Gradient estimates below duality exponent for a class of linear elliptic systems

DOI10.1007/s00030-010-0093-yzbMath1219.35344OpenAlexW2085309552MaRDI QIDQ543476

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 June 2011

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-010-0093-y

zbMATH Keywords

elliptic systems\(L^1\)-data\(VMO\)-coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Function spaces arising in harmonic analysis (42B35) Partial functional-differential equations (35R10) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30)

Related Items (17)

Morrey estimates for some classes of elliptic equations with a lower order term ⋮ Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data ⋮ Smallness and cancellation in some elliptic systems with measure data ⋮ Existence of Hölder continuous solutions for a class of degenerate fourth-order elliptic equations ⋮ Morrey estimates for a class of elliptic equations with drift term ⋮ Morrey estimates for solutions of singular quadratic nonlinear equations ⋮ Regularity results for solutions of a class of parabolic systems with measure data ⋮ Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space ⋮ Construction of solutions to parabolic and hyperbolic initial–boundary value problems ⋮ Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ Potential operators in modified Morrey spaces defined on Carleson curves ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ Generalizing Hopf’s Boundary Point Lemma ⋮ Another approach of Morrey estimate for linear elliptic equations with partially BMO coefficients in a half space ⋮ Maximal integrability for general elliptic problems with diffusive measures

Cites Work

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• Nonlinear elliptic and parabolic equations involving measure data
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• Regularity results for solutions of nonlinear elliptic equations with \(L^{1,\lambda }\) data
• On \(BMO\) regularity for linear elliptic systems
• A note on Riesz potentials
• Hölder regularity of the solutions of some classes of elliptic systems in convex nonsmooth domains
• The singular set of minima of integral functionals
• Proprieta di inclusione per spazi di Morrey
• Higher differentiability for solutions of linear elliptic systems with measure data
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Functions of Vanishing Mean Oscillation
• An optimal Poincaré inequality in $L^1$ for convex domains
• Regularity results for the gradient of solutions of linear elliptic systems with VMO-coefficients and L 1,λ data

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