Abstract
The concept of the modular first Dirichlet eigenvalue for the p(·)-Laplacian is introduced as a generalization of the constant case. An important property of the corresponding eigenfunctions is obtained. We prove a qualitative stability result for such eigenvalues in terms of the magnitude of the perturbation of the variable modular exponent p(·).
Mathematics Subject Classification (2010). Primary 35J60; Secondary 15A18.
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Lang, J., Méndez, O. (2012). Modular Eigenvalues of the Dirichlet p(·)-Laplacian and Their Stability. In: Brown, B., Lang, J., Wood, I. (eds) Spectral Theory, Function Spaces and Inequalities. Operator Theory: Advances and Applications(), vol 219. Springer, Basel. https://doi.org/10.1007/978-3-0348-0263-5_8
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DOI: https://doi.org/10.1007/978-3-0348-0263-5_8
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