Nontrivial weak solutions for nonlocal nonhomogeneous elliptic problems

摘要

This article concerns the following class of nonlocal nonhomogeneous elliptic problems: where Omega is a bounded domain of R-n(n = 1), alpha, beta, is an element of R, a(x) is a matrix with variable coefficients and g : Omega x R. R is a positive function which are defined almost everywhere with respect to the variable x. By using the Schauder and Tychonoff fixed-point theorems, we establish two existence theorems of weak solutions for this problem according to two bundles of hypotheses on alpha, beta and g.