Solitary waves for the Klein-Gordon-Maxwell system with critical exponent

DOI10.1016/J.NA.2010.09.033zbMath1204.35159OpenAlexW2014677871MaRDI QIDQ611190

Fei-Zhi Wang

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.033

zbMATH Keywords

solitary wavescritical growthKlein-Gordon-Maxwell systemPohožaev identity

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Soliton equations (35Q51) Soliton solutions (35C08) Maxwell equations (35Q61)

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Cites Work

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• The principle of symmetric criticality
• The existence of surfaces of constant mean curvature with free boundaries
• Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell's equations
• Minimax theorems
• Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Equivalent Norms for Sobolev Spaces

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