Existence of a global branch of solutions of semilinear elliptic equations in \(\mathbb R^n\)

DOI10.1016/S0022-247X(02)00614-5zbMath1085.35057MaRDI QIDQ1869953

Alice Simon, Allan L. Edelson

Publication date: 4 May 2003

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

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)

Cites Work

• Unnamed Item
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• Existence of two positive solutions for an elliptic problem depending on a parameter in \(\mathbb{R}^ n\)
• Global solution branches for positive mappings
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Some global results for nonlinear eigenvalue problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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