Existence results for Quasilinear Degenerated Equations in unbounded domains

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 4, Issue 3

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').

Authors and Affiliations

Chiraz Kouraichi

Keywords

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  • EP ID EP651223
  • DOI 10.24297/jam.v4i3.3701
  • Views 184
  • Downloads 0

How To Cite

Chiraz Kouraichi (2013). Existence results for Quasilinear Degenerated Equations in unbounded domains. JOURNAL OF ADVANCES IN MATHEMATICS, 4(3), 504-508. https://europub.co.uk/articles/-A-651223