A -Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain
Dimitrios A. Kandilakis; Manolis Magiropoulos
Commentationes Mathematicae Universitatis Carolinae (2007)
- Volume: 48, Issue: 1, page 59-68
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topKandilakis, Dimitrios A., and Magiropoulos, Manolis. "A $p$-Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain." Commentationes Mathematicae Universitatis Carolinae 48.1 (2007): 59-68. <http://eudml.org/doc/250196>.
@article{Kandilakis2007,
abstract = {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.},
author = {Kandilakis, Dimitrios A., Magiropoulos, Manolis},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasilinear problem; $p$-Laplacian system; Landesman-Laser condition; resonance; quasilinear problem; -Laplacian system; Landesman-Laser condition; resonance},
language = {eng},
number = {1},
pages = {59-68},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A $p$-Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain},
url = {http://eudml.org/doc/250196},
volume = {48},
year = {2007},
}
TY - JOUR
AU - Kandilakis, Dimitrios A.
AU - Magiropoulos, Manolis
TI - A $p$-Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 1
SP - 59
EP - 68
AB - 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.
LA - eng
KW - quasilinear problem; $p$-Laplacian system; Landesman-Laser condition; resonance; quasilinear problem; -Laplacian system; Landesman-Laser condition; resonance
UR - http://eudml.org/doc/250196
ER -
References
top- Arcoya D., Orsina L., Landesman-Laser conditions and quasilinear elliptic equations, Nonlinear Anal. 28 (1997), 1623-1632. (1997) MR1430505
- Drábek P., Hernández J., Existence and uniqueness of positive solutions for some quasilinear elliptic problems, Nonlinear Anal. 44 (2001), 189-204. (2001) Zbl0991.35035MR1816658
- De Figueiredo D.G., The Ekeland Variational Principle with Applications and Detours, Springer, Berlin, 1989. Zbl0688.49011
- 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. (2005) Zbl1109.35082MR2202219
- Pflüger K., Existence and multiplicity of solutions to a -Laplacian equation with nonlinear boundary condition, Electron. J. Differential Equations 10 (1998), 1-13. (1998) MR1615337
- Rabinowitz P., Minimax Methods in Critical Point Theory with Applications to Differential Equations, Amer. Math. Soc., Providence, Rhode Island, 1986. Zbl0609.58002MR0845785
- Zographopoulos N., -Laplacian systems on resonance, Appl. Anal. 83 5 (2004), 509-519. (2004) Zbl1096.35052MR2054643
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.