Finding multiple solutions to elliptic PDE with nonlinear boundary conditions

DOI10.1007/s10915-013-9689-9zbMath1278.65188OpenAlexW2007952583MaRDI QIDQ368097

Zhi-Qiang Wang, An Le, Jian Xin Zhou

Publication date: 18 September 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-013-9689-9

zbMATH Keywords

numerical examplesnonlinear boundary conditionmultiple solutionelliptic PDEboundary integral-boundary element methodlocal minimax-boundary element method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs ⋮ Existence of positive solution to Schrödinger-type semipositone problems with mixed nonlinear boundary conditions ⋮ Convergence for a planar elliptic problem with large exponent Neumann data ⋮ Convergence analysis of a minimax method for finding multiple solutions of semilinear elliptic equation.: I: On polyhedral domain

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