Calderón-Zygmund estimates for measure data problems

DOI10.1016/j.crma.2007.02.005zbMath1190.35088OpenAlexW2070377682WikidataQ58880875 ScholiaQ58880875MaRDI QIDQ877985

Giuseppe Mingione

Publication date: 4 May 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.02.005

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational methods for elliptic systems (35J50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Global estimates for non-uniformly nonlinear elliptic equations in a convex domain, Global gradient estimates for nonlinear elliptic equations with vanishing Neumann data in a convex domain, Calderón-Zygmund type estimates for a class of obstacle problems with \(p(x)\) growth, Weighted \(W^{1, p(\cdot)}\)-regularity for degenerate elliptic equations in Reifenberg domains, Higher-order nondivergence elliptic and parabolic equations in Sobolev spaces and Orlicz spaces, Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in \textit{BMO}, Regularity results for a class of obstacle problems in Heisenberg groups., Singularities of minima: a walk on the wild side of the calculus of variations, Nonlinear gradient estimates for elliptic equations in quasiconvex domains

Cites Work

• Nonlinear elliptic and parabolic equations involving measure data
• A note on Riesz potentials
• Inverting the \(p\)-harmonic operator
• A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with \(VMO\) coefficients.
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Besov-Morrey spaces: Function space theory and applications to non-linear PDE
• Uniqueness and maximal regularity for nonlinear elliptic systems of n--Laplace type with measure valued right hand side
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item