Uniqueness of nonnegative solutions for semipositone problems on exterior domains

DOI10.1016/j.jmaa.2012.04.005zbMath1253.35004OpenAlexW2105865356MaRDI QIDQ439281

Alfonso Castro, Lakshmi N. Sankar, Ratnasingham Shivaji

Publication date: 1 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.005

zbMATH Keywords

a priori estimatesexterior domainsuniqueness resultsnonnegative radial solutionssemipositone problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (27)

Positive stationary solutions of convection-diffusion equations for superlinear sources ⋮ Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains ⋮ Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Existence of solutions for semilinear problems with prescribed number of zeros on exterior domains ⋮ A uniqueness result for a semipositone \(p\)-Laplacian problem on the exterior of a ball ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Existence of infinitely many solutions for semilinear problems on exterior domains ⋮ Positive radial solutions to classes of nonlinear elliptic systems on the exterior of a ball ⋮ Unnamed Item ⋮ Connected component of positive solutions for singular superlinear semi-positone problems ⋮ Uniqueness of positive radial solutions for infinite semipositone \(p\)-Laplacian problems in exterior domains ⋮ A uniqueness result for a \(p\)-Laplacian infinite semipositone problem involving nonlinear boundary conditions ⋮ Monotonic sequences of minimal solutions for semipositone elliptic systems ⋮ Unnamed Item ⋮ Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball ⋮ A coupled \(p\)-Laplacian elliptic system: existence, uniqueness and asymptotic behavior ⋮ Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains ⋮ Positive radial solutions for elliptic equations on exterior domains with nonlinear boundary conditions ⋮ Uniqueness for a class of \(p\)-Laplacian problems when the reaction term tends to zero at infinity ⋮ Positive solutions for a class of superlinear semipositone systems on exterior domains ⋮ Singular reaction diffusion equations where a parameter influences the reaction term and the boundary conditions ⋮ Unnamed Item ⋮ Positive solutions for some semi-positone problems with nonlinear boundary conditions via bifurcation theory ⋮ Non-Zero Radial Solutions for Elliptic Systems with Coupled Functional BCs in Exterior Domains ⋮ Singular semilinear elliptic problems with asymptotically linear reaction terms ⋮ A uniqueness result for a class of infinite semipositone problems with nonlinear boundary conditions ⋮ Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain

Cites Work

• Positive solutions for infinite semipositone problems on exterior domains.
• Existence results for classes of sublinear semipositone problems
• Positive solutions for some semi-positone problems via bifurcation theory
• UNIQUENESS AND NONEXISTENCE OF POSITIVE SOLUTIONS TO SEMIPOSITONE PROBLEMS
• Non-negative solutions for a class of non-positone problems
• Non-Negative Solutions for a Class of Radially Symmetric Non-Positone Problems
• Positive solutions for a concave semipositone Dirichlet problem
• Positive solution curves of semipositone problems with concave nonlinearities
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
• Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity
• Existence results for superlinear semipositone BVP’s

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