Abstract

In the paper, we define a new class of De Giorgi type that is related to the Caffarelli-Korn-Nirenberg weights and its applications in obtaining the Hölder continuity of solutions to degenerate/singular elliptic equations and quasi-minima of functionals. Our results are the direct extension of some previous works Colorado et al. (2004) [13], Fan and Zhao (1999) [17], Nhan et al. (2022) [38], Yu and Ri (2017) [50].

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