A critical elliptic problem involving exponential and singular nonlinearities

Debajyoti Choudhuri,Kamel Saoudi

doi:10.1007/s13540-022-00120-5

A critical elliptic problem involving exponential and singular nonlinearities

Debajyoti Choudhuri, Kamel Saoudi

https://doi.org/10.1007/s13540-022-00120-5

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Journal: Fractional Calculus and Applied Analysis	Publication Date: Dec 27, 2022
Citations: 2

Affiliation: National Institute of Technology Rourkela, Imam Abdulrahman Bin Faisal University

#Singular Nonlinearities #Exponential Singularity + Show 6 more

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Abstract

We study the existence of a solution to an elliptic problem driven by a fractional p-Laplacian and a nonlinearity which is a product of an exponential and a singular nonlinearity. The exponential singularity is of Trudinger-Moser type and the singularity is of the order \(0<\beta <1\).

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