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arXiv · 1507.01959

Eigenvalues for double phase variational integrals

Francesca Colasuonno·Marco Squassina
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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.

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Francesca Colasuonno, Marco Squassina. 2015-07-07. Eigenvalues for double phase variational integrals. https://arxiv.org/abs/1507.01959

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