We consider a nonlinear parametric Dirichlet problem driven by the anisotropic p-Laplacian with the combined effects of “concave” and “convex” terms. The “superlinear” nonlinearity need not satisfy the Ambrosetti-Rabinowitz condition. Using variational methods based on the critical...

In this article, we study the price monotonicity in the parameters of the Heston model for a contract with a convex pay-off function; in particular we consider European put options. We show that the price is increasing in the constant term in the drift of the variance process and decreasing in...

This paper studies a continuous-time life-cycle model with a consumption-leisure choice made by a finitely-lived agent with a random lifetime. We explicitly account for the leisure constraint in the corresponding constrained optimal control problem with a commonly postulated solution structure,...