Existence of solutions to nonlinear fractional Schrodinger equations with singular potentials
We study the eigenvalue problem $$ (-\Delta)^s u(x)+ V(x)u(x)-K(x)|u|^{p-2}u(x) =\lambda u(x) \quad \text{in } \mathbb{R}^N, $$ where $s\in(0,1)$, $N>2s$, $2<p<2^{*}=\frac{2N}{N-2s}$, V(x) is indefinite and allowed to be unbounded from below, and K(x) is nonnegative and allowed to be...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/218/abstr.html |