Positive Solutions for a Class of Fractional p-Laplacian Equation with Critical Sobolev Exponent and Decaying Potentials

In this paper, we study the existence of positive solution for the p -Laplacian equations with fractional critical nonlinearity { ( − Δ ) p s u + V ( x ) | u | p − 2 u = K ( x ) f ( u ) + P ( x ) | u | p s ∗ − 2 u , x ∈ ℝ N , u ∈ D s , p ( ℝ N ) , where s ∈ ( 0 , 1 ) , p s ∗ = N p N − s p , N > s...

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 38; no. 2; pp. 463 - 483
Main Authors Li, Na, He, Xiao-ming
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2022
Springer Nature B.V
EditionEnglish series
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