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一类混合边值问题的无穷多解 被引量:5

Infinitely Solutions for a Mixed Boundary Problem
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摘要 研究了一类超线性椭圆方程,且非线性项是奇的.不需要假设Ambrosetti-Rab inow itz的超二次条件,得到了无穷多解,方法是比较新的. In this paper, we consider a superlinear elliptic equation, where the nonlinearity is odd. Under no Ambrosetti-Rabinowitz's super quadratic condition, infinitely solutions are obtained.
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第4期465-467,共3页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金(10447006/A050312)资助项目
关键词 超线性 单调条件 对称型山路引理 Superlinear Monotone condition Symmetric version of Moutain pass theorem
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  • 6Rabinowitz P H. Minimax Methods in Critical Point Theory with Applications to Differential Equations [ C ]//CBMS Reg Conf Series in Math. Amer Math Soc. New York:Marcel Dekker,1986 ,65 :7-18.

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