Linking Solutions for p-Laplace Equations with Nonlinear Boundary Conditions and Indefinite Weight
Chungen Liu, Youquan Zheng
TL;DR
This paper uses the linking method in normed spaces to establish existence results for p-Laplace equations with nonlinear boundary conditions, addressing problems with indefinite weights.
Contribution
It introduces a novel application of the linking method to p-Laplace equations with nonlinear boundary conditions and indefinite weights, providing new existence results.
Findings
Existence of solutions for p-Laplace equations with nonlinear boundary conditions.
Application of the linking method to nonlinear boundary value problems.
Results applicable to equations with indefinite weights.
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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Taxonomy
TopicsNonlinear Differential Equations Analysis · Advanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems