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math.AP2024
A Semilinear Elliptic Problem with Critical Exponent and Potential Terms
Haoyu Li, Li Ma
This paper addresses the following problem. \begin{equation} \left\{ \begin{array}{lr} -Δu=λI_α*_Ωu+|u|^{2^*-2}u\mbox{ in }Ω,\nonumber u\in H_0^1(Ω).\nonumber \end{array} \right. \…
math.AP2024
A Liouville-type theorem for the coupled Schrödinger systems and the uniqueness of the sign-changing radial solutions
Haoyu Li, Olímpio Hiroshi Miyagaki
In this paper, we study the sign-changing radial solutions of the following coupled Schrödinger system \begin{equation} \left\{ \begin{array}{lr} -Δu_j+λ_j u_j=μ_j u_j^3+\sum_{i\ne…