Weighted fractional Laplace equation involving singular and critical nonlinearity

Lanxi Wu; Zhiying Deng

doi:10.1117/12.3036504

21 July 2024 Weighted fractional Laplace equation involving singular and critical nonlinearity

Lanxi Wu, Zhiying Deng

Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 132190V (2024) https://doi.org/10.1117/12.3036504
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China

Abstract

In this paper, we study the existence of positive solutions of the weighted fractional Laplace problem involving a singular term and a weighted critical Sobolev exponent. By using the idea of Nehari manifold methods and fibering maps, together with variational methods and the fractional Caffarelli-Kohn-Nirenberg inequality, we will prove that there exists at least two positive solutions when we have an appropriate choice of λ.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Lanxi Wu and Zhiying Deng "Weighted fractional Laplace equation involving singular and critical nonlinearity", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 132190V (21 July 2024); https://doi.org/10.1117/12.3036504

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