Symmetry via maximum principles for nonlocal nonlinear boundary value problems

  • In the qualitative analysis of solutions of partial differential equations, many interesting questions are related to the shape of solutions. In particular, the symmetries of a given solution are of interest. One of the first more general results in this direction was given in 1979 by Gidas, Ni and Nirenberg... The main tool in proving this symmetry and monotonicity result is the moving plane method. This method, which goes back to Alexandrov’s work on constant mean curvature surfaces in 1962, was introduced in 1971 by Serrin in the context of partial differential equations to analyze an overdetermined problem...

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Author:Sven JarohsORCiDGND
Place of publication:Frankfurt am Main
Referee:Tobias WethORCiDGND, Moritz KaßmannORCiDGND
Advisor:Tobias Weth
Document Type:Doctoral Thesis
Date of Publication (online):2016/02/18
Year of first Publication:2015
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Granting Institution:Johann Wolfgang Goethe-Universität
Date of final exam:2015/12/03
Release Date:2016/02/18
Page Number:130
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoDeutsches Urheberrecht