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.
Colasuonno, F., Squassina, M., Stability of eigenvalues for variable exponent problems, <<NONLINEAR ANALYSIS>>, 2015; 123 (N/A): 56-67. [doi:10.1016/j.na.2015.03.023] [http://hdl.handle.net/10807/87057]
Stability of eigenvalues for variable exponent problems
Squassina, MarcoUltimo
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.
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