| Title:
|
The Picone identity for a class of partial differential equations (English) |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
4 |
| Year:
|
2002 |
| Pages:
|
581-589 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Picone-type identity for the half-linear second order partial differential equation \[ \sum _{i=1}^n\frac{\partial }{\partial x_i} \Phi \bigg (\frac{\partial u}{\partial x_i}\bigg )+c(x)\Phi (u)=0,\quad \Phi (u):=|u|^{p-2}u,\ p>1, \] is established and some applications of this identity are suggested. (English) |
| Keyword:
|
Picone’s identity |
| Keyword:
|
half-linear PDE |
| Keyword:
|
$p$-Laplacian |
| Keyword:
|
variational technique |
| MSC:
|
35J20 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 1074.35521 |
| idMR:
|
MR1942643 |
| DOI:
|
10.21136/MB.2002.133959 |
| . |
| Date available:
|
2009-09-24T22:05:23Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133959 |
| . |
| Reference:
|
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