A Lyapunov type inequality for indefinite weights and eigenvalue homogenization
Copyright policy )A Lyapunov type inequality for indefinite weights and eigenvalue homogenization
In this paper we prove a Lyapunov type inequality for quasilinear problems with indefinite weights. We show that the first eigenvalue is bounded below in terms of the integral of the weight, instead of the integral of its positive part. We apply this inequality to some eigenvalue homogenization problems with indefinite weights.
12 pages
- University of Buenos Aires Argentina
- National Scientific and Technical Research Council Argentina
HOMOGENIZATION, Estimates of eigenvalues in context of PDEs, Homogenization in context of PDEs; PDEs in media with periodic structure, eigenvalue bounds, Mathematics - Analysis of PDEs, EIGENVALUES, P-LAPLACIAN, FOS: Mathematics, https://purl.org/becyt/ford/1.1, Lyapunov inequality, https://purl.org/becyt/ford/1, LYAPUNOV’S INEQUALITY, Analysis of PDEs (math.AP)
HOMOGENIZATION, Estimates of eigenvalues in context of PDEs, Homogenization in context of PDEs; PDEs in media with periodic structure, eigenvalue bounds, Mathematics - Analysis of PDEs, EIGENVALUES, P-LAPLACIAN, FOS: Mathematics, https://purl.org/becyt/ford/1.1, Lyapunov inequality, https://purl.org/becyt/ford/1, LYAPUNOV’S INEQUALITY, Analysis of PDEs (math.AP)
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