Bifurcation of positive solutions from zero or infinity in elliptic problems which are not linearizable

DOI10.1016/S0362-546X(99)00241-2zbMath0974.35042OpenAlexW1987241351WikidataQ128024727 ScholiaQ128024727MaRDI QIDQ5931371

Bryan P. Rynne, Martin A. Youngson

Publication date: 12 December 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00241-2

zbMATH Keywords

global bifurcationsnonlinear elliptic partial differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Bifurcations in context of PDEs (35B32)

Related Items (6)

Global bifurcation from infinity in some nonlinear Sturm-Liouville problems ⋮ Global bifurcation of positive solutions from zero in nonlinearizable elliptic problems with indefinite weight ⋮ Global bifurcation results for some fourth‐order nonlinear eigenvalue problem with a spectral parameter in the boundary condition ⋮ Unnamed Item ⋮ Global bifurcation of positive solutions of semi-linear elliptic partial differential equations with indefinite weight ⋮ Unnamed Item

Cites Work

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• On bifurcation from infinity
• Some global results for nonlinear eigenvalue problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• ASYMPTOTIC LINEARITY AND NONLINEAR EIGENVALUE PROBLEMS

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