Well-posedness in weighted Sobolev spaces for elliptic equations of Cordes type

DOI10.1007/s13348-015-0161-zzbMath1348.35068OpenAlexW2275134396MaRDI QIDQ314656

Roberta D'Ambrosio, Maria Transirico, Loredana Caso

Publication date: 16 September 2016

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

Full work available at URL: https://doi.org/10.1007/s13348-015-0161-z

zbMATH Keywords

a priori boundselliptic equationsweighted spacesCordes conditionuniqueness and existence results

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) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (2)

Uniqueness results for higher order elliptic equations in weighted Sobolev spaces ⋮ Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains

Cites Work

• Weighted a priori bounds for elliptic operators of Cordes type
• Some remarks on spaces of Morrey type
• Second order elliptic equations of variational type in unbounded domains
• Spazi di Sobolev con peso e problemi ellittici in un angolo. III
• Sopra una classe di equazioni ellittiche a coefficienti misurabili
• Equazioni ellittiche del secondo ordine di tipo Cordes con termini di ordine inferiore
• Compact imbeddings of weighted Sobolev spaces on unbounded domains
• Dirichlet problem for a class of linear second order elliptic partial differential equations with discontinuous coefficients
• A weighted \(W^{2,p}\)-a priori bound for a class of elliptic operators
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