| R~N中带周期位势的超线性p-Laplacian方程的无穷多解 |
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| 引用本文： | 张文丽. R~N中带周期位势的超线性p-Laplacian方程的无穷多解[J]. 应用泛函分析学报, 2012, 0(2): 166-171 |
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| 作者姓名： | 张文丽 |
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| 作者单位： | 长治学院数学系 |
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| 摘 要： | 在非线性项f是关于u的奇函数,势函数是有界的周期函数且下界是正的,Sobolev嵌入缺乏了紧性和f不再满足（AR）条件下,运用临界点理论中的喷泉定理和集中紧性原则证明了R~N中具有周期势函数的一类超线性p-Laplacian方程存在无穷多非平凡解。
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| 关 键 词： | 集中紧性原理 （C）条件 喷泉定理 |
Infinitely Many Solutions of Superlinear p-Laplacian Equation with Periodic Potentials in R~N |
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| ZHANG Wenli. Infinitely Many Solutions of Superlinear p-Laplacian Equation with Periodic Potentials in R~N[J]. Acta Analysis Functionalis Applicata, 2012, 0(2): 166-171 |
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| Authors: | ZHANG Wenli |
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| Affiliation: | ZHANG Wenli Department of Mathematics,Changzhi University,Changzhi 046011,China |
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| Abstract: | Under these assumptions that the nonlinearity is odd about u,potentials is bounded and periodic and the lower is positive,Sobolev implant is short of tightness and f is no longer satisfy (AR) condition,by using Fountain theorem and concentration-compactness principle,we study the existence of infinitely many solutions for a superlinear p-Laplacian equation in R~N with periodic potentials. |
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| Keywords: | concentration-compactness principle Cerami’s condition fountain theorem |
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