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math.AP2018★ 1 cited
Groundstates for Choquard equations with the upper critical exponent
Xinfu Li, Shiwang Ma
In this paper, an autonomous Choquard equation with the upper critical exponent is considered. By using the Pohožaev constraint method, the subcritical approximation method and the…
math.AP2018★ 68 cited
Choquard equations with critical nonlinearities
Xinfu Li, Shiwang Ma
In this paper, we study the Brezis-Nirenberg type problem for Choquard equations in \begin{equation*} -Δu+u=(I_α\ast|u|^{p})|u|^{p-2}u+λ|u|^{q-2}u \quad \mathrm{in}\…