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Existence and uniqueness of the solutions of some degenerate nonlinear elliptic equations

Cavalheiro A. C

Opuscula Mathematica

2014

Vol. 34, no. 1

15--28

In this paper we are interested in the existence of solutions for the Dirichlet problem associated with degenerate nonlinear elliptic equations [formula] in the setting of the weighted Sobolev spaces [formula].

Existence and uniqueness of solutions for some degenerate nonlinear Dirichlet problems

Cavalheiro A. C

Journal of Applied Analysis

2013

Vol. 19, nr 1

41--54

In this work we are interested in the existence of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations -∑ni,j=1Dj(αij(x)Diu(x))+b(x)u(x)+div(Φ(u(x)))=g(x)-∑nj=1fj(x) on Ω in the setting of the weighted Sobolev spaces W1,p0(Ω, ω).