Uniqueness of stable and unstable positive solutions for semipositone problems

DOI10.1016/0362-546X(94)90166-XzbMath0804.35038OpenAlexW2023204453MaRDI QIDQ4290958

Gadam Sudhasree, Alfonso Castro

Publication date: 15 January 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90166-x

zbMATH Keywords

semilinear elliptic equationeigenvalue comparison argumentsone-dimensional maximum principle

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcations in context of PDEs (35B32)

Related Items

Exact multiplicity of positive solutions of a semipositone problem with concave-convex nonlinearity ⋮ On a class of infinite semipositone problems for ( p , q ) Laplace operator ⋮ Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity ⋮ Positive solution curves of semipositone problems with concave nonlinearities ⋮ Evolution of positive solution curves in semipositone problems with concave nonlinearities ⋮ Positive solutions for infinite semipositone problems with falling zeros ⋮ Positive and maximal positive solutions of singular mixed boundary value problem ⋮ On a class of semipositone quasilinear elliptic boundary value problems ⋮ Existence of positive radial solutions for a semipositone elliptic equation ⋮ Exact multiplicity of positive solutions for a class of semilinear problems ⋮ Exact multiplicity of positive solutions for a class of semilinear problem. II ⋮ Positive solutions for a concave semipositone Dirichlet problem

Cites Work

• Unnamed Item
• Existence results for classes of sublinear semipositone problems
• Symmetry and related properties via the maximum principle
• Non-negative solutions for a class of non-positone problems
• Non-Negative Solutions for a Class of Radially Symmetric Non-Positone Problems
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball