The Dirichlet Problem for Elliptic Equations with VMO Coefficients in Generalized Morrey Spaces

DOI10.1007/978-3-0348-0516-2_21zbMath1268.35040OpenAlexW1843514307MaRDI QIDQ4912927

Lubomira G. Softova

Publication date: 28 March 2013

Published in: Advances in Harmonic Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0516-2_21

zbMATH Keywords

Dirichlet problema priori estimateVMOuniformly elliptic operatorsgeneralized Morrey spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Linear operators on function spaces (general) (47B38) Strong solutions to PDEs (35D35)

Related Items (11)

Some remarks on solvability of Dirichlet problem for Laplace equation in non-standard function spaces ⋮ On local solvability of higher order elliptic equations in rearrangement invariant spaces ⋮ Unnamed Item ⋮ Solvability in the small of $m$-th order elliptic equations in weighted grand Sobolev spaces ⋮ On the Fredholmness of the Dirichlet problem for a second-order elliptic equation in grand-Sobolev spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Thought on Generalized Morrey Spaces ⋮ Unnamed Item ⋮ Generalized Olsen inequality and Schrödinger type elliptic equations ⋮ Unnamed Item

Cites Work

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• Weighted Hardy and potential operators in the generalized Morrey spaces
• Morrey-type regularity of solutions to parabolic problems with discontinuous data
• Fine regularity for elliptic systems with discontinuous ingredients
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• On \(BMO\) regularity for linear elliptic systems
• Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients
• Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs
• Singular integral operators in Morrey spaces and interior regularity of solutions to systems of linear PDE's
• Characterization of the interior regularity for parabolic systems with discontinuous coefficients
• Singular integrals and commutators in generalized Morrey spaces
• A priori estimates and precise regularity for parabolic systems with discontinuous data
• On the existence of certain singular integrals
• Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces
• Singular Integral Operators and Differential Equations
• On functions of bounded mean oscillation
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Functions of Vanishing Mean Oscillation
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations

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