| Title:
|
Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms (English) |
| Author:
|
Bonafede, Salvatore |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
45-64 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove the local Hölder continuity of bounded generalized solutions of the Dirichlet problem associated to the equation $\sum_{i =1}^{m} \frac{\partial}{\partial x_i} a_i (x, u, \nabla u) - c_0 |u|^{p-2} u = f(x, u, \nabla u),$ assuming that the principal part of the equation satisfies the following degenerate ellipticity condition $\lambda (|u|) \sum_{i=1}^m a_i (x,u, \eta) \eta_i \geq \nu(x) |\eta|^p,$ and the lower-order term $f$ has a natural growth with respect to $\nabla u$. (English) |
| Keyword:
|
elliptic equations |
| Keyword:
|
weight function |
| Keyword:
|
regularity of solutions |
| MSC:
|
35B65 |
| MSC:
|
35J15 |
| MSC:
|
35J70 |
| idZBL:
|
Zbl 06890396 |
| idMR:
|
MR3783808 |
| DOI:
|
10.14712/1213-7243.2015.242 |
| . |
| Date available:
|
2018-04-17T13:45:05Z |
| Last updated:
|
2020-04-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147178 |
| . |
| Reference:
|
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