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math.AP2024
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: $$ \left\{ \begin{array}{ll} -\left(a+b\mathlarge…
math.AP2023★ 1 cited
Asymptotic profiles for Choquard equations with combined attractive nonlinearities
Shiwang Ma, Vitaly Moroz
We study asymptotic behaviour of positive ground state solutions of the nonlinear Choquard equation $$ -Δu+\varepsilon u=(I_α\ast |u|^{p})|u|^{p-2}u+ |u|^{q-2}u \quad {\rm in} \ \m…
math.AP2023
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}…