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...

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Bibliographic Details
Main Authors: Mabel Cuesta, Liamidi A. Leadi, Pascaline Nshimirimana
Format: Article
Language:English
Published: Texas State University 2019-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/32/abstr.html