Dirichlet 积分的凸性性质与 Picone 型不等式
偏微分方程分析
2014-07-01 v2
摘要
我们关注局部和非局部变分积分的三种不同凸性原理。我们证明了它们的各种推广形式及其等价性。给出了在非线性特征值问题和 Hardy 型不等式中的一些应用。我们还证明了针对非局部和非线性正特征函数的测度论最小值原理。
引用
@article{arxiv.1403.0280,
title = {Convexity Properties of Dirichlet Integrals and Picone-type Inequalities},
author = {Lorenzo Brasco and Giovanni Franzina},
journal= {arXiv preprint arXiv:1403.0280},
year = {2014}
}
备注
This paper has been written for possible publication in a special volume dedicated to the conference "Third Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's", organized in Tokyo in August 2013