Global topological perturbations of nonlinear elliptic eigenvalue problems

DOI10.1002/mma.1670050125zbMath0522.35044OpenAlexW1975248561MaRDI QIDQ3672370

Klaus Schmitt, Heinz-Otto Peitgen

Publication date: 1983

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670050125

zbMATH Keywords

global branchesnonlinear Dirichlet problemnonlinear elliptic eigenvalue problemsglobal topological perturbationstwo distinct unbounded branches of solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Equations involving nonlinear operators (general) (47J05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Global Analysis of Two-Parameter Elliptic Eigenvalue Problems, A Priori Bounds for Positive Solutions of a Semilinear Elliptic Equation, Positive solutions of systems of nonlinear eigenvalue problems, Trajectories joining critical points of nonlinear parabolic and hyperbolic partial differential equations, Nontrivial solutions of elliptic boundary value problems with resonance at zero

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions of asymptotically linear elliptic eigenvalue problems
• On eigenvalue problems for nondifferentiable mappings
• Concave solutions of singular non-linear differential equations
• Some global results for nonlinear eigenvalue problems
• On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces