An existence result for the Hénon equation with critical exponent

Yifeng Huili; Zhi-ying Deng

doi:10.1117/12.2685948

28 July 2023 An existence result for the Hénon equation with critical exponent

Yifeng Huili, Zhi-ying Deng

Proceedings Volume 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023); 127560P (2023) https://doi.org/10.1117/12.2685948
Event: 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), 2023, Tangshan, China

Abstract

In this paper, we study the existence of positive solutions for a Hénon elliptic system with boundary value problems involving the critical exponent. Based upon the variational methods, we prove the existence of a positive solution to this problem under some proper conditions.

Citation Download Citation

Yifeng Huili and Zhi-ying Deng "An existence result for the Hénon equation with critical exponent", Proc. SPIE 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 127560P (28 July 2023); https://doi.org/10.1117/12.2685948

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