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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/38219
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