Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II

DOI10.1016/j.nonrwa.2011.03.001zbMath1244.35019arXiv1103.2643OpenAlexW2962739677MaRDI QIDQ546204

Enzo Mitidieri, Victor A. Galaktionov, Pohozaev, Stanislav I.

Publication date: 24 June 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2643

zbMATH Keywords

blow-upextinctionsimilarity solutionscompactonsfibering methodLusternik--Schnirel'man categorynon-Lipschitz termsquasilinear ODEs

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for higher-order parabolic equations (35K30) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07) Quasilinear parabolic equations (35K59)

Related Items (8)

On \(\sqrt{\log\log}\) blow-up in higher-order reaction-diffusion and wave equations: A formal ``geometric approach ⋮ Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation. I: Mountain pass and Lusternik-Schnirel'man patterns in \(\mathbb{R}^{N}\) ⋮ The Cauchy problem for a tenth-order thin film equation. I. bifurcation of oscillatory fundamental solutions ⋮ Existence and multiplicity of symmetric solutions for a class of singular elliptic problems ⋮ The KPP-problem and \(\log t\)-front shift for higher-order semilinear parabolic equations ⋮ The Cauchy problem for a tenth-order thin film equation. II: Oscillatory source-type and fundamental similarity solutions ⋮ Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II ⋮ Existence and multiplicity of stationary solutions for a Cahn-Hilliard-type equation in \(\mathbb{R}^N\)

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