Existence theorems for generalized Klein-Gordon equations
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Publication:3037905
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)
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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