| Title:
|
A $p$-Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain (English) |
| Author:
|
Kandilakis, D. A. |
| Author:
|
Magiropoulos, M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
59-68 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study a nonlinear elliptic system with resonance part and nonlinear boundary conditions on an unbounded domain. Our approach is variational and is based on the well known Landesman-Laser type conditions. (English) |
| Keyword:
|
quasilinear problem |
| Keyword:
|
$p$-Laplacian system |
| Keyword:
|
Landesman-Laser condition |
| Keyword:
|
resonance |
| MSC:
|
35D05 |
| MSC:
|
35D99 |
| MSC:
|
35J45 |
| MSC:
|
35J50 |
| MSC:
|
35J55 |
| MSC:
|
35J65 |
| MSC:
|
35J66 |
| MSC:
|
35J92 |
| MSC:
|
47J30 |
| idZBL:
|
Zbl 1199.35117 |
| idMR:
|
MR2338829 |
| . |
| Date available:
|
2009-05-05T17:01:17Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119638 |
| . |
| Reference:
|
[1] Arcoya D., Orsina L.: Landesman-Laser conditions and quasilinear elliptic equations.Nonlinear Anal. 28 (1997), 1623-1632. MR 1430505 |
| Reference:
|
[2] Drábek P., Hernández J.: Existence and uniqueness of positive solutions for some quasilinear elliptic problems.Nonlinear Anal. 44 (2001), 189-204. Zbl 0991.35035, MR 1816658 |
| Reference:
|
[3] De Figueiredo D.G.: The Ekeland Variational Principle with Applications and Detours.Springer, Berlin, 1989. Zbl 0688.49011 |
| Reference:
|
[4] Kandilakis D.A., Magiropoulos M., Zographopoulos N.B.: The first eigenvalue of p-Laplacian systems with nonlinear boundary conditions.Bound. Value Probl. 3 (2005), 307-321. Zbl 1109.35082, MR 2202219 |
| Reference:
|
[5] Pflüger K.: Existence and multiplicity of solutions to a $p$-Laplacian equation with nonlinear boundary condition.Electron. J. Differential Equations 10 (1998), 1-13. MR 1615337 |
| Reference:
|
[6] Rabinowitz P.: Minimax Methods in Critical Point Theory with Applications to Differential Equations.Amer. Math. Soc., Providence, Rhode Island, 1986. Zbl 0609.58002, MR 0845785 |
| Reference:
|
[7] Zographopoulos N.: $p$-Laplacian systems on resonance.Appl. Anal. 83 5 (2004), 509-519. Zbl 1096.35052, MR 2054643 |
| . |
