Journal
ANNALI DI MATEMATICA PURA ED APPLICATA
Volume 195, Issue 6, Pages 1917-1959Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10231-015-0542-7
Keywords
Quasilinear problems; Double phase problems; Nonstandard growth conditions; Musielak-Orlicz spaces; Gamma-convergence; Stability of eigenvalues; Weyl-type laws
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Funding
- Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni (INdAM)
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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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