论文标题
Kirchhoff类型方程的实质性解决方案的存在和多样性
Existence and Multiplicity of solutions for Kirchhoff type equations in Physical Education
论文作者
论文摘要
可能熟练的，但在生物学上培养的运动员不太可能被选为人才发展计划的事实可以代表体育中人才识别的失败。在本文中，我们证明了具有DIRICHLET边界值条件的Kirchhoff类型方程的解决方案。我们在没有（PS）条件的情况下使用山间通过定理。
The fact that potentially skilled, but biologically later-maturing athletes are less likely to be selected into talent development programmes can represent a failure of Talent Identification in sports. In this article, we prove the existence of solutions for Kirchhoff type equations with Dirichlet boundaryvalue condition. We use the Mountain Pass Theorem in critical point theory, without the (PS) condition.
