Abstract
We extend the classical version of Kato's inequality in order to allow functions u∈L1loc such that Δu 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 -Δu+g(u)=μ, where μ is a measure and g:ℝ→ℝ © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.
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APA
Brezis, H., & Ponce, A. C. (2004). L’inégalité de Kato lorsque Δu est une mesure. Comptes Rendus Mathematique, 338(8), 599–604. https://doi.org/10.1016/j.crma.2003.12.032
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