Multiple positive solutions for a nonlocal problem involving critical exponent
This article concerns the nonlocal problem $$\displaylines{ -\Big(a-b\int_{\mathbb{R}^4}|\nabla u|^2\,dx\Big)\Delta u=|u|^2u+\mu f(x), \quad\text{in }\mathbb{R}^4,\cr u\in \mathcal{D}^{1,2}(\mathbb{R}^4), }$$ where a, b are positive constants, $\mu$ is a non-negative parameter, $f(x)\in L^{4/...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/275/abstr.html |