1 citations · 1 across the 5 of their papers we have counts for
5 papers
Asymptotic behavior of multi-peak solutions to the Brezis-Nirenberg problem. The sub-critical perturbation case
Jinkai Gao, Shiwang Ma
In this paper, we consider the following well-known Brezis-Nirenberg problem \begin{equation*} \begin{cases} -Δu= u^{2^*-1}+\varepsilon u^{q-1}, \quad u>0, &{\text{in}~Ω},\\ \quad…
Asymptotic behavior for the Brezis-Nirenberg problem. The subcritical perturbation case
Jinkai Gao, Shiwang Ma
In this paper, we are concerned with the well-known Brezis-Nirenberg problem \begin{equation*} \begin{cases} -Δu= u^{2^*-1}+\varepsilon u^{q-1},\quad u>0, &{\text{in}~Ω},\\ \quad \…
Existence of positive solutions for Kirchhoff type problems with critical exponent in exterior domains
Liqian Jia, Xinfu Li, Shiwang Ma
In this paper, by using variational methods we study the existence of positive solutions for the following Kirchhoff type problem: $$ \left\{ \begin{array}{ll} -\left(a+b\mathlarge…
Asymptotic profiles for Choquard equations with combined attractive nonlinearities
Shiwang Ma, Vitaly Moroz
We study asymptotic behaviour of positive ground state solutions of the nonlinear Choquard equation $$ -Δu+\varepsilon u=(I_α\ast |u|^{p})|u|^{p-2}u+ |u|^{q-2}u \quad {\rm in} \ \m…
Normalized Solutions to Kirchhoff Equation with Nonnegative Potential
Shuai Mo, Shiwang Ma
This paper is concerned with the existence of solutions to the problem $$-\left(a+ b\int_{\mathbb{R}^{N}}|\nabla u|^{2} dx \right)Δu +V(x)u+λu = |u|^{p-2}u,\ \ x \in \mathbb{R}^{N}…