2 papers
math.AP2022
Fully nonlinear Hamilton-Jacobi equations of degenerate type
David Jesus, Edgard A. Pimentel, José Miguel Urbano
We examine Hamilton-Jacobi equations driven by fully nonlinear degenerate elliptic operators in the presence of superlinear Hamiltonians. By exploring the Ishii-Jensen inequality,…
math.AP2021
A degenerate fully nonlinear free transmission problem with variable exponents
David Jesus
We study degenerate fully nonlinear free transmission problems, where the degeneracy rate varies in the domain. We prove optimal pointwise regularity depending on the degeneracy ra…