Positive solutions for infinite semipositone problems on exterior domains.

zbMath1249.35081MaRDI QIDQ417026

Eun Kyoung Lee, Ratnasingham Shivaji, Lakshmi N. Sankar

Publication date: 11 May 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

exterior domainLaplacianpositive radial solutionsemipositone problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Axially symmetric solutions to PDEs (35B07)

Related Items (20)

Positive solutions to superlinear semipositone problems on the exterior of a ball ⋮ 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 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 ⋮ Uniqueness of positive radial solutions for infinite semipositone \(p\)-Laplacian problems in exterior domains ⋮ Singular quasilinear elliptic problems on unbounded domains ⋮ Existence and nonexistence of sign-changing solutions for singular superlinear equations on exterior domains ⋮ 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 ⋮ Analysis on existence of positive solutions for a class second order semipositone differential equations ⋮ Uniqueness of nonnegative solutions for semipositone problems on exterior domains ⋮ Unnamed Item ⋮ Alternate steady states for classes of reaction diffusion models on exterior domains ⋮ 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 ⋮ Singular semilinear elliptic problems with asymptotically linear reaction terms ⋮ A uniqueness result for a class of infinite semipositone problems with nonlinear boundary conditions ⋮ On positive periodic solutions of second-order semipositone differential equations ⋮ Existence and nonexistence of sign-changing solutions for singular semilinear equations on exterior domains

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