Existence theorems for generalized Klein-Gordon equations

DOI10.1090/S0273-0979-1983-15108-XzbMath0524.35048MaRDI QIDQ3037905

Ezzat S. Noussair, Charles A. Swanson

Publication date: 1983

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existencepositive solutionsKlein-Gordon equationssemi-linear elliptic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Periodic solutions to PDEs (35B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation ⋮ Unbounded positive entire solutions of semilinear elliptic equations ⋮ Stability for semilinear parabolic equations with decaying potentials in \(\mathbb{R}^n\) and dynamical approach to the existence of ground states ⋮ Imbedding estimates involving new norms and applications ⋮ Positive entire solutions of semilinear elliptic equations ⋮ Decaying entire positive solutions of quasilinear elliptic equations

Cites Work

• Une méthode locale pour l'existence de solutions positives de problèmes semi-linéaires elliptiques dans \(R^ n\).
• Existence and multiplicity theorems for semi-linear elliptic boundary value problems
• Existence of solitary waves in higher dimensions
• Dual variational methods in critical point theory and applications
• On the existence and structure of stationary states for a nonlinear Klein-Gordon equation
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Embedding Theorems and Quasi-Linear Elliptic Boundary Value Problems for Unbounded Domains
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