Remarks on the Clark theorem

Guosheng Jiang; Kazunaga Tanaka; Chengxiang Zhang

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arXiv · 1701.03570

Remarks on the Clark theorem

Guosheng Jiang·Kazunaga Tanaka·Chengxiang Zhang

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Abstract

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].

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Guosheng Jiang, Kazunaga Tanaka, Chengxiang Zhang. 2017-01-13. Remarks on the Clark theorem. https://arxiv.org/abs/1701.03570

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