Existence of a ground state solution for Choquard equations involving critical Sobolev exponents
Volume 122 / 2019
Annales Polonici Mathematici 122 (2019), 165-179
MSC: Primary 35A15, 35J61; Secondary 35B09, 35D30, 35B33.
DOI: 10.4064/ap180204-23-11
Published online: 26 April 2019
Abstract
We consider the Choquard equation where N\geq 3, \alpha\in (0,N), I_\alpha is the Riesz potential and F(s)=\int_{0}^{s}f(t)\,dt. If f satisfies the general subcritical growth conditions, we obtain the existence of a positive ground state solution by a variational method.
