| 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 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
119 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
255-274 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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 |
| DOI:
|
10.21136/MB.1994.126167 |
| . |
| Date available:
|
2009-09-24T21:05:51Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126167 |
| . |
| 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 |
| . |
