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Title: On $L^p$-estimates for solutions of elliptic boundary value problems (English)
Author: Krbec, Miroslav
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 17
Issue: 2
Year: 1976
Pages: 363-375
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Category: math
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MSC: 35D10
MSC: 35J40
idZBL: Zbl 0326.35027
idMR: MR0417569
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Date available: 2008-06-05T20:51:24Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/105701
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Reference: [1] S. AGMON A. DOUGLIS L. NIRENBERG: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I.Comm. Pure Appl. Math. 12 (1959), 623-727. MR 0125307
Reference: [2] J. L. LIONS E. MAGENES: Problèmes aux limites non homogènes et applications.Dunod, Paris, 1968.
Reference: [3] N. G. MEYERS: An $L^p$-estimate for the gradient of solutions of second order elliptic divergence equations..Ann. Scuola Nom. Sup. Pisa 17 (1963), 189-206. MR 0159110
Reference: [4] J. NEČAS: Les méthodes directes en théorie des équations elliptiques.Academia, Prague, 1967. MR 0227584
Reference: [5] J. NEČAS: Sur la régularité des solutions variationnelles des équations elliptiques non-linéaires d'ordre $2k$ en deux dimensions.Ann. Scuola Norm. Sup. Pisa 21 (1967), 427-457. Zbl 0171.09401, MR 0226467
Reference: [6] M. SCHECHTER: Coerciveness in $L^p$.Trans. Amer. Math. Soc. 107 (1963), 10-29. MR 0146690
Reference: [7] L. N. SLOBODĚCKIJ: Estimates in $L^p$ of solutions of elliptic systems.(Russian), Dokl. Akad. Nauk SSSR 123 (1958), 616-619. MR 0106327
Reference: [8] A. ZYGMUND: Trigonometrical series.Cambridge, 1959.
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