Geodesic
Existence of multiple solutions to elliptic problems of Kirchhoff type with critical exponential growth
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we study elliptic problems of Kirchhoff type in dimension $ N \geq 2$, whose nonlinear term has a critical exponential growth. Using variational tools, we establish the existence of at least two nontrivial and nonnegative solutions.
Classification : 35D30, 35J20, 35J61, 58E05
Keywords: Trudinger-Moser inequality, exponential growth, Kirchhoff equation, critical point, energy functional, Ekeland's lemma, mountain pass theorem 
@article{EJDE_2014__2014__a60,
     author = {Aouaoui, Sami},
     title = {Existence of multiple solutions to elliptic problems of {Kirchhoff} type with critical exponential growth},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a60/}
}
TY  - JOUR
AU  - Aouaoui, Sami
TI  - Existence of multiple solutions to elliptic problems of Kirchhoff type with critical exponential growth
JO  - Electronic Journal of Differential Equations
PY  - 2014
VL  - 2014
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a60/
LA  - en
ID  - EJDE_2014__2014__a60
ER  - 
%0 Journal Article
%A Aouaoui, Sami
%T Existence of multiple solutions to elliptic problems of Kirchhoff type with critical exponential growth
%J Electronic Journal of Differential Equations
%D 2014
%V 2014
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a60/
%G en
%F EJDE_2014__2014__a60
Aouaoui, Sami. Existence of multiple solutions to elliptic problems of Kirchhoff type with critical exponential growth. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a60/