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Albo Carlos Cavalheiro

Abstract

In this work we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations

Δ(v(x)|Δu|r2Δu)j=1nDj[w1(x)𝒜j(x,u,u)]+b(x,u,u)w2(x)=f0(x)j=1nDjfj(x),inΩ
in the setting of the Weighted Sobolev Spaces.

Open access

Albo Carlos Cavalheiro

Abstract

The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.