A fractional profile decomposition and its application to Kirchhoff-type fractional problems with prescribed mass

In this article, we study the following fractional Kirchhoff-type problems with critical and sublinear nonlinearities: a+b∬RN×RN∣u(x)−u(y)∣2∣x−y∣N+2sdxdy(−Δ)su=λuq−1+u2s*−1,u>0,inΩ,u=0,inRN\Ω,∫RNu2dx=c2,\left\{\begin{array}{l}\left(a+b\mathop{\iint }\limits_{{{\mathbb{R}}}^{N}\times {{\mathbb{R}}...

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Bibliographic Details
Published in:Advances in Nonlinear Analysis
Main Authors: Tian Junshan, Zhang Binlin
Format: Article
Language:English
Published: De Gruyter 2024-09-01
Subjects:
Online Access:https://doi.org/10.1515/anona-2024-0029