Krämer, Jan Martin (2020). Regularity and Symmetry Results for Ground State Solutions of Quasilinear Elliptic Equations. PhD thesis, Universität zu Köln.

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Abstract

This dissertation deals with boundary value problems similar to the p-Laplace and prescribed mean curvature equation with Dirichlet boundary conditions. The equation is structurally more complicated than the p-Laplace equation and it is elliptic, but not uniformly elliptic. The main results are: - Study of the qualitative behaviour of radially symmetric solutions. - Symmetry of mountain pass solutions using Schwarz symmetrization. - A decay estimate for the Hoelder norm of the derivatives.

Item Type: Thesis (PhD thesis)
Creators:
Creators
Email
ORCID
ORCID Put Code
Krämer, Jan Martin
email@jmkraemer.de
UNSPECIFIED
UNSPECIFIED
URN: urn:nbn:de:hbz:38-122524
Date: 2020
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects: Mathematics
Uncontrolled Keywords:
Keywords
Language
pde, elliptic equation, partial differential equations, p-Laplace, prescribed mean curvature equation, symmetry, Schwarz symmetrization, Hölder Regularity, decay estimate
English
Date of oral exam: 24 June 2020
Referee:
Name
Academic Title
Kawohl, Bernd
Prof. Dr.
Sweers, Guido
Prof. Dr.
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/12252

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