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The critical case for a Berestycki-Lions theorem 被引量:2

The critical case for a Berestycki-Lions theorem
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摘要 We consider the existence of the ground states solutions to the following Schrdinger equation:△u+V(x)u=f(u),u∈H1(RN),where N 3 and f has critical growth.We generalize an earlier theorem due to Berestycki and Lions about the subcritical case to the current critical case. We consider the existence of the ground states solutions to the following Schrodinger equation -△u + V(x)u = f(u), u ∈ H1(RN), where N ) 3 and f has critical growth. We generalize an earlier theorem due to Berestycki and Lions about tile subcritical case to the current critical case.
出处 《Science China Mathematics》 SCIE 2014年第3期541-554,共14页 中国科学:数学(英文版)
关键词 临界增长 定理 狮子 薛定谔方程 基态解 亚临界 meromorphic function, normal family, the sequence of omitted functions
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