sąsajų su padidėjusiu kraujospūdžiu jaunuolystėje. Nustatyta skirtinga liesos kūno masės ir riebalų masės įtaka kraujospūdžiui. Konstatuota, kad padidėjusį kraujospūdį turintys jaunuoliai yra stambesnio skeleto. Reikšmingą įtaką jo kraujospūdžiui turi rizikingais kiekiais vartojamas alkoholis ir mažesnis fizinis aktyvumas. Įvertinta mamos ankstyvo sergamumo pirmine arterine hipertenzija ir... [toliau žr. visą tekstą] / Primary arterial hypertension is diagnosed in every third adult. The disease tends to appear in younger individuals, especially men. However, general cardiovascular disease risk factors fail to explain this trend. Insufficient attention is given to the possible relation between hypertension and birth parameters as well as growth characteristics. It was not known which of the general hypertension risk factors and which of the critical growth period characteristics have major influence on the development of elevated blood pressure in young men in our country. Therefore, this dissertation aims at evaluating the relation of elevated blood pressure in young men (18-21 years old) to the characteristics of different critical growth periods, cardiovascular risk factors, heredity and the socio-economic conditions of the young man‘s family. The research showed the following results: smaller head and chest circumferences at birth along with the body mass index at young adult age are significant prognostic factors for elevated blood pressure; higher velocity of height growth within the first seven years of life and more intensive growth of the body mass index and weight in adolescence have significant relation to elevated blood pressure at young adult age; lean body mass and fat body mass have different influence on blood pressure; young men with elevated blood pressure have bigger skeletons; risky amounts of alcohol consumed and lower physical activity have significant influence on... [to full text]

Primary arterial hypertension is diagnosed in every third adult. The disease tends to appear in younger individuals, especially men. However, general cardiovascular disease risk factors fail to explain this trend. Insufficient attention is given to the possible relation between hypertension and birth parameters as well as growth characteristics. It was not known which of the general hypertension risk factors and which of the critical growth period characteristics have major influence on the development of elevated blood pressure in young men in our country. Therefore, this dissertation aims at evaluating the relation of elevated blood pressure in young men (18-21 years old) to the characteristics of different critical growth periods, cardiovascular risk factors, heredity and the socio-economic conditions of the young man‘s family. The research showed the following results: smaller head and chest circumferences at birth along with the body mass index at young adult age are significant prognostic factors for elevated blood pressure; higher velocity of height growth within the first seven years of life and more intensive growth of the body mass index and weight in adolescence have significant relation to elevated blood pressure at young adult age; lean body mass and fat body mass have different influence on blood pressure; young men with elevated blood pressure have bigger skeletons; risky amounts of alcohol consumed and lower physical activity have significant influence on... [to full text] / Pirminė arterinė hipertenzija diagnozuojama kas trečiam suaugusiam. Liga jaunėja, ypač tarp vyrų, šios tendencijos nepavyksta paaiškinti vien bendraisiais kardiovaskulinės rizikos veiksniais. Mažai kreipiamas dėmesys į galimą hipertenzijos ryšį su gimimo parametrais ir augimo ypatumais. Nebuvo aišku, kurie iš bendrųjų hipertenzijos rizikos veiksnių ir kokie kritinių augimo tarpsnių ypatumai daro didžiausią įtaką mūsų šalies jaunimo kraujospūdžio raidai. Todėl disertacija skirta įvertinti jaunuolystės amžiaus vyrų (18-21 metų) padidėjusio kraujospūdžio ryšį su skirtingų kritinių augimo periodų ypatumais, kardiovaskulinės rizikos veiksniais, paveldimumu ir jaunuolio šeimos socioekonominėmis sąlygomis. Ištirtas 231 asmuo (48 atvejo grupėje, 183 kontrolinėje grupėje). Darbe nustatyta, kad mažesnė galvos ir krūtinės apimtis gimus kartu su jaunuolystės kūno masės indeksu yra reikšmingi padidėjusio kraujospūdžio prognostiniai veiksniai. Greitesnis ūgio augimas per pirmus septynerius gyvenimo metus ir paauglystės tarpsnio kūno masės indekso bei svorio intensyvesnis augimo greitis turi reikšmingų sąsajų su padidėjusiu kraujospūdžiu jaunuolystėje. Nustatyta skirtinga liesos kūno masės ir riebalų masės įtaka kraujospūdžiui. Konstatuota, kad padidėjusį kraujospūdį turintys jaunuoliai yra stambesnio skeleto. Reikšmingą įtaką jo kraujospūdžiui turi rizikingais kiekiais vartojamas alkoholis ir mažesnis fizinis aktyvumas. Įvertinta mamos ankstyvo sergamumo pirmine arterine hipertenzija ir... [toliau žr. visą tekstą]

Made available in DSpace on 2015-05-15T11:46:20Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 700931 bytes, checksum: e90ff8d817f64f35c7f45fb88026619e (MD5) Previous issue date: 2014-04-15 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this work, we will use the Mountain Pass Theorem, Ekeland s Variational Principle, the Concentration-Compactness Principle, the Brezis & Nirenberg Method, Penalization Method and some properties involving Nehari manifolds to obtain existence and multiplicity of solutions for the following class of elliptic systems. () 8<: u + V (x)u + u = r(x; u) em R3; = u2 em R3; where r : R3 R ! R is a function that has critical growth. / Neste trabalho, usaremos o Teorema do Passo da Montanha, Princípio Variacional de Ekeland, o Princípio de Concentração de Compacidade, o Método de Brezis & Nirenberga, o Método de Penalização e propriedades envolvendo Variedades de Nehari para obter resultados de existência e multiplicidade de soluções positivas para uma classe de sistemas elípticos ( também conhecidos como sistemas do tipo Schrödinger- Poisson)(-) 8<: -u + V (x)u + u = r(x; u) em R3; = u2 em R3; onde r : R3 R ! R é uma função que possui crescimento crítico.

Neste trabalho consideramos o problema de Navier-Stokes em RN <div style=\"width: 50%; margin: auto;\">ut = &Delta;u &mdash; &nabla;&pi; + f (t) &mdash; (u .&nabla;)u,&nbsp; &nbsp;x&isin; &Omega; <br />div(u) = 0,&nbsp; &nbsp; x &isin; &Omega; <br />u = 0,&nbsp; &nbsp;&nbsp;x &isin; &part; &Omega; <br />u(0, x) = u0 (x), onde u0 &isin; LN (&Omega;)N e &Omega; &eacute; um subconjunto aberto, limitado e suave de RN. Provamos que o problema acima &eacute; localmente bem colocado e fornecemos condi&ccedil;&otilde;es para obter que estas solu&ccedil;&otilde;es existem para todo t &ge; 0. Utilizamos t&eacute;cnicas de equa&ccedil;&otilde;es parab&oacute;licas semilineares considerando n&atilde;o linearidades com crescimento cr&iacute;tico desenvolvidas em (ARRIETA; CARVALHO, 1999). / In this work we we consider the Navier-Stokes problem on RN <div style=\"width: 50%; margin: auto;\">ut = &Delta;u &mdash; &nabla;&pi; + f (t) &mdash; (u .&nabla;)u,&nbsp; &nbsp;x&isin; &Omega; <br />div(u) = 0,&nbsp; &nbsp; x &isin; &Omega; <br />u = 0,&nbsp; &nbsp;&nbsp;x &isin; &part; &Omega; <br />u(0, x) = u0 (x), where u0 &isin; LN (&Omega;)N and &Omega; is an open, bounded and smooth subset of RN. We prove that the above problem is locally well posed and give conditions to obtain that these solutions exist for all t &ge; 0. We used techniques of semilinear parabolic equations considering nonlinearities with critical grouth developed in (ARRIETA; CARVALHO, 1999).

Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-24T13:50:44Z No. of bitstreams: 1 JÉSSYCA LANGE FERREIRA MELO - DISSERTAÇÃO PPGMAT 2010..pdf: 549809 bytes, checksum: d97e157afe502f81bdc9beda3a5c1489 (MD5) / Made available in DSpace on 2018-07-24T13:50:44Z (GMT). No. of bitstreams: 1 JÉSSYCA LANGE FERREIRA MELO - DISSERTAÇÃO PPGMAT 2010..pdf: 549809 bytes, checksum: d97e157afe502f81bdc9beda3a5c1489 (MD5) Previous issue date: 2010-02 / CNPq / Para visualizar o resumo recomendamos do download do arquivo uma vez que o mesmo utiliza formulas ou equações matemáticas que não puderam ser transcritas neste espaço. / To preview the summary we recommend downloading the file since it uses mathematical formulas or equations that could not be transcribed in this space.

Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-15T16:10:53Z No. of bitstreams: 1 arquivototal.pdf: 1030469 bytes, checksum: fd75dc32951ccd2147ed562db94af22a (MD5) / Made available in DSpace on 2017-08-15T16:10:53Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1030469 bytes, checksum: fd75dc32951ccd2147ed562db94af22a (MD5) Previous issue date: 2015-07-30 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / In this work, we study a class of quasilinear elliptic problem involving nonlinearities with subcritical polynomial growth, subcritical exponential growth and critical exponential growth. Our main focus is to treat nonlinearities which do not satisfy the condition of super-quadratic of Ambrosetti-Rabinowitz. Our main tool is the Mountain Pass Theorem with the Cerami condition. / Neste trabalho, estudamos uma classe de problemas elípticos quase lineares envolvendo não linearidades com crescimento polinomial subcrítico, exponencial subcrítico e exponencial crítico. Nosso foco principal é tratar não linearidades que não satisfazem a condição de superquadraticidade de Ambrosetti-Rabinowitz. A nossa ferramenta é o Teorema do Passo da Montanha com a condição de Cerami.

Neste trabalho consideramos o problema de Navier-Stokes em RN <div style=\"width: 50%; margin: auto;\">ut = &Delta;u &mdash; &nabla;&pi; + f (t) &mdash; (u .&nabla;)u,&nbsp; &nbsp;x&isin; &Omega; <br />div(u) = 0,&nbsp; &nbsp; x &isin; &Omega; <br />u = 0,&nbsp; &nbsp;&nbsp;x &isin; &part; &Omega; <br />u(0, x) = u0 (x), onde u0 &isin; LN (&Omega;)N e &Omega; &eacute; um subconjunto aberto, limitado e suave de RN. Provamos que o problema acima &eacute; localmente bem colocado e fornecemos condi&ccedil;&otilde;es para obter que estas solu&ccedil;&otilde;es existem para todo t &ge; 0. Utilizamos t&eacute;cnicas de equa&ccedil;&otilde;es parab&oacute;licas semilineares considerando n&atilde;o linearidades com crescimento cr&iacute;tico desenvolvidas em (ARRIETA; CARVALHO, 1999). / In this work we we consider the Navier-Stokes problem on RN <div style=\"width: 50%; margin: auto;\">ut = &Delta;u &mdash; &nabla;&pi; + f (t) &mdash; (u .&nabla;)u,&nbsp; &nbsp;x&isin; &Omega; <br />div(u) = 0,&nbsp; &nbsp; x &isin; &Omega; <br />u = 0,&nbsp; &nbsp;&nbsp;x &isin; &part; &Omega; <br />u(0, x) = u0 (x), where u0 &isin; LN (&Omega;)N and &Omega; is an open, bounded and smooth subset of RN. We prove that the above problem is locally well posed and give conditions to obtain that these solutions exist for all t &ge; 0. We used techniques of semilinear parabolic equations considering nonlinearities with critical grouth developed in (ARRIETA; CARVALHO, 1999).

Dans cette thèse, nous donnons des résultats d’existence, de non-existence, d’unicité et de multiplicité de solutions pour des équations aux dérivées partielles avec croissance critique dans le gradient. Les principales méthodes utilisées dans nos preuves sont des arguments variationnels, la théorie des sous et sur-solutions, des estimations à priori et la théorie de la bifurcation. La thèse se compose de six chapitres. Dans le chapitre 0 nous introduisons le sujet de thèse et nous présentons les résultats principaux. Le chapitre 1 porte sur l’´étude d’une équation du type p-Laplacien avec croissance critique dans le gradient et dépendant d’un paramètre. En fonction de l’intervalle où se trouve le paramètre, nous obtenons l’existence et l’unicité d’une solution ou nous montrons l’existence et la multiplicité de solutions. Dans les chapitres 2 et 3, nous poursuivons notre étude dans le cas où l’opérateur utilisé est le Laplacien mais, contrairement au chapitre 1, nous étudions le cas où les coefficients changent de signe. Nous obtenons à nouveau des résultats d’existence et de multiplicité de solutions. Dans le chapitre 4, nous étudions des problèmes nonlocaux du type Laplacien fractionnaire avec différents termes de gradient non-local. Nous montrons des résultats d’existence et de non-existence de solutions pour différentes équations de ce type. Finalement, dans le chapitre 5 nous présentons quelques problèmes ouverts liés au contenu de la thèse et des perspectives de recherche. / In this thesis, we provide existence, non-existence, uniqueness and multiplicity results for partial differential equations with critical growth in the gradient. The principal techniques employed in our proofs are variational techniques, lower and upper solution theory, a priori estimates and bifurcation theory. The thesis consists of six chapters. In chapter 0, we introduce the topic of the thesis and we present the main results. Chapter 1 deals with a p-Laplacian type equation with critical growth in the gradient. This equation will depend on a real parameter. Depending on the interval where this parameter lives, we obtain the existence and uniqueness of one solution or we prove the existence and multiplicity of solutions. In chapters 2 and 3, we continue our study in the case where the operator is the Laplacian. However, unlike chapter 1, we study the case where the coefficient functions may change sign. We obtain again existence and multiplicity results. In chapter 4, we study non-local problems of fractional Laplacian type with different non-local gradient terms. We prove existence and non-existence results for different equations of this type. Finally, in chapter 5, we present some open problems related to the content of the thesis and some research perspectives.

Made available in DSpace on 2015-05-15T11:46:19Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1007353 bytes, checksum: 6d3a56556bfe678274eda50fb3c8ebf1 (MD5) Previous issue date: 2014-02-22 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this thesis we establish existence and multiplicity results for solutions to some classes of problems on RN involving the p(x)-Laplacian operator. In the first part, we consider classes of problems dealing with nonlinearities possessing critical growth. Ultimately, we consider a class of problems with a nonlinearity possessing a subcritical growth. In this latter case, we searched for multi-bump solutions. Among the tools we used are Mountain Pass Theorem, Concentration-Compactness Principle, Lion s Lemma, Ekeland s Variational Principle and Penalization Method / Nesta tese estabelecemos resultados de existência e multiplicidade de soluções para algumas classes de problemas sobre RN envolvendo o operador p(x)-laplaciano. Na primeira parte, consideramos classes de problemas com não-linearidades tendo crescimento crítico. Na parte final, consideramos uma classe de problemas com não-linearidade tendo um crescimento subcrítico. Neste último caso, buscamos soluções do tipo multi-bump. Entre as ferramentas utilizadas estão o Teorema do Passo da Montanha, Príncipio de Concentração de Compacidade, Lema de Lions, Princípio Variacional de Ekeland e o Método de Penalização

Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-09-05T10:48:04Z No. of bitstreams: 2 Dissertação - Fábio Sodré Rocha - 2018.pdf: 2598970 bytes, checksum: 6dcbeb213d900d41e0a2064ff8a20d22 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-09-05T11:22:03Z (GMT) No. of bitstreams: 2 Dissertação - Fábio Sodré Rocha - 2018.pdf: 2598970 bytes, checksum: 6dcbeb213d900d41e0a2064ff8a20d22 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-09-05T11:22:03Z (GMT). No. of bitstreams: 2 Dissertação - Fábio Sodré Rocha - 2018.pdf: 2598970 bytes, checksum: 6dcbeb213d900d41e0a2064ff8a20d22 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-08-10 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / In this work our aim is to present an extension of the Trudinger-Moser inequality [20] in unbounded domains of Rn for Sobolev Spaces involving high order derivatives. This inequality is nowadays known as Adams-type inequality [1]. We study the techniques developed in the works due to F. Sani and B. Ruf in [23] and due to N. Lam and G. Lu in [16] which are, essentially, combinations of the Comparison Principle of Trombetti and Vazquez for polyharmonic operators and a symmetrization argument, also known as Schwarz Symmetrization. "With such techniques in hands", our aim is to reduce our problem to the radial case and, as a consequence, find an upper bound for the supremum over all functions belonging to the unit ball of Wn;mn (Rn) provided with some specific norm, as well as the sharpness of the constant that appears in Adams inequalities. / Neste trabalho temos como objetivo apresentar uma extensão da desigualdade de AdamsTrudinger-Moser [1] em domínios ilimitados de Rn para espaços de Sobolev envolvendo derivadas de ordem superior no caso crítico. Esta desigualdade é conhecida hoje como desigualdade do tipo Adams [1]. Nosso estudo é baseado nas técnicas desenvolvidas nos trabalhos devidos à F. Sani e B. Ruf em [23] e à N. Lam e G. Lu em [16], que são, essencialmente, combinações do Princípio de Comparação de Vazquez-Trombetti para operadores poliharmônicos e um argumento de simetrização, também conhecido como Simetrização de Schwarz. Munidos de tais técnicas, nosso objetivo é reduzir nosso problema ao caso radial, e como consequência, encontrar um limite superior para o supremo sobre todas as funções pertecentes à bola unitária de Wn;mn (Rn) provido de uma norma específica, bem como também mostrar a otimalidade da constante presente na desigualdade do tipo Adams.