On the solvability of nonlinear elliptic equations in Sobolev spaces
Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 149-156
Cet article a éte moissonné depuis 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.
@article{10_4064_ap_56_2_149_156,
author = {Piotr Fija{\l}kowski},
title = {On the solvability of nonlinear elliptic equations in {Sobolev} spaces},
journal = {Annales Polonici Mathematici},
pages = {149--156},
year = {1991},
volume = {56},
number = {2},
doi = {10.4064/ap-56-2-149-156},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-56-2-149-156/}
}
TY - JOUR AU - Piotr Fijałkowski TI - On the solvability of nonlinear elliptic equations in Sobolev spaces JO - Annales Polonici Mathematici PY - 1991 SP - 149 EP - 156 VL - 56 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-56-2-149-156/ DO - 10.4064/ap-56-2-149-156 LA - en ID - 10_4064_ap_56_2_149_156 ER -
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
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