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 p-Laplacian operator when the two phases agree.
Eigenvalues for double phase variational integrals
SQUASSINA, Marco
In corso di stampa
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 p-Laplacian operator when the two phases agree.
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