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Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions - MaRDI portal

Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions (Q1891818)

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scientific article; zbMATH DE number 764019
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Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions
scientific article; zbMATH DE number 764019

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    Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions (English)
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    14 June 1995
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    The author studies the existence and characterization of positive harmonic functions for second order elliptic operators with periodic coefficients, the behavior of the generalized principal eigenvalue under perturbations, and a number of questions related to the above mentioned problems. All these results, known to hold in the case of constant coefficients, are proved in the periodic case.
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    generalized principal eigenvalue
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