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Three Weak Solutions for a Critical Non-Local Problem with Strong Singularity in High Dimension

In this paper, we deal with a strongly singular problem involving a non-local operator, a critical nonlinearity, and a subcritical perturbation. We apply techniques from non-smooth analysis to the energy functional, in combination with the study of the topological properties of the sublevels of its...

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Principais autores: Gabriel Neves Cunha, Francesca Faraci, Kaye Silva
Formato: Artigo
Idioma:Inglês
Publicado em: MDPI AG 2024-09-01
coleção:Mathematics
Assuntos:
strong singularity
critical nonlinearity
non-local operator
subcritical perturbation
topology of sublevels
Szulkin functional
Acesso em linha:https://www.mdpi.com/2227-7390/12/18/2910
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