Dirichlet problem for a class of linear second order elliptic partial differential equations with discontinuous coefficients

DOI10.1007/BF02417932zbMath0244.35038MaRDI QIDQ2554836

Maurizio Chicco

Publication date: 1972

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

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (15)

On the solvability of the first BVP for a degenerate elliptic equation ⋮ Well-posedness in weighted Sobolev spaces for elliptic equations of Cordes type ⋮ On some results in weighted spaces under Cordes type conditions ⋮ A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form ⋮ A priori bounds in weighted spaces. ⋮ Correzione alla nota Terzo problema al contorno per una classe di equazioni ellittiche del secondo ordine a coefficienti discontinui ⋮ Osservazione sulla risolubilita del problema di Dirichlet per una classe di equazioni ellittiche a coefficienti discontinui ⋮ Elliptic equations in weighted Sobolev spaces on unbounded domains ⋮ Remarks on regularity for \(p\)-Laplacian type equations in non-divergence form ⋮ Terzo problema al contorno per una classe di equazioni ellitiche del secondo ordine a coefficienti discontinui ⋮ \(W^{2,2}\) a priori bounds for a class of elliptic operators ⋮ The Dirichlet problem for second order elliptic equations with singular data ⋮ On parabolic equations with discontinuous coefficients ⋮ Second order elliptic equations whose coefficients have their first derivatives weakly-\(L^ n\) ⋮ Weighted a priori bounds for elliptic operators of Cordes type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Proprietà di alcune classi di funzioni in più variabili
• Sopra una classe di equazioni ellittiche a coefficienti misurabili
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• Linear and quasilinear elliptic equations
• Equazioni ellittiche del secondo ordine di tipo Cordes con termini di ordine inferiore
• Sulle equazioni ellittiche del secondo ordine a coefficienti continui
• On the spectrum of general second order operators

This page was built for publication: Dirichlet problem for a class of linear second order elliptic partial differential equations with discontinuous coefficients