We prove a nonlinear analog of Picone’s identity for the ∆γ -Laplace operator. As an application, we give a Hardy-type inequality and the Sturmian comparison principle. We also establish strict monotonicity of the principal eigenvalue and degenerate elliptic system.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 4, pp. 515–522, April, 2021. Ukrainian DOI: 10.37863/umzh.v73i4.639.
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Luyen, D.T. Picone’s Identity For ∆γ -Laplace Operator and its Applications. Ukr Math J 73, 601–609 (2021). https://doi.org/10.1007/s11253-021-01946-7
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DOI: https://doi.org/10.1007/s11253-021-01946-7