Universität zu Köln

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