On existence and asymptotic behavior of solutions of elliptic equations with nearly critical exponent and singular coefficients

• DOI: 10.14232/ejqtde.2021.1.64
• Publication Date: 2021-09-14T12:53:53Z
• Authors: Shiyu Li; Gongming Wei; Xueliang Duan
• Keywords: Exponent; Ode

In this paper we study the existence and asymptotic behavior of solutions ofwith Dirichlet boundary condition.Here, -2 < α 0, p(α) = 2(N+α) N-2 , 0 ε -1 -1ε is a nearly critical exponent.We combine variational arguments with moving plane method to prove positive radial solution.Moreover, behaviour solutions, as → studied by using ODE techniques.