一类非局部椭圆方程Navier边值问题弱解的存在性

摘要

本文主要利用变分法讨论了一类带有非局部项的四阶Navier边值问题弱解的存在性.在对非线性项做适当的假设后,作者利用山路引理证明了该问题至少存在一个非零弱解.%By the variational methods,the present paper considers the existence of solution for a fourth-order Navier boundary problem with nonlocal term.Applying the Mountain Pass Theorem,the author proves that the problem has at least one nontrival weak solution under some suitable assumptions.