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Existence results for degenerate quasilinear elliptic equations in weighted Sobolev spaces. (English) Zbl 1189.35123

Summary: We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations

-div[v(x)𝒜(x,u,u)]+ω(x)𝒜 0 (x,u(x))=f 0 - j=1 n D j f j ,onΩ

in the setting of the weighted Sobolev spaces W 0 1,p (Ω,ω,v).

[Cf. also the editorial remark to a very similar paper in Matematiche 63, No. 2, 101–112 (2008; Zbl 1189.35124)].


MSC:
35J70Degenerate elliptic equations
35J62Quasilinear elliptic equations
35D30Weak solutions of PDE