On the existence of positive solutions to semilinear elliptic systems involving gradient term

DOI10.1080/00036811.2017.1419204zbMath1418.35138OpenAlexW2783149634MaRDI QIDQ5741687

El Haj Laamri, Boumediene Abdellaoui, Ahmed Attar

Publication date: 15 May 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1419204

zbMATH Keywords

elliptic systemnonlinear gradient termsbi-Laplacien operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary value problems for second-order elliptic systems (35J57) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (7)

Nonlinear elliptic systems with coupled gradient terms ⋮ Biharmonic elliptic problems with second Hessian and gradient nonlinearities ⋮ On some nonlocal elliptic systems with gradient source terms ⋮ Fractional KPZ system with nonlocal ``gradient terms ⋮ Elliptic Hamilton-Jacobi systems and Lane-Emden Hardy-Hénon equations ⋮ A generalization of a criterion for the existence of solutions to semilinear elliptic equations ⋮ Existence results to a class of nonlinear parabolic systems involving potential and gradient terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A quasilinear elliptic system with natural growth terms
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Functional analysis, Sobolev spaces and partial differential equations
• Singularités éliminables pour des équations semi-linéaires
• Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
• Criteria of solvability for multidimensional Riccati equations
• Existence results for a class of nonlinear elliptic problems with \(p\)-growth in the gradient
• Some fourth order nonlinear elliptic problems related to epitaxial growth
• Morrey global bounds and quasilinear Riccati type equations below the natural exponent
• Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms
• EXISTENCE OF FINITE ENERGY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH L¹-VALUED NONLINEARITIES
• Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures
• NUMERICAL MODELING OF INDUCTION HEATING FOR TWO-DIMENSIONAL GEOMETRIES
• Nonlinear Degenerate Elliptic Partial Differential Equations with Critical Growth Conditions on the Gradient
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
• Large Solutions for a System of Elliptic Equations Arising from Fluid Dynamics

This page was built for publication: On the existence of positive solutions to semilinear elliptic systems involving gradient term