arxiv:1501.01110

Schrödinger-Poisson systems with a general critical nonlinearity

Published on Jan 6, 2015

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Abstract

We consider a Schr\"odinger-Poisson system involving a general nonlinearity at critical growth and we prove the existence of positive solutions. The Ambrosetti-Rabinowitz condition is not required. We also study the asymptotics of solutions with respect to a parameter.

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