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1 
A sufficient condition for subellipticity of the dbarNeumann problemHerbig, AnneKatrin, January 2004 (has links)
Thesis (Ph. D.)Ohio State University, 2004. / Title from first page of PDF file. Document formatted into pages; contains vi, 55 p. : ill. Advisor: McNeal, J.D., Dept. of Mathematics. Includes bibliographical references (p. 5455).

2 
Multiple nodal solutions for some singularly perturbed Neumann problems. / Multiple nodal solutionsJanuary 2004 (has links)
Chan Sik Kin. / Thesis (M.Phil.)Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 3841). / Abstracts in English and Chinese. / Chapter 1  Introduction  p.4 / Chapter 2  Preliminary analysis  p.11 / Chapter 3  LiapunovSchmidt Reduction  p.19 / Chapter 4  The reduced problem: A Minimizing Procedure  p.32 / Chapter 5  Proof of the theorem 1.2  p.35 / Bibliography  p.38

3 
Compactness of the dbarNeumann problem and Stein neighborhood basesSahutoglu, Sonmez 16 August 2006 (has links)
This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifold M of dimension at least k in the boundary of a smooth
bounded pseudoconvex domain
in Cn is an obstruction to compactness of the @
Neumann operator on (p, q)forms for 0 p k n, provided that at some point
of M, the Levi form of b
has the maximal possible rank n − 1 − dim(M) (i.e. the
boundary is strictly pseudoconvex in the directions transverse to M). In particular,
an analytic disc is an obstruction to compactness of the @Neumann operator on
(p, 1)forms, provided that at some point of the disc, the Levi form has only one
vanishing eigenvalue (i.e. the eigenvalue zero has multiplicity one). We also show
that a boundary point where the Levi form has only one vanishing eigenvalue can
be picked up by the plurisubharmonic hull of a set only via an analytic disc in the
boundary.
In the second part we obtain a weaker and quantified version of McNealÂs Property
( eP) which still implies the existence of a Stein neighborhood basis. Then we give
some applications on domains in C2 with a defining function that is plurisubharmonic
on the boundary.

4 
Boundary behavior of the Bergman kernel function on strongly pseudoconvex domains with respect to weighted Lebesgue measureKennell, Lauren R. January 2005 (has links)
Thesis (Ph. D.)Ohio State University, 2005. / Title from first page of PDF file. Document formatted into pages; contains vii, 79 p. Includes bibliographical references (p. 79). Available online via OhioLINK's ETD Center

5 
A nonlocal Neumann problem for semilinear elliptic equations.January 2011 (has links)
Ng, Chit Yu. / Thesis (M.Phil.)Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 8990). / Abstracts in English and Chinese.

6 
Concentration phenomena for a singularly perturbed Neumann problem.January 2010 (has links)
Ao, Weiwei. / "August 2010." / Thesis (M.Phil.)Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 9297). / Abstracts in English and Chinese. / Abstract  p.ii / Acknowledgement  p.v / Chapter 1  Introduction  p.1 / Chapter 2  Spikes on Single LineSegments  p.12 / Chapter 2.1  Ansatz and sketch of the proof  p.12 / Chapter 2.2  Linear theory  p.15 / Chapter 2.3  The non linear projected problem  p.20 / Chapter 2.4  Projection of the error and proof of Theorem 1.0.1  p.24 / Chapter 3  The triple junction solutions  p.33 / Chapter 3.1  Approximate solutions  p.33 / Chapter 3.2  linear and nonlinear projected problem  p.35 / Chapter 3.3  Error estimates and the proof of theorem 1.0.2  p.35 / Chapter 4  Layer concentrations in threedimensional domain  p.45 / Chapter 4.1  Preliminaries and setting up the problem  p.45 / Chapter 4.1.1  A linear model problem  p.45 / Chapter 4.1.2  Setting up the problem in suitable coordinates  p.53 / Chapter 4.2  The gluing procedure  p.62 / Chapter 4.3  The invertibility of L2  p.65 / Chapter 4.4  Solving the nonlinear projected problem  p.67 / Chapter 4.5  Estimates of the projection against ∇w and Z  p.72 / Chapter 4.5.1  estimates for the projection of the error  p.73 / Chapter 4.5.2  projection of terms involving φ  p.78 / Chapter 4.5.3  projection of errors on the boundary  p.80 / Chapter 4.6  "The system for (f1, f2, e):proof of the theorem"  p.81

7 
Geometry and analysis on real hypersurfaces.January 1995 (has links)
by Wong Sai Yiu. / Thesis (M.Phil.)Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 9497). / Introduction  p.iii / Chapter 1  Invariants on ideals of holomorphic function germs  p.1 / Chapter 1.1  Preliminaries  p.1 / Chapter 1.2  Ideals of holomorphic function germs  p.3 / Chapter 1.3  The order of contact of an ideal  p.7 / Chapter 1.4  Higher order invariants  p.11 / Chapter 2  Geometry on real hypersurfaces of Cn  p.14 / Chapter 2.1  CR geometry  p.14 / Chapter 2.2  The associated family of holomorphic ideals on real subvaxiety of Cn  p.18 / Chapter 2.3  Relationships between points of finite type and complex varieties  p.25 / Chapter 2.4  The case of pseudoconvex real hypersurfaces  p.33 / Chapter 2.5  Other finite type conditions  p.35 / Chapter 3  Point of finite type and the dNeumann problem  p.44 / Chapter 3.1  Introduction  p.44 / Chapter 3.2  Subellipticity and subelliptic multipliers  p.47 / Chapter 3.3  Geometry on Kohn's ideals of subelliptic multipliers  p.60 / Chapter 3.4  The Diederich  Fornaess theorem  p.66 / Chapter 3.5  Catlin's necessary condition on subellipticity  p.69 / Chapter 4  Analysis on finite type domains  p.78 / Chapter 4.1  The Bergman projection  p.78 / Chapter 4.2  Boundary regularity of proper holomorphic mappings  p.83 / Chapter 4.3  Local regularity and extension of CR mappings  p.88 / Bibliography  p.94

8 
A higherorder energy expansion to twodimensional singularly perturbed Neumann problems.January 2004 (has links)
Yeung Wai Kong. / Thesis (M.Phil.)Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 5155). / Abstracts in English and Chinese. / Chapter 1  Introduction  p.5 / Chapter 2  Some Preliminaries  p.13 / Chapter 3  "Approximate Function we,p"  p.17 / Chapter 4  "The Computation Of Je[we,p]"  p.21 / Chapter 5  The Signs of c1 And c3  p.30 / Chapter 6  The Asymptotic Behavior of ue and Je[ue]  p.35 / Chapter 7  "The Proofs Of Theorem 1.1, Theorem 1.2 And Corol lary 11"  p.40 / Appendix  p.43 / Bibliography  p.51

9 
Boundary regularity of the Neumann problem for the Kohn Laplacian on the Heisenberg group /Hladky, Robert K. January 2004 (has links)
Thesis (Ph. D.)University of Washington, 2004. / Vita. Includes bibliographical references (p. 111112).

10 
Integralformeln und a prioriAbschätzungen für das [delta bar]NeumannProblemStrauss, Albrecht. January 1988 (has links)
Thesis (doctoral)Universität Bonn, 1988. / Cover title: Integraldarstellungen und a prioriAbschätzungen für das [delta bar]NeumannProblem. Includes bibliographical references (p. 9496).

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