Nonlinear elliptic systems with coupled gradient terms

DOI10.1007/s10440-020-00329-7zbMath1465.35188OpenAlexW3016801616MaRDI QIDQ829555

Ahmed Attar, Rachid Bentifour, El Haj Laamri

Publication date: 6 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://hal.univ-lorraine.fr/hal-03275893/file/NonlinearEllipticSystemsWithCoupledGrandientTerms.pdf

zbMATH Keywords

Dirichlet problemnonlinear elliptic systemsexistence and non-existence of solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strongly coupled elliptic equations related to mean-field games systems
• Existence results to a class of nonlinear parabolic systems involving potential and gradient terms
• Some remarks on elliptic problems with critical growth in the gradient
• Mean field games. I: The stationary case
• Mean field games. II: Finite horizon and optimal control
• A quasilinear elliptic system with natural growth terms
• Quasilinear Riccati type equations with distributional data in Morrey space framework
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• 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)
• Résolution de problèmes elliptiques quasilineaires
• Capacitary strong type estimates in semilinear problems
• 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
• On the existence of positive solutions to semilinear elliptic systems involving gradient term

This page was built for publication: Nonlinear elliptic systems with coupled gradient terms