Cette thése concerne l'existence et la régularité de solutions d'équations non-linéaires elliptiques, d'équations paraboliques et d'équations de Hesse avec mesures, et les critéres de l'existence de solutions grandes d'équations elliptiques et paraboliques non-linéaires. \textbf{Liste de publications} \begin{description} \item[1.] Avec M. F. Bidaut-Véron, L. Véron; {\em Quasilinear Lane-Emden equations with absorption and measure data,} Journal des Mathématiques Pures et Appliquées,~{\bf 102}, 315-337 (2014). \item[2] Avec L. Véron; {\em Quasilinear and Hessian type equations with exponential reaction and measure data,} Archive for Rational Mechanics and Analysis, {\bf 214}, 235-267 (2014). \item[3] Avec L. Véron; {\em Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption,} 17 pages, soumis, arXiv:1308.2956. \item[4] Avec M. F. Bidaut-Véron; {\em Stability properties for quasilinear parabolic equations with measure data,} 29 pages, á apparaître dans Journal of European Mathematical Society, arXiv:1409.1518. \item[5] Avec M. F. Bidaut-Véron; {\em Evolution equations of $p$-Laplace type with absorption or source terms and measure data}, 21 pages, á apparaître dans Communications in Contemporary Mathematics, arXiv:1409.1520. \item[6] {\em Potential estimates and quasilinear parabolic equations with measure data,} 118 pages, arXiv:1405.2587v1. \item[7] Avec L. Véron; {\em Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain,} 29 pages, soumis,\\ arXiv:1406.3850. \item[8] Avec M. F. Bidaut-Véron; {Pointwise estimates and existence of solutions of porous medium and $p$-Laplace evolution equations with absorption and measure data,\em } 27 pages, soumis, arXiv:1407.2218. \end{description}\begin{description} \item[1.] Avec M. F. Bidaut-Véron, L. Véron; {\em Quasilinear Lane-Emden equations with absorption and measure data,} Journal des Mathématiques Pures et Appliquées,~{\bf 102}, 315-337 (2014). \item[2] Avec L. Véron; {\em Quasilinear and Hessian type equations with exponential reaction and measure data,} Archive for Rational Mechanics and Analysis, {\bf 214}, 235-267 (2014). \item[3] Avec L. Véron; {\em Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption,} 17 pages, soumis, arXiv:1308.2956. \item[4] Avec M. F. Bidaut-Véron; {\em Stability properties for quasilinear parabolic equations with measure data,} 29 pages, á apparaître dans Journal of European Mathematical Society, arXiv:1409.1518. \item[5] Avec M. F. Bidaut-Véron; {\em Evolution equations of $p$-Laplace type with absorption or source terms and measure data}, 21 pages, á apparaître dans Communications in Contemporary Mathematics, arXiv:1409.1520. \item[6] {\em Potential estimates and quasilinear parabolic equations with measure data,} 118 pages, arXiv:1405.2587v1. \item[7] Avec L. Véron; {\em Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain,} 29 pages, soumis,\\ arXiv:1406.3850. \item[8] Avec M. F. Bidaut-Véron; {Pointwise estimates and existence of solutions of porous medium and $p$-Laplace evolution equations with absorption and measure data,\em } 27 pages, soumis, arXiv:1407.2218. \end{description}
| Identifer | oai:union.ndltd.org:CCSD/oai:tel.archives-ouvertes.fr:tel-01063365 |
| Date | 25 September 2014 |
| Creators | Nguyen, Quoc-Hung |
| Publisher | Université François Rabelais - Tours |
| Source Sets | CCSD theses-EN-ligne, France |
| Language | English |
| Detected Language | French |
| Type | PhD thesis |
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