【摘 要】
：
In this paper, we study the effect of lower order perturbations in the existence of positive solutions to the fractional Kirchhoff equation with critical growth
【机 构】
：
CollegeofScience,DepartmentofMathematicalSciences
【出 处】
：
Science China Mathematics
【基金项目】
：
supported by National Natural Science Foundation of China (Grant Nos. 11771468 and 11271386);supported by National Natural Science Foundation of China (Grant Nos. 11771234 and 11371212)
论文部分内容阅读
In this paper, we study the effect of lower order perturbations in the existence of positive solutions to the fractional Kirchhoff equation with critical growth(a + b∫R3|（-?）s/2u|2dx)（-?）su + V（x）u = μ|u|p-1u + |u|2s*-2u, x ∈ R3,where a, b > 0 are constants, μ > 0 is a parameter, s ∈（3/4, 1）, 1 < p < 2s*-1 =（3+2s）/（3-2s）, and V : R3→ R is a continuous potential function. For suitable assumptions on V, we show the existence of a positive ground state solution, by using the methods of the Pohozaev-Nehari manifold, Jeanjean’s monotonicity trick and the concentration-compactness principle due to Lions（1984）.
其他文献
电力行业是我国重要的能源行业,电力是我国重要的能源,与人们的生活息息相关,在人们的生活中,发挥着至关重要的作用,随着21世纪的到来,我国为了促进经济、社会和生态的协调发
目的探讨血栓弹力图评价脓毒症患者的凝血功能障碍的应用效果。方法选择2017年7月至2018年7月来我院进行治疗的90例脓毒症患者作为此次研究对象,将其根据显性DIC评分结果分为
Wireless sensor networks (WSNs) consist of a large number of sensor nodes that monitor the environment and a few base stations that collect the sensor readings.
Wireless Sensor Networks (WSNs) are universally being used and deployed to monitor the surrounding physical environments and detail events of interest. In wirel
As the human population growth and industry pressure in most developing countries continue to increase, effective water quality monitoring and evaluation has be
Traditional protocols in wireless sensor networks follow the strict layering techniques which lead to the degradation in performance of the QoS (Quality of Serv
One of the important aspects in wireless sensor networks is time synchronization. Many applications such as military activity monitoring, environmental monitori
The γ-MnO2@CNT catalyst was prepared by in situ solid phase synthesis and first applied into sodium-air batteries（SABs）. The initial discharge specific capacity
化工行业作为经济基础产业的重要组成部分,对我国的经济和社会发展有着非常重要的影响。随着国际贸易的进一步发展,我国化工行业粗放式发展的弊病愈发凸显,主要表现在:一是国
The purpose of this paper is to build a secured and reliable vehicle anti-theft system which will have the ability to access the vehicle subsystems from a remot