Affiliation:
1. 1Dipartimento di Matematica, Università degli Studi di Bari “Aldo Moro”, Via E. Orabona 4, 70125 Bari, Italy
Abstract
AbstractWe study the nonlinear elliptic system of Lane–Emden type
-Δu = sgn(v) |v|p-1 in Ω,
-Δv = f(x,u) in Ω, u = v = 0 on ∂Ω,
where Ω is an open bounded subset of ℝN, N ≥ 2, p > 1 and
f : Ω × ℝ → ℝ is a Carathéodory function satisfying suitable growth assumptions. Existence and multiplicity results are proved by means of a generalized Weierstrass Theorem and a variant of the Symmetric Mountain Pass Theorem.
Cited by
10 articles.
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