On the solvability of nonlinear elliptic equations in Sobolev spaces
Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 149-156.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the existence of solutions of the system (*) $P(D)u^l = F(x,(∂^α u))$, l = 1,...,k, $x ∈ ℝ^n$ $(u=(u¹,...,u^k))$ in Sobolev spaces, where P is a positive elliptic polynomial and F is nonlinear.
DOI : 10.4064/ap-56-2-149-156

Piotr Fijałkowski 1

1
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Piotr Fijałkowski. On the solvability of nonlinear elliptic equations in Sobolev spaces. Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 149-156. doi : 10.4064/ap-56-2-149-156. http://geodesic.mathdoc.fr/articles/10.4064/ap-56-2-149-156/

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