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arXiv · 1812.05761

Groundstates for Choquard equations with the upper critical exponent

Xinfu Li·Shiwang Ma
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Abstract

In this paper, an autonomous Choquard equation with the upper critical exponent is considered. By using the Poho\v{z}aev constraint method, the subcritical approximation method and the compactness lemma of Strauss, a groundstate solution in $H^1(\mathbb{R}^N)$ which is positive and radially symmetric is obtained. The result here extends and complements the earlier theorems.

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Xinfu Li, Shiwang Ma. 2018-12-14. Groundstates for Choquard equations with the upper critical exponent. https://arxiv.org/abs/1812.05761

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