INFINITELY MANY POSITIVE SOLUTIONS FOR SCHRODINGER-POISSON SYSTEMS WITH NONSYMMETRY POTENTIALS

The present paper deals with a class of Schrdinger-poisson system. Under some suitable assumptions on the decay rate of the coefficients, we derive the existence of infinitely many positive solutions to the problem by using purely variational methods. Comparing to the previous works, we encounter some new challenges because of nonlocal term. By doing some delicate estimates for the nonlocal term we overcome the difficulty and find infinitely many positive solutions.

Automated summary

The present paper discusses the existence of infinitely many positive solutions in a class of Schrdinger-poisson system, by making suitable assumptions on the decay rate of coefficients and using purely variational methods. Challenges arising from the nonlocal term are overcome through delicate estimates, leading to the discovery of infinitely many positive solutions.