Search for dissertations about: "degenerate elliptic equation"

Found 5 swedish dissertations containing the words degenerate elliptic equation.

2. 1. Topics in Nonlinear Elliptic Differential Equations

   Author : Shoyeb Waliullah; Andrzej Szulkin; Thomas Bartsch; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Concentration-compactness principle; critical Sobolev exponent; symmetric solutions of elliptic equations; degenerate elliptic equation; Nehari manifold; Caffarelli-Kohn-Nirenberg inequality; infinitely many solutions; MATHEMATICS; MATEMATIK; Mathematics; matematik;

   Abstract : In this thesis we examine the existence of solutions to nonlinear elliptic partial differential equations via variational methods.In Paper I we consider the existence of constrained minimizers which correspond to solutions of equations involving the iterated Laplacian, the iterated p-Laplacian and the critical Sobolev exponent. READ MORE

4. 2. Regularization methods for solving Cauchy problems for elliptic and degenerate elliptic equations

   Author : Jennifer Chepkorir; Vladimir Kozlov; Fredrik Berntsson; Alexei Iantchenko; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : In this thesis, we study Cauchy problems for the elliptic and degenerate elliptic equations. These problems are ill-posed. We split the boundary of the domain into two parts. On one of them, say Γ0, we have available Cauchy data and on remaining part Γ1 we introduce unknown Robin data. READ MORE

5. 3. On parabolic equations of Kolmogorov-Fokker-Planck type

   Author : Malte Litsgård; Kaj Nyström; Ugo Gianazza; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Kolmogorov equation; degenerate parabolic; ultraparabolic; Lipschitz domain; Dirichlet problem; boundary behaviour; parabolic measure.; Mathematics; Matematik;

   Abstract : In this thesis solutions to Kolmogorov-Fokker-Planck type equations are studied. It consists of a comprehensive summary and four scientific articles.In the first article a potential theory for certain strongly degenerate parabolic operators in unbounded domains of Lipschitz type is developed. READ MORE

6. 4. Boundary Value Problems for Nonlinear Elliptic Equations in Divergence Form

   Author : Abubakar Mwasa; Jana Björn; Anders Björn; Tomas Sjödin; Sorina Barza; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : The thesis consists of three papers focussing on the study of nonlinear elliptic partial differential equations in a nonempty open subset Ω of the n-dimensional Euclidean space Rn. We study the existence and uniqueness of the solutions, as well as their behaviour near the boundary of Ω. READ MORE

7. 5. Boundary Behavior of p-Laplace Type Equations

   Author : Benny Avelin; Kaj Nyström; Steve Hofmann; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; p-Laplace; Boundary Harnack inequality; A-harmonic; Ahlfors regularity; NTA-domains; Martin boundary; Reifenberg flat; Approximable by Lipschitz graphs; Subelliptic; Carleson estimate; Mathematics; Matematik;

   Abstract : This thesis consists of six scientific papers, an introduction and a summary. All six papers concern the boundary behavior of non-negative solutions to partial differential equations.Paper I concerns solutions to certain p-Laplace type operators with variable coefficients. READ MORE