One-sided continuous dependence of maximal solutions

Norm Inequalities Relating One-sided Singular Integrals and the One-sided Maximal Function

In this paper we prove that if a weight w satisfies the C q condition, then the Lp(w) norm of a one-sided singular integral is bounded by the Lp(w) norm of the one-sided Hardy-Littlewood maximal function, for 1 < p < q <∞.

One-Sided Interval Trees

We give an alternative treatment and extension of some results of Itoh and Mahmoud on one-sided interval trees. The proofs are based on renewal theory, including a case with mixed multiplicative and additive renewals.

Nontrivial Solutions for Nonlinear Problems with One Sided Resonance

We find nontrivial smooth solutions for nonlinear elliptic Dirichlet problems driven by the p-Laplacian (1 < p < ∞), when one sided resonance occurs at the principal spectral interval.

Continuous Dependence and Differentiation of Solutions of Finite Difference Euqations

Continuous Dependence Estimates for Viscosity Solutions of Integro-pdes

We present a general framework for deriving continuous dependence estimates for, possibly polynomially growing, viscosity solutions of fully nonlinear degenerate parabolic integro-PDEs. We use this framework to provide explicit estimates for the continuous dependence on the coefficients and the “Lévy measure” in the Bellman/Isaacs integro-PDEs arising in stochastic control/differential games. M...