Existence of positive solutions for a class of semipositone problem in whole ℝN

DOI10.1017/prm.2019.20zbMath1459.35206OpenAlexW2926395662MaRDI QIDQ4965353

Jefferson A. dos Santos, Angelo R. F. de Holanda, Claudianor Oliveira Alves

Publication date: 1 March 2021

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/prm.2019.20

zbMATH Keywords

existence of positive solutionsvariational methodssemilinear equation with Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

On the fourth order semipositone problem in \(\mathbb{R}^N\) ⋮ On a class of infinite semipositone problems for ( p , q ) Laplace operator ⋮ A nonsmooth variational approach to semipositone quasilinear problems in \(\mathbb{R}^N\)

Cites Work

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• On positive solutions of one-dimensional semipositone equations with nonlinear boundary conditions
• Positive solutions of elliptic non-positone problems
• Positive solutions for some semi-positone problems via bifurcation theory
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Existence of positive solutions for a semipositone p-Laplacian problem
• A variational approach to superlinear semipositone elliptic problems
• Existence of positive solutions for a class of p-Laplacian superlinear semipositone problems
• Non-negative solutions for a class of non-positone problems
• Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
• Existence results for superlinear semipositone BVP’s

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