Geodesic
Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems
Electronic Journal of Differential Equations, Tome 2010 (2010).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     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/