Existence of solutions to supercritical Neumann problems via a new variational principle
We use a new variational principle to obtain a positive solution of $$ -\Delta u + u= a(|x|)|u|^{p-2}u \quad \text{in } B_1, $$ with Neumann boundary conditions where $B_1$ is the unit ball in $\mathbb{R}^N$, a is nonnegative, radial and increasing and $p>2$. Note that for $N \ge 3$ this in...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/213/abstr.html |