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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}…