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Research ArticleOpen accessEvery word in the titleElliptic Weighted Problem with Indefinite Asymptotically Linear NonlinearityHanadi Zahed, Laila A. AlnaserThe objective of this paper is the study the following nonlinear elliptic problem involving a weight function: -div(a(x)∇υ) = f(x, u) in Ω and u = 0 on ∂Ω (P) where, Ω is a regular bounded subset and ℝN ≥ 2, a(x) is a nonnegative function and f(x, t) is allowed to be sign-changing. We employ variational techniques to prove … …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 8 Feb 2021 · 7,112 accessesView PDF Cite

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