紧凑空间
外稃(植物学)
数学
无穷
标量(数学)
算法
纯数学
数学分析
几何学
生态学
禾本科
生物
作者
Patrizia Pucci,Letizia Temperini
标识
DOI:10.1016/j.na.2021.112477
摘要
This paper deals with the existence of entire nontrivial solutions for fractional (p,q) systems with critical Hardy terms in RN. Existence of solutions for system (S) is derived via the mountain pass lemma, whose application is pretty involved and requires some variants of the concentration–compactness principle of Lions and of the concentration–compactness principle at infinity of Chabrowski for vectorial fractional spaces, here proved. Indeed, the “triple loss of compactness” in (S), caused by the simultaneous presence of Hardy and critical terms in the whole RN, forces to study the exact behaviour of the PS sequences, in the spirit of Lions. We also present a simplified version (S˜) of the main system (S), which is anyway interesting, since the existence proof for (S˜) is simpler and more direct. Finally, both existence theorems improve or complement previous results for fractional (p,q) scalar and vectorial problems.
科研通智能强力驱动
Strongly Powered by AbleSci AI