| Title:
|
Bifurcations for a problem with jumping nonlinearities (English) |
| Author:
|
Kárná, Lucie |
| Author:
|
Kučera, Milan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
481-496 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A bifurcation problem for the equation \[ \Delta u+\lambda u-\alpha u^++\beta u^-+g(\lambda ,u)=0 \] in a bounded domain in $^N$ with mixed boundary conditions, given nonnegative functions $\alpha ,\beta \in L_\infty $ and a small perturbation $g$ is considered. The existence of a global bifurcation between two given simple eigenvalues $\lambda ^{(1)},\lambda ^{(2)}$ of the Laplacian is proved under some assumptions about the supports of the functions $\alpha ,\beta $. These assumptions are given by the character of the eigenfunctions of the Laplacian corresponding to $\lambda ^{(1)}, \lambda ^{(2)}$. (English) |
| Keyword:
|
nonlinearizable elliptic equations |
| Keyword:
|
jumping nonlinearities |
| Keyword:
|
global bifurcation |
| Keyword:
|
half-eigenvalue |
| MSC:
|
35B32 |
| MSC:
|
35J25 |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| idZBL:
|
Zbl 1074.35510 |
| idMR:
|
MR1931332 |
| DOI:
|
10.21136/MB.2002.134065 |
| . |
| Date available:
|
2009-09-24T22:04:04Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134065 |
| . |
| Reference:
|
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| Reference:
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| . |
