Existence of semiclassical ground state solutions for a generalized Choquard equation

163 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Singularly perturbed critical Choquard equations (2016, methodology): “In [4, 5], Alves and Yang proved the existence, multiplicity and concentration of solutions for the equation by penalization method and Lusternik-Schnirelmann theory.”
The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation (2016, background): “For other related results, we refer the readers to [14, 17] for the existence of sign-changing solutions, [4, 5, 27, 32, 36, 39] for the existence and concentration behavior of the semiclassical solutions.”
On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents (2016, methodology): “We refer the readers to [1, 10] for the strongly indefinite case with sign-changing periodic potential V , where the existence of ground state solutions and infinitely many geometrically distinct weak solutions were obtained by critical point theorem; [39] for the existence of ground states under th”