A uniqueness result for a singular nonlinear eigenvalue problem

DOI10.1017/S0308210512000418zbMath1297.35159OpenAlexW1983287394MaRDI QIDQ2866544

Ratnasingham Shivaji, Alfonso Castro, Eunkyoung Ko

Publication date: 13 December 2013

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210512000418

zbMATH Keywords

maximum principleuniquenessclassical solutionminimal positive solutionsingular nonlinear eigenvalue problemcomparison arguments

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)

Related Items (6)

Uniqueness for a class of singular quasilinear Dirichlet problem ⋮ Positive radial solutions to classes of singular problems on the exterior domain of a ball ⋮ Uniqueness for a class of \(p\)-Laplacian problems when the reaction term tends to zero at infinity ⋮ Existence of three positive solutions for a nonlocal singular Dirichlet boundary problem ⋮ \(S\) -shaped bifurcation diagrams in exterior domains ⋮ A uniqueness result for a class of singular 𝑝-Laplacian Dirichlet problem with non-monotone forcing term

This page was built for publication: A uniqueness result for a singular nonlinear eigenvalue problem