Solutions of a class of Hamiltonian elliptic systems in |
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| Authors: | Minbo Yang Wenxiong Chen Yanheng Ding |
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| Affiliation: | aDepartment of Mathematics, Zhejiang Normal University, 321004 Jinhua, China;bInst. of Math., AMSS, Chinese Academy of Sciences, Zhongguancun, 100080 Beijing, China |
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| Abstract: | We study the existence of ground state solutions for the following elliptic systems in RN where b=(b1,…,bN) is a constant vector and H C1(RN×R2,R) is nonperiodic in variables x and super-quadratic as |z|→∞. By a recent critical point theorem for strongly indefinite problem, we obtain the existence of at least one ground state solution. |
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| Keywords: | Variational methods Ground state solution Superlinear Critical points |
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