A Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem

• Published in: arXiv.org
• Main Authors: McKenna, Patrick J, Pacella, Filomena, Plum, Michael, Roth, Dagmar
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 22.10.2012
• Subjects: Boundary value problems; Complexity; Dirichlet problem; Domains; Eigenvalues; Mathematics - Analysis of PDEs; Uniqueness

A wide variety of articles, starting with the famous paper (Gidas, Ni and Nirenberg in Commun. Math. Phys. 68, 209-243 (1979)) is devoted to the uniqueness question for the semilinear elliptic boundary value problem -{\Delta}u={\lambda}u+u^p in {\Omega}, u>0 in {\Omega}, u=0 on the boundary of {\...