Ground States of Mixed Local and Nonlocal System of Choquard Type

Xiaohong Cheng; Zhiying Deng

Ground States of Mixed Local and Nonlocal System of Choquard Type

Xiaohong Cheng, Zhiying Deng

Proceedings of 2025 2nd International Conference on Machine Learning and Intelligent Computing, PMLR 278:414-420, 2025.

Abstract

This paper establishes the existence of solution for a family of weakly coupled nonlinear Choquard-type system. We apply variational methods and utilize the introduced manifold $\mathcal{N}_{\omega} $ to investigate this problem.

Cite this Paper

BibTeX

@InProceedings{pmlr-v278-cheng25b,
  title = 	 {Ground States of Mixed Local and Nonlocal System of Choquard Type},
  author =       {Cheng, Xiaohong and Deng, Zhiying},
  booktitle = 	 {Proceedings of 2025 2nd International Conference on Machine Learning and Intelligent Computing},
  pages = 	 {414--420},
  year = 	 {2025},
  editor = 	 {Zeng, Nianyin and Pachori, Ram Bilas and Wang, Dongshu},
  volume = 	 {278},
  series = 	 {Proceedings of Machine Learning Research},
  month = 	 {25--27 Apr},
  publisher =    {PMLR},
  pdf = 	 {https://raw.githubusercontent.com/mlresearch/v278/main/assets/cheng25b/cheng25b.pdf},
  url = 	 {https://proceedings.mlr.press/v278/cheng25b.html},
  abstract = 	 {This paper establishes the existence of solution for a family of weakly coupled nonlinear Choquard-type system. We apply variational methods and utilize the introduced manifold  $\mathcal{N}_{\omega}  $ to investigate this problem.}
}

Endnote

%0 Conference Paper
%T Ground States of Mixed Local and Nonlocal System of Choquard Type
%A Xiaohong Cheng
%A Zhiying Deng
%B Proceedings of 2025 2nd International Conference on Machine Learning and Intelligent Computing
%C Proceedings of Machine Learning Research
%D 2025
%E Nianyin Zeng
%E Ram Bilas Pachori
%E Dongshu Wang	
%F pmlr-v278-cheng25b
%I PMLR
%P 414--420
%U https://proceedings.mlr.press/v278/cheng25b.html
%V 278
%X This paper establishes the existence of solution for a family of weakly coupled nonlinear Choquard-type system. We apply variational methods and utilize the introduced manifold  $\mathcal{N}_{\omega}  $ to investigate this problem.

APA

Cheng, X. & Deng, Z.. (2025). Ground States of Mixed Local and Nonlocal System of Choquard Type. Proceedings of 2025 2nd International Conference on Machine Learning and Intelligent Computing, in Proceedings of Machine Learning Research 278:414-420 Available from https://proceedings.mlr.press/v278/cheng25b.html.

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