3 papers
math.AP2026
Ground states of a logarithmic Schrödinger equation with a power perturbation in : existence, uniqueness and nondegeneracy
Jinqi Yan, Bo You
The objective of this paper is to study the existence and uniqueness of positive ground state solutions of the following Schrödinger problem \[ -Δu=u\log u^2+μ\abs{u}^{p-1}u\qquad\…
math.OC2025
Hierarchical exact controllability for a parabolic equation with Hardy potential
Haiyang Lin, Bo You
The main objective of this paper is to study the hierarchical exact controllability for a parabolic equation with Hardy potential by Stackelberg-Nash strategy. In linear case, we e…
math.AP2025
Finite time blow-up and global solutions for the viscoelastic wave equation with combined power-type nonlinearities
Haiyang Lin, Jinqi Yan, Bo You +1
The main objective of this manuscript is to investigate the global behavior of the solutions to the viscoelastic wave equation with a linear memory term of Boltzmann type, and a no…