| Title:
|
Regularity results for a class of obstacle problems (English) |
| Author:
|
Eleuteri, Michela |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
137-170 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove some optimal regularity results for minimizers of the integral functional $\int f(x,u,Du)\mathrm{d}x$ belonging to the class $ K:=\lbrace u \in W^{1,p}(\Omega )\: u\ge \psi \rbrace $, where $\psi $ is a fixed function, under standard growth conditions of $p$-type, i.e. \[ L^{-1}|z|^p \le f(x,s,z) \le L(1+|z|^p). \] (English) |
| Keyword:
|
regularity results |
| Keyword:
|
local minimizers |
| Keyword:
|
integral functionals |
| Keyword:
|
obstacle problems |
| Keyword:
|
standard growth conditions |
| MSC:
|
35J85 |
| MSC:
|
49J40 |
| MSC:
|
49N60 |
| idZBL:
|
Zbl 1164.49009 |
| idMR:
|
MR2305870 |
| DOI:
|
10.1007/s10492-007-0007-4 |
| . |
| Date available:
|
2009-09-22T18:28:57Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134668 |
| . |
| Reference:
|
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| Reference:
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| . |
