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Schauder边界条件的推广及多临界点定理

Generalization of the Schauder boundary condition and its application to multiple critical points theorem
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摘要 通过切锥及局部微分同胚的概念,引入了一种新的边界条件的刻画方式,并给出了相应的构造伪梯度向量场的方法.针对非线性项在零点与无穷大处增长性发生变化的p-Laplace方程,应用得到了几个多临界点存在的结果. By means of some concepts of tangent cone and local differmorphism,a different boundary condition and the appropriate way to construct the corresponding pseudo-gradient vector field were established.And several multiple critical points theorems were proved for the p-Laplace equation with a nonlinear term which has different rates at zero and infinity.
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第2期93-97,共5页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金项目(11031003)
关键词 不变集 伪梯度流 本性局部凸 约束变分问题 invariant set pseudo-gradient flow essentially local convex constraint variational problem AMS Subject Classifications(2000):58E50
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参考文献9

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