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ABSTRACT This paper deals with the fractional Klein–Gordon–Maxwell system when the nonlinearity has a quasicritical growth at infinity, where V(x) is bounded or involving zero mass potential, that is, when… Click to show full abstract
ABSTRACT This paper deals with the fractional Klein–Gordon–Maxwell system when the nonlinearity has a quasicritical growth at infinity, where V(x) is bounded or involving zero mass potential, that is, when , as . The interaction of the behaviour 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 the Mountain Pass level.
Keywords:
fractional klein;
klein gordon;
maxwell system;
ground state;
positive ground;
gordon maxwell
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019
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Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019
Link to full text (if available)
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recommendations!