Abstract
UDC 517.9 We study the existence of a weak (strong) solution of the nonlinear elliptic problem - Δ u - λ u g 1 + h ( u ) g 2 = f in V ∖ V 0 , u = 0 on V 0 , where V is a Sierpi\'nski gasket in ℝ N - 1 , N ≥ 2 , V 0 is its boundary (consisting of N its corners), and λ is a real parameter. Here, f , g 1 , g 2 : V → ℝ and h : ℝ → ℝ are functions satisfying suitable hypotheses.
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