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Matematicheskie Zametki, 2010, Volume 87, Issue 2, Pages 201–216
DOI: https://doi.org/10.4213/mzm8588 (Mi mzm8588) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Gårding's Inequality for Elliptic Operators with Degeneracy

S. A. Iskhokov

Institute of Mathematics, Academy of Sciences Republic of Tajikistan
Full-text PDF (509 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm8588
Abstract: In this paper, we prove Gårding's weighted inequality for degenerate elliptic operators in an arbitrary (bounded or unbounded) domain of $n$-dimensional Euclidean space $\mathbb R^n$ and use this inequality to study the unique solvability of a specific variational problem. It is assumed that the lower coefficients of the operators under consideration belong to some weighted $L_p$-spaces.
Keywords: degenerate elliptic operator, Gårding's inequality, variational Dirichlet problem, elliptic operator, Euclidean space $\mathbb R^n$, Minkowski's inequality, Cauchy–Schwarz inequality.
Received: 22.09.2008
English version:
Mathematical Notes, 2010, Volume 87, Issue 2, Pages 189–203
DOI: https://doi.org/10.1134/S0001434610010268
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: S. A. Iskhokov, “Gårding's Inequality for Elliptic Operators with Degeneracy”, Mat. Zametki, 87:2 (2010), 201–216; Math. Notes, 87:2 (2010), 189–203
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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