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Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities

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Abstract

Existence of nontrivial and multiple solutions for two types of non-local problems with sublinear or superlinear nonlinearities are investigated by linking theorems and index theory in critical point theory. Some results in the literature are extended.

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Acknowledgements

The author would like to thank the referees for careful reading and pointing out some suggestions.

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Zhiqing Han & Ye Xue

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  1. Zhiqing Han
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  2. Ye Xue
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Correspondence to Zhiqing Han.

Additional information

This article is part of the topical collection dedicated to Prof. Dajun Guo for his 85th birthday, edited by Yihong Du, Zhaoli Liu, Xingbin Pan, and Zhitao Zhang.

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Han, Z., Xue, Y. Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. SN Partial Differ. Equ. Appl. 1, 29 (2020). https://doi.org/10.1007/s42985-020-00034-y

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  • DOI: https://doi.org/10.1007/s42985-020-00034-y

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