Yutong Chen, Jiabao Su, Mingzheng Sun, Rushun Tian
Abstract:
In this article we show the existence of nontrivial solutions for
nonlocal elliptic equations involving the square root of the Laplacian
with the nonlinearity failing to have asymptotic limits at zero and at infinity.
We use a combination of homotopy invariance of critical groups and the topological
version of linking theorems.
DOI: https://doi.org/10.58997/ejde.sp.01.c3
Published October 6, 2021.
Math Subject Classifications: 35A15, 35A16, 35R09, 35R11, 58E05
Key Words: Square root of the Laplacian; homotopy invariance;
critical groups; Morse theory; resonance; linking.
Show me the PDF file (376 K), TEX file for this article.
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Yutong Chen School of Mathematical Sciences Capital Normal University Beijing 100048, China email: chenyutong@cnu.edu.cn |
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Jiabao Su School of Mathematical Sciences Capital Normal University Beijing 100048, China email: sujb@cnu.edu.cn |
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Mingzheng Sun College of Sciences North China University of Technology Beijing 100144, China email: suncut@163.com |
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Rushun Tian School of Mathematical Sciences Capital Normal University Beijing 100048, China email: rushun.tian@cnu.edu.cn |
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