SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS

By Vieri Benci, D. Fortunato. 2002

400 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8a39395921f8b122e94ed5694d16d106585b82c1

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In Applied Mathematics

In Mathematical Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations (2004, background): “Following the ideas already introduced in [5], [6], [7], [10], [11], [14], [15], we do not assume that the electromagnetic eld is assigned.”
Sign-changing solutions for the nonlinear Schrödinger–Poisson system in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{documen (2014, background): “1), we refer the reader to the papers [4,5] and the references therein.”
Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2014, background): “term φu is nonlocal and concerns the interaction with the electric ﬁeld. For more detailed physical aspects of systems like (1.1) and for further mathematical and physical interpretation, we refer to [3, 12, 13] and the references therein. In recent years, there has been increasing attention to syst”
The concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system (2017, neutral): “2) we refer to [5] and the references therein.”
Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials (2017, background): “For more details in the physical aspects, we refer the readers to [4, 5].”
Standing waves of nonlinear Schrödinger equations with the gauge field (2012, result): “7) can be compared to recent interesting studies (see [1,3,6,12] and references therein) on the Schrödinger–Poisson equation u − ωu − μ ( 1 |x| ∗ |u| 2 ) u + |u|q−2u = 0 in R3, (1.”
Non-Existence Results for the Coupled Klein-Gordon-Maxwell Equations (2004, background): “In [2] the authors find infinitely many radially symmetric solutions having bounded energy for 4 < p < 6; in [10] the range p ∈ (2, 4] is also covered.”
Positive solutions for some non-autonomous Schrödinger–Poisson systems (2010, neutral): “[5,8,14]) and in semiconductor theory [3,4,15,16].”