Caccioppoli-type inequalities for Dirac operators


Kashkynbayev A. Oralsyn G.
2022Springer Science and Business Media Deutschland GmbH

Journal of Inequalities and Applications
2022#2022Issue 1

In this paper, we establish the Caccioppoli estimates for the nonlinear differential equation −D‾(|Dv|p−2Dv)=λ|v|p−2v,1
Caccioppoli inequality , Dirac operator , Picone identity , Quaternions

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Department of Mathematics, Nazarbayev University, 53 Kabanbay batyr ave., Nur-Sultan, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin Street, Almaty, Kazakhstan

Department of Mathematics
Institute of Mathematics and Mathematical Modeling

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