Representation formulas for faces and support functions of the values of maximal monotone operators are established in two cases: either the operators are defined on reflexive and locally uniformly convex real Banach spaces ...

Let f = (f1, , fm ), where fj belongs to the Orlicz space [0, 1], and let w = (w1, , wm ) be an m-tuple of m positive weights. If ⊂ [0, 1] is the class of nondecreasing functions, we denote by ,w(f, ) the set of best ...

We prove sharp Holder continuity and an estimate of rupture sets for sequences of solutions of the following nonlinear problem with negative exponent Delta u =1/u(p) in Omega, p > 1. As a consequence, we prove the ...

Monotonic structure of the space of trajectories of Young systems has been studied in a recent paper, Vieira et al. (J Dyn Control Syst 2013;19(3):405–420). In this paper, we study the notion of regularity for trajectories ...

We consider Liouville-type and partial regularity results for then online arfourth-order problem Δ2u = |u|p−1u in Rn, where p>1 and n≥ 1.We give a complete classification of stableand finite Morse index solutions ...