Existence and multiplicity of positive radial solutions for singular superlinear elliptic systems in the exterior of a ball

DOI10.1016/J.JDE.2018.08.027zbMath1421.35087OpenAlexW2889536792WikidataQ129333821 ScholiaQ129333821MaRDI QIDQ2423248

Dang Dinh Hai, Ratnasingham Shivaji

Publication date: 21 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.08.027

zbMATH Keywords

positive radial solutionssemilinear system with Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (21)

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 ⋮ Positive solutions to superlinear semipositone problems on the exterior of a ball ⋮ Analysis of positive solutions to one-dimensional generalized double phase problems ⋮ Positive radial solutions to classes of nonlinear elliptic systems on the exterior of a ball ⋮ Radial solutions for a Neumann problem with mean curvature on exterior domain ⋮ Singular semilinear elliptic problems on unbounded domains in \(\mathbb{R}^n\) ⋮ A uniqueness result for a \(p\)-Laplacian infinite semipositone problem involving nonlinear boundary conditions ⋮ Multiple solutions of nonlinear Neumann inclusions ⋮ Positive solutions to classes of infinite semipositone \((p,q)\)-Laplace problems with nonlinear boundary conditions ⋮ Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains ⋮ Positive radial solutions to classes of \(p\)-Laplacian systems on the exterior of a ball with nonlinear boundary conditions ⋮ Analysis of positive radial solutions for singular superlinear \(p\)-Laplacian systems on the exterior of a ball ⋮ Unnamed Item ⋮ A uniqueness result for a class of infinite semipositone problems with nonlinear boundary conditions ⋮ Positive radial solutions to singular nonlinear elliptic problems involving nonhomogeneous operators ⋮ Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain ⋮ Positive solutions of singular multiparameter \(p\)-Laplacian elliptic systems ⋮ Positive radial solutions for a noncooperative resonant nuclear reactor model with sign-changing nonlinearities ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations ⋮ On a power-type coupled system of k-Hessian equations

Cites Work

• Unnamed Item
• On radial solutions for singular combined superlinear elliptic systems on annular domains
• Positive solutions for a class of superlinear semipositone systems on exterior domains
• Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball
• On a class of semilinear elliptic systems.
• Positive solutions for semi-positone systems in an annulus
• Positive radial solutions for a class of singular superlinear problems on the exterior of a ball with nonlinear boundary conditions
• Existence of positive solutions for a class of superlinear semipositone systems
• Positive splutions of semilinear elliptic systems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On the Existence of Positive Solutions of Semilinear Elliptic Equations

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