Elliptic PDEs with fibered nonlinearities

Ovidiu Savin, Enrico Valdinoci

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

In ℝ m ×ℝ n-m, endowed with coordinates x=(x′,x″), we consider bounded solutions of the PDE Δ u(x)=f(u(x))χ(x'). We prove a geometric inequality, from which a symmetry result follows.

Original languageEnglish
Pages (from-to)420-432
Number of pages13
JournalJournal of Geometric Analysis
Volume19
Issue number2
DOIs
Publication statusPublished - 1 Apr 2009
Externally publishedYes

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