Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space

DOI10.1090/proc/14212zbMath1405.35049OpenAlexW2806555343WikidataQ129758020 ScholiaQ129758020MaRDI QIDQ4555825

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

Publication date: 23 November 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14212

zbMATH Keywords

existence of solutionsvariational methodsquasilinear elliptic equations\(\Phi\)-Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (12)

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 global result for a degenerate quasilinear eigenvalue problem with discontinuous nonlinearities ⋮ A nonsmooth variational approach to semipositone quasilinear problems in \(\mathbb{R}^N\) ⋮ Multiplicity and concentration behavior of positive solutions for a quasilinear problem in Orlicz-Sobolev spaces without Ambrosetti-Rabinowitz condition via penalization method ⋮ Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains ⋮ 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 ⋮ Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain ⋮ Positive solutions for a semipositone \(\phi\)-Laplacian problem ⋮ Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis

Cites Work

• On positive solutions of one-dimensional semipositone equations with nonlinear boundary conditions
• On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
• Positive solutions of elliptic non-positone problems
• Positive solutions for some semi-positone problems via bifurcation theory
• Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations
• Dual variational methods in critical point theory and applications
• Orlicz-Sobolev spaces and imbedding theorems
• Existence of positive solutions for a semipositone p-Laplacian problem
• A variational approach to superlinear semipositone elliptic problems
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• Existence of positive solutions for a class of p-Laplacian superlinear semipositone problems
• Non-negative solutions for a class of non-positone problems
• Boundary regularity for solutions of degenerate elliptic equations
• Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Existence results for superlinear semipositone BVP’s
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