Positive solutions of quasilinear elliptic equations with exponential nonlinearity combined with convection term

DOI10.1016/j.jde.2019.05.006zbMath1421.35168arXiv1808.08805OpenAlexW2964153851WikidataQ127889427 ScholiaQ127889427MaRDI QIDQ2314007

Luiz F. O. Faria, Anderson Luis A. de Araujo

Publication date: 25 July 2019

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

Full work available at URL: https://arxiv.org/abs/1808.08805

zbMATH Keywords

positive solutionsGalerkin approximationTrudinger-Moser inequalityDirichlet problem for the \(N\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (16)

Inverse problems for a class of elliptic obstacle problems involving multivalued convection term and weighted $(p,q)$-Laplacian ⋮ Existence of positive solutions for \((N, p)\)-Laplace equation with exponential nonlinearity term and convection term in dimension \(\mathbb{N}\) ⋮ Double Phase Implicit Obstacle Problems with Convection and Multivalued Mixed Boundary Value Conditions ⋮ Existence of solution for elliptic equations with supercritical Trudinger–Moser growth ⋮ Positive solutions of nonlinear elliptic equations involving supercritical Sobolev exponents without Ambrosetti and Rabinowitz condition ⋮ Fixed point theorem: variants, affine context and some consequences ⋮ A class of quasilinear elliptic equations with singular and exponential terms ⋮ The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions ⋮ Existence and regularity results for nonlinear elliptic equations in Orlicz spaces ⋮ Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth ⋮ Double phase implicit obstacle problems with convection term and multivalued operator ⋮ Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two ⋮ Nonlinear nonhomogeneous obstacle problems with multivalued convection term ⋮ Existence, nonexistence, and asymptotic behavior of solutions for \(N\)-Laplacian equations involving critical exponential growth in the whole \({\mathbb{R}}^N\) ⋮ Existence of solution for a nonlinear equation with supercritical exponential growth ⋮ On a critical exponential \(p \& N\) equation type: existence and concentration of changing solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solution for a general class of elliptic equations with exponential growth
• Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
• Positive solutions of quasi-linear elliptic equations with dependence on the gradient
• Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques.
• The maximum principle
• Functional analysis, Sobolev spaces and partial differential equations
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Existence of solution for a nonvariational elliptic system with exponential growth in dimension two
• A priori estimates and existence of positive solutions for strongly nonlinear problems
• Existence results for nonlinear elliptic equations with Leray-Lions operator and dependence on the gradient
• Linear and quasilinear elliptic equations
• Multiplicity of solutions for a class of quasilinear equations with exponential critical growth
• (N,q)-Laplacian problems with critical Trudinger–Moser nonlinearities
• Comparison and Positive Solutions for Problems with the (p, q)-Laplacian and a Convection Term
• Emden-Fowler equations involving critical exponents
• Boundary regularity for solutions of degenerate elliptic equations
• On a class of superlinear elliptic problems
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• On an inequality by N. Trudinger and J. Moser and related elliptic equations

This page was built for publication: Positive solutions of quasilinear elliptic equations with exponential nonlinearity combined with convection term