Positive ground state solutions for quasicritical Klein-Gordon-Maxwell type systems with potential vanishing at infinity
This article concerns the Klein-Gordon-Maxwell type system when the nonlinearity has a quasicritical growth at infinity, involving zero mass potential, that is, $V(x)\to 0$, as $|x|\to\infty$. The interaction of the behavior of the potential and nonlinearity recover the lack of the compactness...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/154/abstr.html |
| Summary: | This article concerns the Klein-Gordon-Maxwell type system when the
nonlinearity has a quasicritical growth at infinity, involving
zero mass potential, that is, $V(x)\to 0$, as $|x|\to\infty$.
The interaction of the behavior of the potential and nonlinearity recover
the lack of the compactness of Sobolev embedding in whole space.
The positive ground state solution is obtained by proving that the solution
satisfies Mountain Pass level. |
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| ISSN: | 1072-6691 |