Kato's inequality when Delta u is a measure
(2004) Comptes rendus - Mathématique — Vol. 338, n° 8, p. 599-604 (2004)
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- Abstract
- We extend the classical version of Kato's inequality in order to allow functions it u epsilon L-loc(1) such that Deltau is a Radon measure. This inequality has been recently applied by Brezis, Marcus, and Ponce to study the existence of solutions of the nonlinear equation -Deltau + g(u) = mu, where mu is a measure and g: R --> R is a nondecreasing continuous function.
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Brezis, H., & Ponce, A. (2004). Kato’s inequality when Delta u is a measure. Comptes rendus - Mathématique, 338(8), 599-604. https://doi.org/10.1016/j.crma.2003.12.032 (Original work published 2004)