Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks

DOI10.1007/s005260050153zbMath0952.35029OpenAlexW1979322551WikidataQ115387752 ScholiaQ115387752MaRDI QIDQ1567051

Matthias Winter, Wei, Juncheng

Publication date: 4 January 2001

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/518

zbMATH Keywords

Lyapunov-Schmidt methodnonlinear elliptic equationsCahn-Hillard equationspike-layer solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45)

Related Items (5)

Invariant manifolds of interior multi-spike states for the Cahn-Hilliard equation in higher space dimensions ⋮ Equilibria with many nuclei for the Cahn-Hilliard equation ⋮ Critical points of a singular perturbation problem via reduced energy and local linking ⋮ The Neumann boundary problem for a nonlocal Cahn-Hilliard equation ⋮ The Dirichlet boundary problem for a nonlocal Cahn-Hilliard equation

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