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math.AP2024
Improved regularity estimates for Hardy-Hénon-type equations driven by the -Laplacian
Elzon C. Bezerra Júnior, João Vitor da Silva, Thialita M. Nascimento +1
In this work, we establish sharp and improved regularity estimates for viscosity solutions of Hardy-Hénon-type equations with possibly singular weights and strong absorption govern…
math.AP2024
Schauder-type estimates for fully nonlinear degenerate elliptic equations
Thialita M. Nascimento
In this paper, we examine regularity estimates for solutions to fully nonlinear, degenerated elliptic equations, at interior vanishing source points. At these points, we obtain Sch…
math.AP2024
Higher regularity of solutions to fully nonlinear elliptic equations
Thialita M. Nascimento, Ginaldo Sá, Aelson Sobral +1
We establish higher regularity properties of solutions to fully nonlinear elliptic equations at interior critical points. The key novelty of our estimates lies in the fact that the…