The Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains of the plane

DOI10.2478/s12175-013-0173-7zbMath1340.35019OpenAlexW2000107593MaRDI QIDQ5746311

Maria Salvato, Maria Transirico, Serena Boccia

Publication date: 18 February 2014

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-013-0173-7

zbMATH Keywords

discontinuous coefficientselliptic equationsweighted spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• The Dirichlet problem for elliptic equations in unbounded domains of the plane
• A priori bounds for elliptic operators in weighted Sobolev spaces

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