Positive ground state solutions for quasicritical Klein-Gordon-Maxwell type systems with potential vanishing at infinity

Date

2017-06-27

Authors

de Moura, Elson Leal
Miyagaki, Olimpio H.
Ruviaro, Ricardo

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

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) → 0, as |x| → ∞. 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.

Description

Keywords

Klein-Gordon-Maxwell, Positive solution, Ground state, Vanishing potential

Citation

de Moura, E. L., Miyagaki, O. H., & Ruviaro, R. (2017). Positive ground state solutions for quasicritical Klein-Gordon-Maxwell type systems with potential vanishing at infinity. <i>Electronic Journal of Differential Equations, 2017</i>(154), pp. 1-11.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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