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Existence of Nontrivial Solution for Klein-Gordon-Maxwell System with Logarithmic Nonlinearity

DOI: 10.4236/oalib.1109120, PP. 1-11

Subject Areas: Partial Differential Equation

Keywords: Klein-Gordon-Maxwell System, Logarithmic Nonlinearity, Variational Methods, Nontrivial Solution, Mountain Pass Theorem

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Abstract

In this paper, we study the nonautonomous Klein-Gordon-Maxwell system with logarithmic nonlinearity. We obtain the existence of nontrivial solution for this system by logarithmic Sobolev inequality and variational method.

Cite this paper

Shi, Q. (2022). Existence of Nontrivial Solution for Klein-Gordon-Maxwell System with Logarithmic Nonlinearity. Open Access Library Journal, 9, e9120. doi: http://dx.doi.org/10.4236/oalib.1109120.

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