Existence results for Quasilinear Degenerated Equations in unbounded domains
DOI:
https://doi.org/10.24297/jam.v4i3.3701Keywords:
Unbounded domains, Quasilinear degenerated elliptic operators, Weighted sobolev space.Abstract
In this paper, we study the existence of solutions for quasilinear degenerated elliptic operators Au + g(x,u, Vu) = f, in unbounded domains O, where A is a Lerray-Lions operator from the Weighted Sobolev space W0 1,p(O,w) to its dual, while g(x; s,E ) is a nonlinear term which has a growth condition with respect to E and no growth with respect to s, but it satisfies a sign condition on s, and f € W-1,p' (O,w').
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