Blow up Near Higher Modes of Nonlinear Wave Equations

DOI10.2307/2000576zbMath0626.35063OpenAlexW4229797571MaRDI QIDQ3029468

Natalia Sternberg

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000576

zbMATH Keywords

initial-boundary value problemblow-upcritical valueLjusternik-Schnirelman theorysemilinear wave equationsunstableDirichletminimum-maximum principleinfinitely many steady state solutionsnon-definite energy functional

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70)

Related Items (2)

A spectral method for nonlinear wave equations ⋮ Existence of nodal solutions of semilinear equations in \({\mathbb{R}}^ n\)

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
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• Dual variational methods in critical point theory and applications
• Lusternik-Schnirelman theory on Banach manifolds
• A minimum-maximum principle for a class of non-linear integral equations
• Topics in stability and bifurcation theory
• Unstable Ground State of Nonlinear Klein-Gordon Equations

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