Uniqueness for sublinear boundary value problems

DOI10.1016/0022-0396(73)90028-4zbMath0247.35052OpenAlexW2033922322MaRDI QIDQ2555970

Theodore Laetsch

Publication date: 1973

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90028-4

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (18)

Remarks on sublinear elliptic equations ⋮ Unnamed Item ⋮ Existence and uniqueness of positive solutions for the Neumann \(p\)-Laplacian ⋮ The local stability of positive solutions to the Hammerstein equation with a nonmonotonic Nemytskii operator ⋮ Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity ⋮ Some comparison and uniqueness theorems for nonlinear elliptic boundary value problems and nonlinear parabolic initial-boundary value problems ⋮ On the number of solutions of asymptotically superlinear two point boundary value problems ⋮ Comparison and positivity theorems for linear and nonlinear boundary value problems ⋮ Supersolutions, monotone iterations, and stability ⋮ The asymptotic behaviour of solutions of nonlinear integral equations ⋮ On the number of bounded positive solutions of the exterior elliptic boundary value problems ⋮ The Asymptotic Behavior of the Solutions of Degenerate Parabolic Equations ⋮ On the number of solutions of boundary value problems with convex nonlinearities ⋮ On the number of solutions of nonlinear equations in ordered Banach spaces ⋮ On the linearization of some singular, nonlinear elliptic problems and applications ⋮ Nonnegative solutions for the degenerate logistic indefinite sublinear equation ⋮ On the structure of the positive solutions of the logistic equation with nonlinear diffusion ⋮ On the uniqueness of positive solution of an elliptic equation

Cites Work

• Comparison and positivity theorems for linear and nonlinear boundary value problems
• On the number of solutions of boundary value problems with convex nonlinearities
• Nonlinear boundary value problems suggested by chemical reactor theory
• Nonexistence and uniqueness of positive solutions of nonlinear eigenvalue problems
• Asymptotic Behavior of Certain Nonlinear Boundary-Value Problems
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