Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations

• Autorzy: Cavalheiro, A. C.
• Języki publikacji: EN

Abstrakty

EN

In this paper we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated to the degenerate nonlinear elliptic equations − ∑ⁿ_j=1Dj[v₂(x)A_j(x,u,∇u)]+∑ⁿ_j=1b_j(x)v₁(x)D_ju(x)+αg(x)v3(x)u(x)=f₀(x)− ∑ⁿ_j=1=₁D_jf_j(x) on Ω in the setting of the weighted Sobolev spaces W^1,2₀(Ω,v₁,v₂).

Słowa kluczowe

PL

zdegenerowane quasi-liniowe równanie eliptyczne; wagowa przestrzeń Sobolewa

EN

degenerate quasilinear elliptic equations; weighted Sobolev spaces

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2014
• Tom: Vol. 20, nr 2
• Strony: 145--154
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Cavalheiro, A. C.

• Department of Mathematics, State University of Londrina, Londrina - PR - Brazil, 86057-970,

Bibliografia

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Identyfikatory

DOI

10.1515/jaa-2014-0016