Gårding's inequality for elliptic operators with degeneracy
type: Item
instance of: scholarly article
title: Gårding's inequality for elliptic operators with degeneracy
zbMATH Open document ID: 1205.47045
DOI: 10.1134/S0001434610010268
author: S. A. Iskhokov
published in: Mathematical Notes
publication date: 2010-09-24T00:00:00Z
review text: In the interesting paper under review, the author derives a Gårding-type weighted inequality for degenerate elliptic operators in an arbitrary (bounded or unbounded) domain of the \(n\)-dimensional Euclidean space \(\mathbb R^n.\) That inequality is used in the study of unique solvability of a specific variational problem of Dirichlet type. The lower coefficients of the considered degenerate elliptic operators are assumed to belong to suitable weighted \(L_p\)-spaces.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35J99
zbMATH DE Number: 5791038
zbMATH Keywords: degenerate elliptic operator
zbMATH Keywords: Gårding's inequality
zbMATH Keywords: variational Dirichlet problem
zbMATH Keywords: elliptic operator
zbMATH Keywords: Euclidean space \(\mathbb R^{n}\)
zbMATH Keywords: Minkowski's inequality
zbMATH Keywords: Cauchy-Schwarz inequality
MaRDI profile type: Publication
cites work: Q4891166
cites work: Smoothness of the generalized solution of an elliptic equation with nonpower degeneracy
cites work: Q3260749
cites work: Q4380362
cites work: Q5332803
full work available at URL: s0001434610010268
OpenAlex ID: W2015207683
description: scientific article; zbMATH DE number 5791038