Elliptic problem involving diffuse measure data

DOI10.1016/j.jde.2012.08.025zbMath1261.35146OpenAlexW2032659828MaRDI QIDQ1759892

Safimba Soma, Stanislas Ouaro, Noureddine Igbida

Publication date: 22 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.jde.2012.08.025

zbMATH Keywords

weak solutionentropic solutionmaximal monotone graphLeray-Lions operatordiffuse measurenonlinear ellipticbiting lemma of ChaconRadon measure data

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92) PDEs with measure (35R06)

Related Items (6)

Unnamed Item ⋮ Existence and uniqueness of renormalized solution to nonlinear anisotropic elliptic problems with variable exponent and \(L^1\)-data ⋮ Existence of a renormalized solution of a parabolic problem in anisotropic Sobolev-Orlicz spaces ⋮ Existence of a renormalized solution to an anisotropic parabolic problem for an equation with diffuse measure ⋮ On \(p(\cdot)\)-Laplacian problem with singular nonlinearity having variable exponent ⋮ Existence and uniqueness for a class of nonlinear elliptic equations with measure data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a nonlinear partial differential equation having natural growth terms and unbounded solution
• On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption
• Singularités éliminables pour des équations semi-linéaires
• Continuity and compactness of measures
• Nonlinear diffusion with absorption
• Semi-linear second-order elliptic equations in \(L^1\)
• Nonlinear problems related to the Thomas-Fermi equation
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• Elliptic equations with vertical asymptotes in the nonlinear term
• Reduced measures for obstacle problems
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Remarks on the uniqueness of comparable renormalized solutions of elliptic equations with measure data
• Reduced measures on the boundary
• Nonlinear elliptic equations with measures revisited
• OBSTACLE PROBLEMS FOR DEGENERATE ELLIPTIC EQUATIONS WITH NONHOMOGENEOUS NONLINEAR BOUNDARY CONDITIONS

This page was built for publication: Elliptic problem involving diffuse measure data