Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case
Autor: | Barile Sara, Salvatore Addolorata |
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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. |
Databáze: | Directory of Open Access Journals |
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