Infinitely Many Solutions of Nonlinear Elliptic Systems

Thomas Bartsch and Djairo G. de Figueiredo
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Thomas Bartsch: Mathematisches Institut, Universität Giessen
Djairo G. de Figueiredo: IMECC UNICAMP

A chapter in Djairo G. de Figueiredo - Selected Papers, 1999, pp 463-482 from Springer

Abstract: Abstract In this paper we study elliptic systems of the form $$ \left\{ {\begin{array}{*{20}l} { - \Updelta u = H_{v} (x,u,v)\;{\text{in}}\;\Upomega } \\ { - \Updelta v = H_{u} (x,u,v)\;{\text{in}}\;\Upomega } \\ \end{array} } \right. $$ where $$ \Upomega \subset {\mathbb{R}}^{N} $$ , N ≥ 3, is a smooth bounded domain and $$ H{:} \, \overline{\Upomega } \times {\mathbb{R}}\times{\mathbb{R}}\to{\mathbb{R}} $$ is a C 1-function.

Date: 1999
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DOI: 10.1007/978-3-319-02856-9_31

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