Bifurcation from the first eigenvalue of the p-Laplacian with nonlinear boundary condition
We consider the problem $$\displaylines{ \Delta_{p}u =|u|^{p-2}u \quad\text{in }\Omega, \cr |\nabla u|^{p-2}\frac{\partial u}{\partial \nu}=\lambda|u|^{p-2}u + g(\lambda,x,u) \quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded domain of $\mathbb{R}^{N}$ with smooth boundary, $N\geq...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2019-02-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2019/32/abstr.html |