Existence and multiplicity of stationary solutions for a Cahn-Hilliard-type equation in \(\mathbb{R}^N\)

DOI10.3934/PROC.2015.0010zbMath1342.35108OpenAlexW2326717831MaRDI QIDQ260697

Pablo Álvarez-Caudevilla

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0010

zbMATH Keywords

countable family of critical pointsstationary Cahn-Hilliard equationvariational setting

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Semilinear elliptic equations (35J61) Initial-boundary value problems for higher-order parabolic systems (35K52)

Cites Work

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• Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation. I: Mountain pass and Lusternik-Schnirel'man patterns in \(\mathbb{R}^{N}\)
• Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II
• Dual variational methods in critical point theory and applications
• Steady States, Global Existence and Blow-up for Fourth-Order Semilinear Parabolic Equations of Cahn–Hilliard Type
• Standing Wave Solutions for a System Derived from the Fitzhugh–Nagumo Equations for Nerve Conduction
• Blow-up and global asymptotics of the limit unstable Cahn--Hilliard equation
• Spatial patterns. Higher order models in physics and mechanics

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