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Up-to-boundary pointwise gradient estimates for very singular quasilinear elliptic equations with mixed data
Tan Duc Do, Le Xuan Truong, Nguyen Ngoc Trong
This paper establishes pointwise estimates up to boundary for the gradient of weak solutions to a class of very singular quasilinear elliptic equations with mixed data: \begin{case…
Regularity of solutions for a class of quasilinear elliptic equations related to Caffarelli-Kohn-Nirenberg inequality
Le Cong Nhan, Ky Ho, Le Xuan Truong
This paper is concerned with a class of quasilinear elliptic equations involving some potentials related to the Caffarelli-Korn-Nirenberg inequality. We prove the local boundedness…
Hölder continuity of solutions for a class of drift-diffusion equations
Quoc-Hung Nguyen, Yannick Sire, Le Xuan Truong
We provide several regularity results for non-homogeneous drift-diffusion equations with applications to general dissipative SQG. Our results unify in a rather simple way several p…