Existence of positive solutions for a semipositone p-Laplacian problem

DOI10.1017/S0308210515000657zbMath1358.35045OpenAlexW2407384917MaRDI QIDQ2832273

Alfonso Castro, Emer Lopera, Djairo G. de Figueredo

Publication date: 10 November 2016

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/s0308210515000657

zbMATH Keywords

maximum principlesa priori estimatesmountain pass theorempositive solutions\(p\)-Laplaciansemipositone problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51)

Related Items (14)

On radial solutions for singular combined superlinear elliptic systems on annular domains ⋮ Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space ⋮ Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball ⋮ On the fourth order semipositone problem in \(\mathbb{R}^N\) ⋮ Nonhomogeneous multiparameter problems in Orlicz–Sobolev spaces ⋮ Positive solutions for a class semipositone quasilinear problem with Orlicz–Sobolev critical growth ⋮ Existence of positive solutions for a parameter fractional \(p\)-Laplacian problem with semipositone nonlinearity ⋮ A nonsmooth variational approach to semipositone quasilinear problems in \(\mathbb{R}^N\) ⋮ Positive solutions to classes of infinite semipositone \((p,q)\)-Laplace problems with nonlinear boundary conditions ⋮ Existence of positive solution to Schrödinger-type semipositone problems with mixed nonlinear boundary conditions ⋮ Existence of positive solutions for a class of semipositone problems with Kirchhoff operator ⋮ Existence of positive solutions for a class of semipositone problem in whole ℝ^N ⋮ On a class of semipositone problems with singular Trudinger-Moser nonlinearities ⋮ A class of semipositone \(p\)-Laplacian problems with a critical growth reaction term

Cites Work

• Existence of positive solutions for a class of superlinear semipositone systems
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• Quasilinear elliptic equations involving critical Sobolev exponents
• On The Dirichletproblem for Quasilinear Equations
• On the Existence of Positive Solutions of Semilinear Elliptic Equations

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