Positive radial solutions for a class of singular superlinear problems on the exterior of a ball with nonlinear boundary conditions

DOI10.1016/j.jmaa.2017.06.088zbMath1392.35110OpenAlexW2734978386MaRDI QIDQ1746260

Dang Dinh Hai, Ratnasingham Shivaji

Publication date: 24 April 2018

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.2017.06.088

zbMATH Keywords

positive radial solutionsnonlinear boundary conditionsexterior domainssingular superlinear problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (14)

Existence and nonexistence of positive radial solutions for a class of \(p\)-Laplacian superlinear problems with nonlinear boundary conditions ⋮ Positive solutions for a singular superlinear fourth-order equation with nonlinear boundary conditions ⋮ Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations ⋮ Connected component of positive solutions for singular superlinear semi-positone problems ⋮ On a class of singular double phase problems with nonnegative weights whose sum can be zero ⋮ Radial solutions for a Neumann problem with mean curvature on exterior domain ⋮ Existence and multiplicity of positive radial solutions for singular superlinear elliptic systems in the exterior of a ball ⋮ Unnamed Item ⋮ Positive radial solutions to classes of \(p\)-Laplacian systems on the exterior of a ball with nonlinear boundary conditions ⋮ Positive radial solutions of a quasilinear problem in an exterior domain with vanishing boundary conditions ⋮ Positive solutions for some semi-positone problems with nonlinear boundary conditions via bifurcation theory ⋮ Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain ⋮ Positive solutions of singular multiparameter \(p\)-Laplacian elliptic systems ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations

Cites Work

• Unnamed Item
• On radial solutions for singular combined superlinear elliptic systems on annular domains
• Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball
• Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball
• Non-existence of radially symmetric non-negative solutions for a class of semi-positone problems
• Positive solutions of elliptic non-positone problems
• Positive solutions for some semi-positone problems via bifurcation theory
• Branches of radial solutions for semipositone problems
• Inequalities for second-order elliptic equations with applications to unbounded domains. I
• Positive radial solutions for singular quasilinear elliptic equations in a ball
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Non-Negative Solutions for a Class of Radially Symmetric Non-Positone Problems
• Nonnegative solutions to a semilinear dirichlet problem in a ball are positive and radially syhhetric^*
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Existence results for superlinear semipositone BVP’s
• On singular Sturm–Liouville boundary-value problems

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