Lusternik-Schnirelman and Morse theory for the van der Waals-Cahn-Hilliard equation with volume constraint
DOI10.1016/j.na.2022.112851zbMath1490.35178arXiv2007.07024OpenAlexW3042423328MaRDI QIDQ2132492
Luis Eduardo Osorio Acevedo, Stefano Nardulli, Vieri Benci, Paolo Piccione
Publication date: 28 April 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07024
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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