On a class of nonlinear obstacle problems with measure data

DOI10.1080/03605300008821584zbMath0969.35069OpenAlexW1549857551MaRDI QIDQ4521115

Chiara Leone

Publication date: 1 October 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821584

zbMATH Keywords

obstacle problemsmeasure dataLewy-Stampacchia inequality

Mathematics Subject Classification ID

Related Items (6)

Calderón–Zygmund type estimates for singular quasilinear elliptic obstacle problems with measure data ⋮ Asymptotic behavior result for obstacle parabolic problems with measure data ⋮ A two-obstacle problem with variable exponent and measure data ⋮ The obstacle problem for nonlinear elliptic equations with variable growth and \(L^{1}\)-data ⋮ Nonlinear gradient estimates for elliptic double obstacle problems with measure data ⋮ Stability results for obstacle problems with measure data

Cites Work

• Approximated solutions of equations with \(L^ 1\) data. Application to the \(H\)-convergence of quasilinear parabolic equations
• Nonlinear elliptic and parabolic equations involving measure data
• Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets
• A property of nonlinear elliptic equations when the right-hand side is a measure
• Existence and uniqueness of solutions for nonlinear obstacle problems with measure data
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Convergence of convex sets and of solutions of variational inequalities
• On the smoothness of superharmonics which solve a minimum problem
• Weakly Differentiable Functions
• Definition and existence of renormalized solutions of elliptic equations with general measure data
• Non-existence of solutions for some nonlinear elliptic equations involving measures
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