Work

Eigenvalues for double phase variational integrals

Year: 2015

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1507.01959

Authors: Colasuonno, Francesca, Squassina, Marco

Institutions: University of Verona, Istituto per le Applicazioni del Calcolo Mauro Picone, National Research Council

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Verona, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

OpenAlex ID: W2952676342

Cites: 34

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Related to: 20