Geodesic
Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems
Electronic journal of differential equations, Tome 2010 (2010)
We prove existence results for positive bounded continuous solutions of a nonlinear polyharmonic system by using a potential theory approach and properties of a large functional class $K_{m,n}$ called Kato class.
Classification : 34B27, 35J40
Keywords: Green function, Kato class, positive bounded solution, shauder fixed point theorem, polyharmonic elliptic system 
@article{EJDE_2010__2010__a134,
     author = {Gontara,  Sabrine and El Abidine,  Zagharide Zine},
     title = {Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1198.35079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a134/}
}
TY  - JOUR
AU  - Gontara,  Sabrine
AU  - El Abidine,  Zagharide Zine
TI  - Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems
JO  - Electronic journal of differential equations
PY  - 2010
VL  - 2010
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a134/
LA  - en
ID  - EJDE_2010__2010__a134
ER  - 
%0 Journal Article
%A Gontara,  Sabrine
%A El Abidine,  Zagharide Zine
%T Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a134/
%G en
%F EJDE_2010__2010__a134
Gontara,  Sabrine; El Abidine,  Zagharide Zine. Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a134/