| Abstrakt: |
In this paper, we study the existence of multiple solutions for the singular problem { a (x , u , ∇ u) - div (b (x , u , ∇ u)) = u - α + λ c (x , u) in Ω , u > 0 in Ω , u = 0 on ℝ n ∖ Ω , where Ω ⊂ ℝ n (n ≥ 3) is a bounded domain with C 1 boundary, λ is a positive parameter, 0 < α ≤ 1 < p ≤ n and p * = n p n - p is the critical exponent for Sobolev embedding. Using the fibering maps and the Nehari manifold, we prove the existence of at least two positive solutions for all values of the parameter λ belonging to an open bounded interval of ℝ + . [ABSTRACT FROM AUTHOR] |
