Remarks on the Clark theorem
Remarks on the Clark theorem
复制标题
DOI：
--
复制
发表时间：
2017-01
期刊：
影响因子：
--
通讯作者：
Guosheng Jiang;Kazunaga Tanaka;Chengxiang Zhang
中科院分区：
文献类型：
--
作者：
Guosheng Jiang;Kazunaga Tanaka;Chengxiang Zhang
克拉克定理在临界点理论中很重要。对于一类偶泛函，它保证了无穷多个收敛于0的负临界值的存在性，并在次线性椭圆型问题中有重要的应用。研究了相应临界点的收敛性，给出了临界点的累加点的表征，并给出了具有负临界值的临界点收敛到非零临界点的例子。我们的结果改进了Kajikiya [Ka1]和Liu-Wang [LW]的摘要结果。
The Clark theorem is important in critical point theory. For a class of even functionals it ensures the existence of infinitely many negative critical values converging to $0$ and it has important applications to sublinear elliptic problems. We study the convergence of the corresponding critical points and we give a characterization of accumulation points of critical points together with examples, in which critical points with negative critical values converges to non-zero critical point. Our results improve the abstract results in Kajikiya [Ka1] and Liu-Wang [LW].