A Picone's identity for the p(x)-Laplace operator on hyperbolic space
Picone's identity plays a crucial role in the study of partial differential equations,and its applications are very extensive.In this paper,we extend the p(x)-Laplace operator from Euclidean space to hyperbolic space,including both the ball model BN and the half space model HN.We establish Picones identities corresponding to the p(x)-Laplace opera-tor on hyperbolic space and provide applications for these identities.Therefore,the relevant results of the variable exponents problem in Euclidean space can be generalized to hyperbolic space.
Picone's identityp(x)-Laplace operatorhyperbolic space
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