Perturbation of Symmetry and Multiplicity of Solutions For Strongly Indefinite Elliptic Systems-Reference-Cited by-同舟云学术

Perturbation of Symmetry and Multiplicity of Solutions For Strongly Indefinite Elliptic Systems

Published:2007-02-01 Issue:1 Volume:7 Page:1-30
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Tarsi Cristina¹

Affiliation:

1. Dipartimento di Matematica Universita’ di Milano, via Saldini, 50, I-20133 Milano

Abstract

Abstract We consider the following elliptic system:

where Ω ⊂ ℝN, N ≥ 3 is a smooth bounded domain. If h(x) ≡ k(x) ≡ 0, the system presents a natural ℤ2 symmetry, which guarantees the existence of infinitely many solutions. In this paper we show that the multiplicity structure can be maintained if (p,q) lies below a suitable curve in ℝ2.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2007-0101/pdf

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