Stampacchia–Caldéron–Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift

DOI10.1051/cocv/2018032zbMath1437.35231OpenAlexW2804555883MaRDI QIDQ5107952

Boccardo, Lucio

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2018032

zbMATH Keywords

Dirichlet problemdiscontinuous coefficientsexistence of solutionssecond-order linear elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items

Weak maximum principle for Dirichlet problems with convection or drift terms ⋮ The impact of the zero order term in the study of Dirichlet problems with convection or drift terms ⋮ Local boundedness under nonstandard growth conditions ⋮ Existence and regularity of solutions to elliptic equation with singular convection term and lower order term ⋮ Dirichlet problem for noncoercive nonlinear elliptic equations with singular drift term in unbounded domains ⋮ Maximum principle thanks to interplay between coefficients in some Dirichlet problems ⋮ Existence of solutions to elliptic problem with convection term and lower-order term ⋮ Calderon-Zygmund-Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift ⋮ Very singular solutions for linear Dirichlet problems with singular convection terms ⋮ Two semilinear Dirichlet problems ``almost in duality ⋮ Regularizing effect of the interplay between coefficients in Dirichlet problems with convection or drift terms ⋮ Analysis of control problems of nonmontone semilinear elliptic equations ⋮ A quasilinear singular elliptic problem related to the Kardar–Parisi–Zhang equation

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