Eigenvalues for double phase variational integrals
Analysis of PDEs
2015-10-13 v3
Abstract
We study an eigenvalue problem in the framework of double phase variational integrals and we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a continuity result for the nonlinear eigenvalues with respect to the variations of the phases. Furthermore, we investigate the growth rate of this sequence and get a Weyl-type law consistent with the classical law for the -Laplacian operator when the two phases agree.
Cite
@article{arxiv.1507.01959,
title = {Eigenvalues for double phase variational integrals},
author = {Francesca Colasuonno and Marco Squassina},
journal= {arXiv preprint arXiv:1507.01959},
year = {2015}
}
Comments
42 pages, typos corrected, final version, to appear in Ann. Mat. Pura Appl