Existence of weak solutions for some quasilinear degenerated elliptic systems in weighted Sobolev spaces

نویسندگان

چکیده

We consider, for a bounded open domain Ω in Rn; (n ≥ 1) and function u : → ℝm; (m the quasilinear elliptic system: (QESw)(f,g) (0.1) Which is Dirichlet problem. Here, v belongs to dual space , f g satisfy some stan- dard continuity growth conditions. we will show existence of weak solution this problem four following cases: σ mono- tonic, strictly monotonic, quasi montone derives from convex potential.

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ژورنال

عنوان ژورنال: Proyecciones

سال: 2022

ISSN: ['0716-0917', '0717-6279']

DOI: https://doi.org/10.22199/issn.0717-6279-5336