Curves of Positive Solutions for Supercritical Problems

DOI10.1080/0003681021000058592zbMath1274.35116OpenAlexW1992577376WikidataQ58259947 ScholiaQ58259947MaRDI QIDQ4435611

Philip Korman

Publication date: 17 November 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681021000058592

zbMATH Keywords

multiplicity of solutionsnon-existence for supercritical problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (4)

Symmetry-breaking bifurcation for the one-dimensional Liouville type equation ⋮ Global solution curves for a class of elliptic systems ⋮ Global solution curves for self-similar equations ⋮ Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source

Cites Work

• Uniqueness of positive solutions of semilinear equations in \(R^ n\).
• Symmetry and related properties via the maximum principle
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A priori bounds for positive solutions of nonlinear elliptic equations
• An Exact Multiplicity Result for a class of Semilinear Equations
• Proof of a conjecture for the perturbed Gelfand equation from combustion theory

This page was built for publication: Curves of Positive Solutions for Supercritical Problems