%0 Journal Article
%T LOCALLY AFFINE FUNCTIONS
%A CORNELIU UDREA
%J Journal of Science and Arts
%D 2010
%I Bibliotheca Publishing House
%X The Monge-Amp¨¨re equation and related boundary value problem are a source example for the non-linear potential theory, and for convex analysis ([1-5, 8]). Moreover the concept of the locally convex function is introduced in the study of the solutions of this equations ([1, 3, 5, 9]). In this paper an attempt is made to define a generalization of this type of functions (i.e. it is defined the quasi-locally convex functions), some properties of the quasi-locally convex functions are studied, and an important example of quasi-locally affine function is presented.
%K locally affine
%K epigraph
%K function.
%U http://www.icstm.ro/DOCS/josa/josa_2010_2/a.13_locally_affine_functions.pdf