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math.AP2026
Uniqueness and nondegeneracy of positive solutions to elliptic equations with Robin boundary conditions
Mengyao Chen, Massimo Grossi, Qi Li
In this paper, we study the uniqueness of positive solutions to the semilinear elliptic Robin problem $$ \begin{cases} -Δu = u^p, & \text{in } Ω,\\ u > 0, & \text{in } Ω,\\ \frac{\…
math.AP2026
Asymptotic behavior of solutions to elliptic problems with Robin boundary conditions
Mengyao Chen, Massimo Grossi, Qi Li
In this paper, we investigate the asymptotic behavior, as , of positive solutions to the semilinear elliptic Robin problem \begin{equation*} \begin{cases} -Δu = u^p, & \tex…
math.AP2022
A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: existence and multiplicity of high energy positive solutions
Mengyao Chen, Lun Guo, Qi Li
This paper deals with a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent \begin{equation*} \begin{cases} -Δu+(V_1(x)+λ_1)u=μ_1(|x|^{-4}*u^{2})u+β(|x|^{-4}*v^{…