Convexity properties of Dirichlet integrals and Picone-type inequalities

Kodai Mathematical Journal

Lorenzo Brasco²  Giovanni Franzina¹ 

[1] Department Mathematik Universität Erlangen-Nürnberg Cauerstrasse 11;Aix-Marseille Université CNRS

关键词: Nonlinear eigenvalue problems;    uniqueness of eigenfunctions;    Hardy inequalities;    maximum principle;    nonlocal equations;   

DOI  :  10.2996/kmj/1414674621

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(29)We focus on three different convexity principles for local and nonlocal variational integrals. We prove various generalizations of them, as well as their equivalences. Some applications to nonlinear eigenvalue problems and Hardy-type inequalities are given. We also prove a measure-theoretic minimum principle for nonlocal and nonlinear positive eigenfunctions.

【 授权许可】

Unknown