The existence of three weak solutions for the following nonlocal fractional equation in in is investigated, where is fixed, is the fractional Laplace operator, and are real parameters, is an open bounded subset of , , and the function satisfies some regularity and natural growth conditions. The approach is based on a three-critical-point theorem for differential functionals.
"Three Weak Solutions for Nonlocal Fractional Laplacian Equations." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/809769