Least energy solutions for a non-linear Schrödinger system with electromagnetic fields and potential wells.

In this paper, we are concerned with the existence of least energy solutions for the following non-linear Schrödinger system with electromagnetic fields(1)for sufficiently large, whereis the imaginary unit,andforforis the critical Sobolev exponent.andare real continuous functions on,andare real valued electromagnetic vector potentials with each componentare locally Hölder continuous. By using variational methods, we prove the existence of least energy solutionofwhich localizes near the potential wellforlarge enough. [ABSTRACT FROM PUBLISHER]