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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…
math.AP2016
Singularly perturbed fully nonlinear parabolic problems and their asymptotic free boundaries
Gleydson C. Ricarte, Rafayel Teymurazyan, José Miguel Urbano
We study fully nonlinear singularly perturbed parabolic equations and their limits. We show that solutions are uniformly Lipschitz continuous in space and Hölder continuous in time…