| Title:
|
Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis (English) |
| Author:
|
Ragusa, Maria Alessandra |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
651-663 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class $H^{1,p}_0(\Omega)$ for all $1<p<\infty$ and, as a consequence, the Hölder regularity of the solution $u$. $\Cal L$ is an elliptic second order operator with discontinuous coefficients $(VMO)$ and the lower order terms belong to suitable Lebesgue spaces. (English) |
| Keyword:
|
elliptic equations |
| Keyword:
|
Morrey spaces |
| MSC:
|
35B65 |
| MSC:
|
35J15 |
| MSC:
|
35J30 |
| MSC:
|
35R05 |
| MSC:
|
45P05 |
| MSC:
|
46E35 |
| MSC:
|
46N20 |
| idZBL:
|
Zbl 1010.46032 |
| idMR:
|
MR1756544 |
| . |
| Date available:
|
2009-01-08T18:56:23Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119121 |
| . |
| Reference:
|
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| . |
