Linking Solutions for p-Laplace Equations with Nonlinear Boundary Conditions and Indefinite Weight

2010/11/24 by Chungen Liu, Chungen Lıu, Liu, Chungen +2 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Nonlinear Differential Equations Analysis #math.AP #msc:35D05 #msc:35J25 #msc:35J60

paper · pdf · doi:10.48550/arxiv.1011.5281

29 pages. Accepted for publication on Calculus of Variations and PDE's

arxiv created 2010/11/24 · arxiv updated 2010/11/25

Abstract

We apply the linking method for cones in normed spaces to p-Laplace equations with various nonlinear boundary conditions. Some existence results are obtained.

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• Nontrivial solutions for nonlinear problems driven by a superposition of fractional p-Laplacians with Neumann boundary conditions

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