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Indexed by:期刊论文

Date of Publication:2018-04-01

Journal:JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS

Included Journals:SCIE、EI、Scopus

Volume:24

Issue:2

Page Number:223-236

ISSN No.:1079-2724

Key Words:Stability of eigenvalues; Robin boundary conditions; p(x)-Laplacian equations; Gamma-convergence

Abstract:In this paper, the stability of eigenvalues for the p(x)-Laplacian equations involving Robin boundary conditions has been studied in the framework of I"-convergence. We prove that the uniform convergence of the exponents is enough to guarantee the convergence of the mth eigenvalues for Robin problems, which can be defined by inf sup sequences of Rayleigh quotient for the Luxemburg norms.