A uniqueness result for a semipositone \(p\)-Laplacian problem on the exterior of a ball

DOI10.1016/J.JMAA.2016.07.029zbMath1364.35105OpenAlexW2488481069MaRDI QIDQ323824

Inbo Sim, Byungjae Son, Ratnasingham Shivaji

Publication date: 10 October 2016

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.2016.07.029

zbMATH Keywords

uniqueness of solutionspositive radial solutions\(p\)-Laplacianexterior domains

Mathematics Subject Classification ID

Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (13)

Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Existence and nonexistence of positive radial solutions for a class of \(p\)-Laplacian superlinear problems with nonlinear boundary conditions ⋮ A uniqueness result for infinite semipositone p-Laplacian problems in a ball ⋮ Positive radial solutions to classes of nonlinear elliptic systems on the exterior of a ball ⋮ Uniqueness of positive radial solutions for infinite semipositone \(p\)-Laplacian problems in exterior domains ⋮ Eigenvalue problems for singular \(p\)-Monge-Ampère equations ⋮ A coupled \(p\)-Laplacian elliptic system: existence, uniqueness and asymptotic behavior ⋮ Uniqueness for a class of \(p\)-Laplacian problems when the reaction term tends to zero at infinity ⋮ Analysis of positive solutions for a class of semipositone \(p\)-Laplacian problems with nonlinear boundary conditions ⋮ On the number of positive radial solutions for singular superlinear problems in the exterior of a ball ⋮ Unnamed Item ⋮ Uniqueness of positive radial solutions for a class of infinite semipositone 𝑝-Laplacian problems in a ball

Cites Work

• Unnamed Item
• Singular quasilinear elliptic problems on unbounded domains
• Positive solutions for infinite semipositone problems on exterior domains.
• Uniqueness of nonnegative solutions for semipositone problems on exterior domains
• Existence results for classes of sublinear semipositone problems
• Uniqueness of positive solutions for a class of semipositone elliptic systems
• Uniqueness of positive solutions for a class of quasilinear problems
• Existence and uniqueness for a class of quasilinear elliptic boundary value problems.
• An existence result on positive solutions for a class of \(p\)-Laplacian systems.
• An existence result for superlinear semipositone \(p\)-Laplacian systems on the exterior of a ball.
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
• An existence result on positive solutions for a class of semilinear elliptic systems
• Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity
• Classes of infinite semipositone systems

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