Multiple positive solutions for a nonlocal problem with fast increasing weight and critical exponent

Abstract In this paper, we are concerned with the following nonlocal problem: − ( a − ϵ ∫ R 3 K ( x ) | ∇ u | 2 d x ) div ( K ( x ) ∇ u ) = λ K ( x ) f ( x ) | u | q − 2 u + K ( x ) | u | 4 u , x ∈ R 3 , $$ -\left (a-\epsilon \displaystyle \int _{\mathbb{R}^{3}} K(x)| \nabla u|^{2}dx\right )\text{di...

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Bibliographic Details
Main Authors: Xiaotao Qian, Zhigao Shi
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-024-01986-5
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