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Matematicheskie Zametki, 2001, Volume 70, Issue 3, Pages 375–385
DOI: https://doi.org/10.4213/mzm750 (Mi mzm750) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Integrability of Solutions of Nonlinear Elliptic Equations with Right-Hand Sides from Classes Close to $L^1$

A. A. Kovalevsky

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
Full-text PDF (217 kB) Citations (17)
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DOI: https://doi.org/10.4213/mzm750
Abstract: We establish a number of results on the integrability of the entropy and the weak solutions of the Dirichlet problem for nonlinear elliptic equations of second order depending on the integrability properties of the right-hand sides of these equations.
Received: 26.09.2000
English version:
Mathematical Notes, 2001, Volume 70, Issue 3, Pages 337–346
DOI: https://doi.org/10.1023/A:1012343728148
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. A. Kovalevsky, “Integrability of Solutions of Nonlinear Elliptic Equations with Right-Hand Sides from Classes Close to $L^1$”, Mat. Zametki, 70:3 (2001), 375–385; Math. Notes, 70:3 (2001), 337–346
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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