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__a234,
     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__a234/}
}
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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__a234/