Yu. A. Alkhutov, M. D. Surnachëv
Abstract
A sufficient condition for a measurable exponent p ( x ) is obtained that implies the Hölder continuity and Harnack’s inequality for p ( x )-harmonic functions.
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A sufficient condition for a measurable exponent p ( x ) is obtained that implies the Hölder continuity and Harnack’s inequality for p ( x )-harmonic functions.
Key concepts: Harnack's inequality, Harnack's principle, Hölder condition, Harmonic function, Mathematics, Harmonic, Mathematical analysis, Exponent