Search for dissertations about: "Elliptic singular problem"

Showing result 1 - 5 of 9 swedish dissertations containing the words Elliptic singular problem.

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. Spectra of elliptic operators and applications

   Author : Medet Nursultanov; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Helmholtz and Maxwell s equations; functional calculus; electromagnetic waveguide; acoustic waveguide; Sturm-Liouville operator; singular potential; asymptotics of eigenvalues; point interactions.;

   Abstract : In this thesis we consider several problems related to elliptic equations. Namely, we investigate Helmholtz and Maxwell's equations in Paper I and Sturm-Liouville spectral problem in Papers II,III. In Paper I we study time-harmonic electromagnetic and acoustic waveguide, modeled by an in�nite cylinder with a non-smooth cross section. READ MORE

5. 3. Non-linear Free Boundary Problems

   Author : Andreas Minne; Henrik Shahgholian; Herbert Koch; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; free boundary; elliptic; fully non-linear; Mathematics; Matematik;

   Abstract : This thesis consists of an introduction and four research papers related to free boundary problems and systems of fully non-linear elliptic equations.Paper A and Paper B prove optimal regularity of solutions to general elliptic and parabolic free boundary problems, where the operators are fully non-linear and convex. READ MORE

6. 4. Cut isogeometric methods on trimmed multipatch surfaces

   Author : Tobias Jonsson; Mats G. Larson; Karl Larsson; Johan Hoffman; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; cut finite element method; isogeometric analysis; Nitsche s method; a priori error estimation; parametric geometry; interface problem; surface CAD;

   Abstract : Partial differential equations (PDE) on surfaces appear in a variety of applications, such as image processing, modeling of lubrication, fluid flows, diffusion, and transport of surfactants.  In some applications, surfaces are drawn and modeled by using CAD software, giving a very precise patchwise parametric description of the surface. READ MORE

7. 5. Parabolic problems on noncylindrical domains : the method of Rothe

   Author : Komil Kuliev; Luleå tekniska universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Abstract : This Licentiate Thesis deals with parabolic problems on non-cylindrical domains. The existence and uniqueness of the corresponding initial- boundary value problem is proved by the method of Rothe, which - for the case of non-cylindrical domains - has to be appropriately generalized and applied. READ MORE