Existence of a renormalized solution to the quasilinear Riccati-type equation in Lorentz spaces

Authors: Trần Minh Phương, Nguyen Thanh Nhan,

https://doi.org/10.1016/j.crma.2018.12.001

Publisher, magazine: ,

Publication year: 2019

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Abstract

In this paper, we prove the existence of a renormalized solution for the quasilinear Riccati-type equation with low integrability-measure data in Lorentz spaces. The result is established in both regular and singular cases. Our proof is based on the gradient estimates for a solution to a class of quasilinear elliptic equations.

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