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math.AP2019
The stickiness phenomena of nonlocal minimal surfaces: new results and a comparison with the classical case
Claudia Bucur
We discuss in this note the stickiness phenomena for nonlocal minimal surfaces. Classical minimal surfaces in convex domains do not stick to the boundary of the domain, hence examp…
math.AP2019
Approximate convexity principles and applications to PDEs in convex domains
Claudia Bucur, Marco Squassina
We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonl…