| Title:
|
Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points (English) |
| Author:
|
Malý, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
23-42 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $u$ be a weak solution of a quasilinear elliptic equation of the growth $p$ with a measure right hand term $\mu$. We estimate $u(z)$ at an interior point $z$ of the domain $\Omega$, or an irregular boundary point $z\in \partial\Omega$, in terms of a norm of $u$, a nonlinear potential of $\mu$ and the Wiener integral of $\bold R^n\setminus \Omega$. This quantifies the result on necessity of the Wiener criterion. (English) |
| Keyword:
|
elliptic equations |
| Keyword:
|
Wiener criterion |
| Keyword:
|
nonlinear potentials |
| Keyword:
|
measure data |
| MSC:
|
35B45 |
| MSC:
|
35D05 |
| MSC:
|
35J65 |
| MSC:
|
35J67 |
| MSC:
|
35J70 |
| MSC:
|
35R05 |
| idZBL:
|
Zbl 0851.35047 |
| idMR:
|
MR1396160 |
| . |
| Date available:
|
2009-01-08T18:22:05Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118812 |
| . |
| Reference:
|
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