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Title: Solvability of degenerate elliptic boundary value problems: another approach (English)
Author: Kufner, Alois
Author: Leonardi, Salvatore
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959
Volume: 119
Issue: 3
Year: 1994
Pages: 255-274
Summary lang: English
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Category: math
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Summary: Using a Hardy-type inequality, the authors weaken certain assumptions from the paper [1] and derive existence results for equations with a stronger degeneration. (English)
Keyword: weighted Sobolev spaces
Keyword: Hardy type inequality
Keyword: degenerate elliptic equations
Keyword: Hardy inequality
Keyword: weak solutions
MSC: 35D05
MSC: 35J65
MSC: 35J70
idZBL: Zbl 0816.35039
idMR: MR1305529
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Date available: 2009-09-24T21:05:51Z
Last updated: 2015-09-04
Stable URL: http://hdl.handle.net/10338.dmlcz/126167
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Reference: [1] P. Drábek A. Kufner F. Nicolosi: On the solvability of degenerated quasilinear elliptic equations of higher order.Journal of Differential Equations 109 (1994), 325-347. MR 1273306, 10.1006/jdeq.1994.1053
Reference: [2] F. Guglielmino F. Nicolosi: Teoremi di esistenza per i problemi ai contorno relativi alle equazioni ellitiche quasilineari.Ricerche di Matematica 37 (1988), fasc. 1, 157-176.
Reference: [3] P. Drábek F. Nicolosi: Existence of bounded solutions for some degenerated quasilinear elliptic equations.Annali Mat. Pura Applicata, Ser. IV 165 (1993), 217-238. MR 1271420, 10.1007/BF01765850
Reference: [4] R.A. Adams: Sobolev spaces.Academic Press, New York, 1975. Zbl 0314.46030, MR 0450957
Reference: [5] A. Kufner O. John S. Fučík: Function spaces.Noordhoff International Publishing, Leyden, 1977. MR 0482102
Reference: [6] B. Opic A. Kufner: Hardy-type inequalities.Pitman Research Notes in Mathematics Series, 219. Longman Scientific and Technical, Harlow, 1990. MR 1069756
Reference: [7] A. Kufner: Weighted Sobolev spaces.J. Wiley and Sons, Chichester-New York-Brisbane-Toronto-Singapore, 1985. Zbl 0579.35021, MR 0802206
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