Existence for an elliptic system with nonlinear boundary conditions - doi: 10.5269/bspm.v28i2.11313
DOI :
https://doi.org/10.5269/bspm.v28i2.11313Mots-clés :
Steklov problems, weights, elliptic systems, nonlinear boundary conditions.Résumé
In this paper we prove the existence of a weak solution to the following system
Delta_p u = Delta_q v = 0 in Omega
|nabla u|^{p-2}partial_{nu}u = f(x,u) - (alpha+1)K(x) |u|^{alpha-1}u |v|^{beta+1} + f_1 on partial Omega
|nabla v|^{q-2}partial_{nu}v = g(x,u) - (beta+1)K(x) |v|^{beta-1}v |u|^{alpha+1}+ g_1 on partial Omega
where Omega is a bounded domain in R^N (N ≥ 2), f_1, g_1, f, g and K are functions that satisfy some conditions.
Téléchargements
Numéro
Rubrique
Research Articles
Licence
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
