Critical gauged Schrödinger equations in R^2 with vanishing potentials
arXiv:2110.14260
Abstract
We study a class of gauged nonlinear Schrödinger equations in the plane. We obtain existence of two nontrivial solutions via the Mountain-Pass theorem and Ekeland's variational principle. Moreover, we prove existence of infinitely many solutions for odd nonlinearities.
22 pages, minor revision, accepted in DCDS-A