| Title:
|
A weak comparison principle for some quasilinear elliptic operators: it compares functions belonging to different spaces (English) |
| Author:
|
Unai, Akihito |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
63 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
483-498 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We shall prove a weak comparison principle for quasilinear elliptic operators $-{\rm div}(a(x,\nabla u))$ that includes the negative $p$-Laplace operator, where $a\colon \Omega \times \Bbb R^N \rightarrow \Bbb R^N$ satisfies certain conditions frequently seen in the research of quasilinear elliptic operators. In our result, it is characteristic that functions which are compared belong to different spaces. (English) |
| Keyword:
|
weak comparison principle |
| Keyword:
|
quasilinear elliptic operator |
| Keyword:
|
$p$-Laplace operator |
| MSC:
|
35B51 |
| MSC:
|
35J25 |
| MSC:
|
35J62 |
| MSC:
|
35J92 |
| idZBL:
|
Zbl 06945743 |
| idMR:
|
MR3842964 |
| DOI:
|
10.21136/AM.2018.0126-18 |
| . |
| Date available:
|
2018-07-30T11:31:29Z |
| Last updated:
|
2020-09-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147322 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
