On Finding Multiple Solutions to a Singularly Perturbed Neumann Problem

DOI10.1137/100810411zbMath1238.58008OpenAlexW2091248801MaRDI QIDQ2882794

Yongjun Yuan, Jian Xin Zhou, Zi-Qing Xie

Publication date: 7 May 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100810411

zbMATH Keywords

minimax methodlocal mesh refinementsingularly perturbed Neumann problemcritical perturbation value

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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