2 papers
math.AP2024
Existence of solutions for a class of Kirchhoff-type equations with indefinite potential
Linlian Xiao, Jiaqian Yuan, Jian Zhou +1
In this paper, we consider the existence of solutions of the following Kirchhoff-type problem \[ \left\{ \begin{array} [c]{ll} -\left(a+b\int_{\mathbb{R}^3}|\nabla u|^2dx\right)Δu+…
math.AP2018
Exponential Decay for Lions-Feireisl's Weak Solutions to the Barotropic Compressible Navier-Stokes Equations in 3D Bounded Domains
Yan-Fang Peng, Xiaoding Shi
For barotropic compressible Navier-Stokes equations in three-dimensional (3D) bounded domains, we prove that any finite energy weak solution obtained by Lions [Mathematical topics…