A complete series of potential functions for solving the wave equations in an almost transversely isotropic media is presented. The potential functions are reduced to only one potential function particularly for axisymmetric wave propagation problems. The potential functions presented in this paper can be reduced to Lekhnitskii-Hu-Nowacki solution for elastostatics problems.

In this article, we begin with Riesz potential. We then discuss some properties of the Finally a relation Potential fractional maximal function in sense that can be controlled by potential and maps space Lp to Lq whenever does.

The theory of non cooperative games with potential function was introduced by Monderer and Shapley in 1996. Such games have interesting properties, among which is the existence of equilibria in pure strategies. The paper by Monderer and Shapley has inspired many game theory researchers. In the present paper, many classes of multiobjective games with potential functions are studied. The notions ...

Several discussants (Delaigle, Hall, Wellner, Seregin, Chacón, Critchley) ask about other possible shape constraints. Indeed, Seregin and Wellner (2010) have recently shown that a maximum likelihood estimator exists within the class of d-variate densities of the form f = h ◦ g, where h is a known monotone function and g is an unknown convex function. Certain conditions are required on h, but ta...