Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space
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Publication:4555825
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
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 ℝN ⋮ 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
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- Dual variational methods in critical point theory and applications
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- Existence of positive solutions for a semipositone p-Laplacian problem
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- Quasilinear elliptic equations involving critical Sobolev exponents
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- 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
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- 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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