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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Format: | Article |
Language: | English |
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Texas State University
2014-08-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2014/181/abstr.html |