Existence of positive solutions to the nonlinear Choquard equation with competing potentials
This article concerns the existence of positive solutions of the nonlinear Choquard equation $$ -\Delta u+a(x)u=b(x)\Big(\frac{1}{|x|}*|u|^2\Big)u,\quad u\in H^{1}({\mathbb R}^3), $$ where the coefficients a and b are positive functions such that $a(x)\to\kappa_\infty$ and $b(x)\to \mu_\inft...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/63/abstr.html |