Existence of infinitely many solutions for nonlinear Neumann problems with indefinite coefficients

We consider the nonlinear Neumann boundary-value problem $$\displaylines{ - \Delta u +u =a(x)| u | ^{p-2}u\quad \text{in }\Omega,\cr \frac{\partial u}{\partial \nu}=\lambda b(x)|u|^{q-2}u\quad \text{on } \partial\Omega, }$$ where $N\ge 3$ and $\Omega \subset \mathbb{R}^N$ is a bounded domain...

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Bibliographic Details
Main Author: Daisuke Naimen
Format: Article
Language:English
Published: Texas State University 2014-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/181/abstr.html