@article {10.3844/jmssp.2020.125.132,
article_type = {journal},
title = {Positive Solutions for Some Weighted Elliptic Problems},
author = {Zahed, Hanadi},
volume = {16},
year = {2020},
month = {Jul},
pages = {125-132},
doi = {10.3844/jmssp.2020.125.132},
url = {https://thescipub.com/abstract/jmssp.2020.125.132},
abstract = {In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems: 	(P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on   and f(x, s) is asymptotically linear in s at infinity, that is  = ℓ < ∞. We will prove that the problem (P) has a positive solution for ℓ large enough and does not have positive solutions for ℓ less than the first eigenvalue of the operator. We prove also that the method works for the case when f(x, s) is sub-critical and super-linear at +∞.2010 Mathematics Subject classification: 35J05, 35J65, 35J20, 35J60, 35K57, 35J70.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}