Pohožaev-type ground state solutions for Choquard equation with singular potential and critical exponent
DOI:
https://doi.org/10.12775/TMNA.2021.052Keywords
Choquard equation, Lions-type theorem, Singular potential, Pohožaev-type ground state solution, Critical exponentAbstract
In this paper, we are concerned with the existence of Pohožaev-type ground state solutions for the Choquard equation with a singular potential and a critical exponent. By virtue of a generalized version of the Lions-type theorem and the Pohožaev manifold, we obtain the existence of a Pohožaev-type ground state solution for the above problem. Some recent results from the literature are improved and extended.References
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