Nonlinear multiplicative inequalities and estimates of gradients of solutions of elliptic equations
type: Item
instance of: scholarly article
title: Nonlinear multiplicative inequalities and estimates of gradients of solutions of elliptic equations
zbMATH Open document ID: 0642.35018
DOI: 10.1007/BF01159570
published in: Mathematical Notes
publication date: 1986-01-01T00:00:00Z
review text: The note is devoted to estimates in the metric of the spaces \(L^ p(\Omega)\), \(\Omega \subset R^{\ell}\), of the gradients of generalized solutions of the Dirichlet problem for the elliptic equations (- \(\sum^{\ell}_{k=1} \sum^{\ell}_{j=1}\partial /\partial x_ ka_{kj}\partial /\partial x_ j+\lambda)u=f.\)
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 4046230
zbMATH Keywords: gradients
zbMATH Keywords: generalized solutions
zbMATH Keywords: Dirichlet problem
author: Michael Perelmuter
MaRDI profile type: Publication
cites work: Essential self-adjointness of second-order elliptic operator with measurable coefficients
cites work: Q3905599
description: scientific article; zbMATH DE number 4046230