Existence of a renormalized solution to the quasilinear Riccati-type equation in Lorentz spaces |
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| Authors: | Minh-Phuong Tran Thanh-Nhan Nguyen |
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| Affiliation: | 1. Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Department of Mathematics, Ho Chi Minh City University of Education, Ho Chi Minh City, Viet Nam |
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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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