In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents. (C) 2015 Elsevier Ltd. All rights reserved.

Stability of eigenvalues for variable exponent problems

Colasuonno Francesca;
2015

Abstract

In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents. (C) 2015 Elsevier Ltd. All rights reserved.
2015
Istituto Applicazioni del Calcolo ''Mauro Picone''
Quasilinear eigenvalue problems
Variable exponents
Gamma-convergence
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/307359
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