Bifurcation from infinity for asymptotically linear elliptic eigenvalue problems.

DOI10.1006/jmaa.2001.7799zbMath1219.35165OpenAlexW1994745096MaRDI QIDQ1599119

Kenichiro Umezu

Publication date: 4 June 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7799

zbMATH Keywords

nonlinear boundary conditiondegree theoryasymptotically linearelliptic eigenvalue problembifurcation from infinitysuper-subsolution

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)

Related Items (4)

Unnamed Item ⋮ THE COMPETITION BETWEEN INCOMING AND OUTGOING FLUXES IN AN ELLIPTIC PROBLEM ⋮ Global bifurcation of positive solutions of asymptotically linear elliptic problems ⋮ Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary

Cites Work

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• Positive solutions of asymptotically linear elliptic eigenvalue problems
• Positive solutions for some semi-positone problems via bifurcation theory
• Some global results for nonlinear eigenvalue problems
• Critical behaviour of nonlinear elliptic boundary value problems suggested by exothermic reactions
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Equivalent Norms for Sobolev Spaces
• Global positive solution branches of positone problems with nonlinear boundary conditions

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