We study the nonlinear elliptic system of Lane-Emden type (Equation Presented) 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.
Existence and Multiplicity Results for some Lane-Emden Elliptic Systems: subquadratic case
BARILE, SARA;SALVATORE, Addolorata
2015-01-01
Abstract
We study the nonlinear elliptic system of Lane-Emden type (Equation Presented) 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.File in questo prodotto:
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