Multiplicity results are proved for the nonlinear elliptic system in a bounded domain in R^n with smooth boundary and a nonlinear nonlinear C^1-function g which satisfies additional conditions. No assumption of symmetry on g is imposed. Extensive use is made of a global version of the Lyapunov–Schmidt reduction method due to Castro and Lazer and of symmetric versions of the Mountain Pass Theorem.
On a nonlinear elliptic system with symmetric coupling / O. Agudelo, B. Ruf, C. Vélez. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 75:11(2012 Jul), pp. 4315-4324.
On a nonlinear elliptic system with symmetric coupling
B. RufSecondo
;
2012
Abstract
Multiplicity results are proved for the nonlinear elliptic system in a bounded domain in R^n with smooth boundary and a nonlinear nonlinear C^1-function g which satisfies additional conditions. No assumption of symmetry on g is imposed. Extensive use is made of a global version of the Lyapunov–Schmidt reduction method due to Castro and Lazer and of symmetric versions of the Mountain Pass Theorem.
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