Articles with "maxwell system" as a keyword



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Quantitative trace estimates for the Maxwell system in Lipschitz domains

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Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7434

Abstract: We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how the estimates precisely depend on the Lipschitz character of the domain. We pay special attention to trace… read more here.

Keywords: lipschitz domains; maxwell system; system lipschitz; quantitative trace ... See more keywords
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Positive ground state solutions for quasicritical the fractional Klein–Gordon–Maxwell system with potential vanishing at infinity

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Published in 2019 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2018.1434625

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… read more here.

Keywords: fractional klein; klein gordon; maxwell system; ground state ... See more keywords
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Two solutions for a nonhomogeneous Klein–Gordon–Maxwell system

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Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"

DOI: 10.14232/ejqtde.2019.1.40

Abstract: In this paper, we consider the following nonhomogeneous Klein–Gordon– Maxwell system{ −∆u + V(x)u− (2ω + φ)φu = f (x, u) + h(x), x ∈ R3, ∆φ = (ω + φ)u2, x ∈ R3, where… read more here.

Keywords: two solutions; gordon maxwell; klein gordon; maxwell system ... See more keywords