Weighted anisotropic Hardy and Rellich type inequalities for general vector fields

Abstract

In this paper, we establish the weighted anisotropic Hardy and Rellich type inequalities with boundary terms for general (real-valued) vector fields. As consequences, we derive new as well as many of the fundamental Hardy and Rellich type inequalities which are known in different settings.

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Ruzhansky, M., Sabitbek, B., & Suragan, D. (2019). Weighted anisotropic Hardy and Rellich type inequalities for general vector fields. Nonlinear Differential Equations and Applications, 26(2), Paper No. 13. https://doi.org/10.1007/s00030-019-0559-5

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