4 papers
Improved Regularity for Nonlocal Hamilton--Jacobi Equations with Superlinear Hamiltonians
Adina Ciomaga, Tri Minh Lê, Olivier Ley +1
We investigate the regularity of viscosity solutions to a class of nonlocal Hamilton-Jacobi equations driven by x-dependent integro-differential operators and coercive superlinear…
A convexity criterion via the De Giorgi slope
Tahar Z. Boulmezaoud, Aris Daniilidis, Trí Minh Lê
Let be a Banach space and be bounded from below. We show that if for some , the function is convex, then is con…
Comparison principle for general nonlocal Hamilton-Jacobi equations with superlinear gradient
Adina Ciomaga, Tri Minh Le, Olivier Ley +1
We obtain the comparison principle for discontinuous viscosity sub- and supersolutions of nonlocal Hamilton-Jacobi equations, with superlinear and coercive gradient terms. The nonl…
Solving Nonlinear Absolute Value Equations
Aris Daniilidis, Mounir Haddou, Tri Minh Le +2
In this work, we show that several problems naturally represented as Nonlinear Absolute Value Equations (NAVE) can be reformulated as Nonlinear Complementarity Problems (NCP) and e…