| Title:
|
Existence of solutions for Navier problems with degenerate nonlinear elliptic equations (English) |
| Author:
|
Cavalheiro, Albo Carlos |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
23 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
33-45 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations \begin {equation*} \Delta (v(x)\,\vert \Delta u\vert ^{q-2}\Delta u) -\sum _{j=1}^n D_j\bigl [\omega (x) {\cal A}_j(x, u, {\nabla }u)\bigr ] = f_0(x) - \sum _{j=1}^nD_jf_j(x), \text { in }\Omega \end {equation*} in the setting of the weighted Sobolev spaces. (English) |
| Keyword:
|
degenerate nolinear elliptic equations |
| Keyword:
|
weighted Sobolev spaces |
| Keyword:
|
Navier problem |
| MSC:
|
35J60 |
| MSC:
|
35J70 |
| idZBL:
|
Zbl 1353.35167 |
| idMR:
|
MR3394076 |
| . |
| Date available:
|
2015-08-25T13:57:32Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144357 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| . |
