Existence and concentration of positive ground states for Schrodinger-Poisson equations with competing potential functions
This article concerns the Schrodinger-Poisson equation $$\displaylines{ -\varepsilon^2\Delta u+V(x)u+K(x)\phi u=P(x)|u|^{p-1}u+Q(x) |u|^{q-1}u,\quad x\in\mathbb{R}^3,\cr -\varepsilon^2\Delta \phi=K(x)u^2,\quad x\in\mathbb{R}^3, }$$ where $3<q<p<5=2^{\ast}-1$. We prove that for all $\v...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2020-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2020/78/abstr.html |