Existence results for Quasilinear Degenerated Equations in unbounded domains

DOI:

https://doi.org/10.24297/jam.v4i3.3701

Keywords:

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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Published

2013-12-03

How to Cite

Existence results for Quasilinear Degenerated Equations in unbounded domains. (2013). JOURNAL OF ADVANCES IN MATHEMATICS, 4(3), 504–508. https://doi.org/10.24297/jam.v4i3.3701

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