Abel differential equations form a notable class of non-linear ordinary differential equations characterised by their polynomial non-linearities. These equations have been instrumental in exploring ...

The paper deals with classical polynomial Liénard equations, i.e. planar vector fields associated to scalar second order differential equations x″ + f(x)x′ + x = 0 where f is a polynomial. We prove ...

We study limit behavior for the level-set power mean curvature flow equation as the exponent tends to infinity. Under Lipschitz continuity, quasiconvexity, and coercivity of the initial condition, we ...