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arXiv · 1502.03393

Stability of eigenvalues for variable exponent problems

Francesca Colasuonno·Marco Squassina
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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.

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Francesca Colasuonno, Marco Squassina. 2015-02-11. Stability of eigenvalues for variable exponent problems. https://doi.org/10.1016/j.na.2015.03.023

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