Dirichlet problem for a divergence form elliptic equation with unbounded coefficients in an unbounded domain

DOI10.1007/BF02505902zbMath1031.35044MaRDI QIDQ1422839

Marina Venturino, Maurizio Chicco

Publication date: 25 February 2004

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemunbounded coefficientsdivergence form elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (8)

On optimal \(L^1\)-control in coefficients for quasi-linear Dirichlet boundary value problems with \textit{BMO}-anisotropic \(p\)-Laplacian ⋮ On optimal controls in coefficients for ill-posed non-linear elliptic Dirichlet boundary value problems ⋮ Dirichlet problem for divergence form elliptic equations with discontinuous coefficients ⋮ A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form ⋮ Well posedness for one class of elliptic equations with drift ⋮ An \(L^p\)-estimate for weak solutions of elliptic equations ⋮ Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces ⋮ On unbounded optimal controls in coefficients for ill-posed elliptic Dirichlet boundary value problems

Cites Work

• Proprietà di alcune classi di funzioni in più variabili
• Best constant in Sobolev inequality
• A priori inequalities in \(L^\infty (\Omega)\) for solutions of elliptic equations in unbounded domains
• Alcune osservazioni sulla maggiorazione in \(L^ \nu\) delle soluzioni deboli delle equazioni ellittiche del secondo ordine
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Unnamed Item
• Unnamed Item

This page was built for publication: Dirichlet problem for a divergence form elliptic equation with unbounded coefficients in an unbounded domain