Global branches of positive weak solutions of semilinear elliptic problems over nonsmooth domains

DOI10.1017/S0308210500028535zbMath0801.35004MaRDI QIDQ4303202

Charles A. Stuart, Timothy J. Healey, Hansjoerg Kielhoefer

Publication date: 25 August 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet boundary conditionsemilinear second-order elliptic equationunbounded branch of positive weak solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs with low regular coefficients and/or low regular data (35R05) Bifurcations in context of PDEs (35B32)

Related Items (3)

Global symmetry-breaking bifurcation for the van der Waals-Cahn-Hilliard model on the sphere \(S^2\) ⋮ Global bifurcation of positive solutions of semi-linear elliptic partial differential equations with indefinite weight ⋮ Branches of positive solutions of quasilinear elliptic equations on non-smooth domains

Cites Work

• Compact zones of shear transformation in an anisotropic solid
• The implicit function theorem and the global methods of cohomology
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• A symmetry problem in potential theory
• Some aspects of nonlinear eigenvalue problems
• Elliptic Partial Differential Equations of Second Order
• On finite anti-plane shear for imcompressible elastic materials

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