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math.AP2022★ 10 cited
Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications
Junior da S. Bessa, João Vitor da Silva, Maria N. B. Frederico +1
In this work we derive global estimates for viscosity solutions to fully nonlinear elliptic equations under relaxed structural assumptions on the governing operator which are weake…
math.AP2016
Cavity type problems ruled by infinity Laplacian operator
Gleydson Chaves Ricarte, João Vítor da Silva, Rafayel Teymurazyan
We study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschit…