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math.AP2025
Infinitely many positive solutions to nonlinear scalar field equation with nonsmooth nonlinearity
Tianhao Liu, Juncheng Wei, Wenming Zou
This paper investigates the existence of infinitely many positive solutions for the logarithmic scalar field equation \begin{equation} \tag{} \label{equ1} -Δu+ V(x) u= u\log u^2…
math.AP2025
Multiple sign-changing and semi-nodal normalized solutions for a Gross-Pitaevskii type system on bounded domains: the -supercritical case
Tianhao Liu, Linjie Song, Qiaoran Wu +1
In this paper we investigate the existence of multiple sign-changing and semi-nodal normalized solutions for an -coupled elliptic system of the Gross-Pitaevskii type: \begin{equ…