Infinitely Many Solutions of Nonlinear Elliptic Systems
Infinitely Many Solutions of Nonlinear Elliptic Systems
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DOI：
10.1007/978-3-0348-8765-6_4
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
T. Bartsch;D. G. Figueiredo
中科院分区：
文献类型：
--
作者：
T. Bartsch;D. G. Figueiredo
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 aC1-function.
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 aC1-function.