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
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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.
quasilinear eigenvalue problems, double phase problems
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/927594
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