On certain non-variational elliptic equations of higher order with discontinuous coefficients
type: Item
instance of: scholarly article
title: On certain non-variational elliptic equations of higher order with discontinuous coefficients
zbMATH Open document ID: 0618.35035
author: Antonietta Cioffi
published in: Ricerche di Matematica
publication date: 1985-01-01T00:00:00Z
review text: The aim of the present work is to prove existence and uniqueness for the solution of a boundary value problem associated to a particular linear higher order elliptic partial differential equation, in non-divergence form, with discontinuous coefficients. The form of the operator and the hypotheses on the coefficients are too technical to be reviewed here. The work extends previous results by \textit{C. Miranda} [Ann. Mat. Pura Appl., IV. Ser. 63, 353-386 (1963; Zbl 0156.340)], \textit{F. Mandras} and \textit{G. Porru} [Ric. Mat. 31, 191-206 (1982; Zbl 0528.35033)], \textit{A. Canfora} and \textit{P. Zecca} [Ann. Mat. Pura Appl., IV. Ser. 141, 369-384 (1985; Zbl 0593.35034)].
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 4002619
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: linear higher order elliptic partial differential equation
zbMATH Keywords: non-divergence form
zbMATH Keywords: discontinuous coefficients
reviewed by: Maurizio Chicco
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4002619