Simple proofs of some results in perturbed bifurcation theory

DOI10.1017/S030821050003167XzbMath0511.35007OpenAlexW2133592267MaRDI QIDQ4750174

Ratnasingham Shivaji, Kenneth J. Brown

Publication date: 1982

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050003167x

zbMATH Keywords

multiplicitysupersolutionssubsolutionsperturbed bifurcation

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Degree, winding number (55M25) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32)

Related Items

Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R^{n}, On the fourth order semipositone problem in \(\mathbb{R}^N\), Existence of positive solutions for a parameter fractional \(p\)-Laplacian problem with semipositone nonlinearity, Monotonic sequences of minimal solutions for semipositone elliptic systems, Existence and uniqueness of positive solution for some semipositone Schrödinger boundary value problems in bounded domains, Positive solutions for a class of superlinear semipositone systems on exterior domains, Non-negative solutions for a class of non-positone problems, Existence results for classes of sublinear semipositone problems, Existence results for classes of \(p\)-Laplacian semipositone equations

Cites Work

• Unnamed Item
• Unnamed Item
• Perturbed bifurcation theory at multiple eigenvalues
• An anti-maximum principle for second order elliptic operators
• Some aspects of nonlinear eigenvalue problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Branching of Solutions of Nonlinear Equations
• Perturbed bifurcation theory
• Perturbed bifurcation theory