Special Session 23: Topological and Variational Methods for Differential Equations

On a new class of Kirchhoff equations involving the p(x)-Laplacian

Seol Vin Kim
Seoul National University
Korea
Co-Author(s):    Yun-Ho Kim
Abstract:
In this talk, we are concerned with the existence result of a sequence of infinitely many small energy solutions to the fractional p-Laplacian equations of Kirchhoff-Schr\{o}dinger type with concave--convex nonlinearities when the convex term does not require the Ambrosetti-Rabinowitz condition. The main aim of the present talk, on a new class of the Kirchhoff term, is to discuss the multiplicity result of non-trivial solutions by using the dual fountain theorem as the main tool.