Abstract
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 non- linear positive eigenfunctions.
Anno
2014
Autori IAC
Tipo pubblicazione
Altri Autori
Brasco L.; Franzina G.
Editore
Tokyo Institute of Technology. Department of Mathematics
Rivista
Kodai mathematical journal