Positivity results for indefinite sublinear elliptic problems via a continuity argument

DOI10.1016/j.jde.2017.05.021zbMath1393.35059arXiv1610.07872OpenAlexW2545764506MaRDI QIDQ2013905

Humberto Ramos Quoirin, Kenichiro Umezu, Uriel Kaufmann

Publication date: 10 August 2017

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

Full work available at URL: https://arxiv.org/abs/1610.07872

zbMATH Keywords

positive solutionssemilinear elliptic problemLaplacian

Mathematics Subject Classification ID

Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (11)

Non-existence of dead cores in fully nonlinear elliptic models ⋮ Positive solutions of an elliptic Neumann problem with a sublinear indefinite nonlinearity ⋮ Nonnegative solutions of an indefinite sublinear Robin problem. II: Local and global exactness results ⋮ Unnamed Item ⋮ Nonnegative solutions of an indefinite sublinear Robin problem. I: positivity, exact multiplicity, and existence of a subcontinuum ⋮ Uniqueness and sign properties of minimizers in a quasilinear indefinite problem ⋮ Some uniqueness results in quasilinear subhomogeneous problems ⋮ A curve of positive solutions for an indefinite sublinear Dirichlet problem ⋮ Uniqueness and positivity issues in a quasilinear indefinite problem ⋮ Uniqueness of positive solutions for boundary value problems associated with indefinite \(\phi\)-Laplacian-type equations ⋮ Loop type subcontinua of positive solutions for indefinite concave-convex problems

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