报告题目:Homoclinic solutions and boundary value problems for difference equations with 𝛟-Laplacian
报告摘要：In this talk, we will first show some new sufficient conditions on the existence of homoclinic solutions for a class of nonlinear discrete ϕ-Laplacian equations with mixed nonlinearities for the potentials being periodic or being unbounded, respectively. And we prove it is also necessary in some special cases. Then we show some sufficient conditions on the existence of infinitely many positive solutions of the boundary value problems for a second order ϕ-Laplacian difference equation. The methods are variational.