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. Electronic Journal of Differential Equations, 2017(154), pp. 1-11.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.