Existence of ground states for fractional Kirchhoff equations with general potentials via Nehari-Pohozaev manifold
We consider the nonlinear fractional Kirchhoff equation $$ \Big(a+b\int_{\mathbb R^3}|(-\Delta)^{\alpha/2} u|^2\,\mathrm{d}x\Big) (-\Delta)^\alpha u+V(x)u=f(u) \quad \text{in } \mathbb R^3, u\in H^{\alpha}(\mathbb R^3), $$ where a>0, $b\ge 0$, $\alpha\in(3/4, 1)$ are three constants, V(x)...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/142/abstr.html |