Complex Hessian equations extend the classical framework of the complex Monge–Ampère equation by involving the m-th elementary symmetric function of the eigenvalues of the complex Hessian. This ...

Assuming only asymptotic conditions on the potential function, we prove the existence of periodic solutions for equations whose nonlinearity stays below the first curve of Fučik's spectrum.

In this paper, we consider a mean-field stochastic differential equation, also called the McKean-Vlasov equation, with initial data (t, x) ∈ [0, T] × ℝd, whose ...