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Existence of Renormalized Solutions for Some Anisotropic Quasilinear Elliptic Equations

Existence of Renormalized Solutions for Some Anisotropic Quasilinear Elliptic Equations

In this paper, we consider a class of anisotropic quasilinear elliptic equations of the type ( | ∑N { − ∂ia (x, u, ∇u ) + |u|s(x )− 1u = f (x,u ), in Ω, i |( i=1 u = 0 on ∂ Ω, where f(x,s) is a Carathéodory function …