Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case

Autor: Barile Sara, Salvatore Addolorata
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Advances in Nonlinear Analysis, Vol 4, Iss 1, Pp 25-35 (2015)
Druh dokumentu: article
ISSN: 2191-9496
2191-950X
DOI: 10.1515/anona-2014-0049
Popis: We 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.
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