Solvability of degenerate elliptic boundary value problems: another approach

Alois Kufner; Salvatore Leonardi

Mathematica Bohemica (1994)

  • Volume: 119, Issue: 3, page 255-274
  • ISSN: 0862-7959

Abstract

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Using a Hardy-type inequality, the authors weaken certain assumptions from the paper [1] and derive existence results for equations with a stronger degeneration.

How to cite

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Kufner, Alois, and Leonardi, Salvatore. "Solvability of degenerate elliptic boundary value problems: another approach." Mathematica Bohemica 119.3 (1994): 255-274. <http://eudml.org/doc/29321>.

@article{Kufner1994,
abstract = {Using a Hardy-type inequality, the authors weaken certain assumptions from the paper [1] and derive existence results for equations with a stronger degeneration.},
author = {Kufner, Alois, Leonardi, Salvatore},
journal = {Mathematica Bohemica},
keywords = {weighted Sobolev spaces; Hardy type inequality; degenerate elliptic equations; Hardy inequality; weak solutions; weighted Sobolev spaces; Hardy type inequality},
language = {eng},
number = {3},
pages = {255-274},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solvability of degenerate elliptic boundary value problems: another approach},
url = {http://eudml.org/doc/29321},
volume = {119},
year = {1994},
}

TY - JOUR
AU - Kufner, Alois
AU - Leonardi, Salvatore
TI - Solvability of degenerate elliptic boundary value problems: another approach
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 3
SP - 255
EP - 274
AB - Using a Hardy-type inequality, the authors weaken certain assumptions from the paper [1] and derive existence results for equations with a stronger degeneration.
LA - eng
KW - weighted Sobolev spaces; Hardy type inequality; degenerate elliptic equations; Hardy inequality; weak solutions; weighted Sobolev spaces; Hardy type inequality
UR - http://eudml.org/doc/29321
ER -

References

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  1. P. Drábek A. Kufner F. Nicolosi, 10.1006/jdeq.1994.1053, Journal of Differential Equations 109 (1994), 325-347. (1994) MR1273306DOI10.1006/jdeq.1994.1053
  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. (1988) 
  3. P. Drábek F. Nicolosi, 10.1007/BF01765850, Annali Mat. Pura Applicata, Ser. IV 165 (1993), 217-238. (1993) MR1271420DOI10.1007/BF01765850
  4. R.A. Adams, Sobolev spaces, Academic Press, New York, 1975. (1975) Zbl0314.46030MR0450957
  5. A. Kufner O. John S. Fučík, Function spaces, Noordhoff International Publishing, Leyden, 1977. (1977) MR0482102
  6. B. Opic A. Kufner, Hardy-type inequalities, Pitman Research Notes in Mathematics Series, 219. Longman Scientific and Technical, Harlow, 1990. (1990) MR1069756
  7. A. Kufner, Weighted Sobolev spaces, J. Wiley and Sons, Chichester-New York-Brisbane-Toronto-Singapore, 1985. (1985) Zbl0579.35021MR0802206

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