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arXiv · 1501.01110

Schr\"odinger-Poisson systems with a general critical nonlinearity

Jianjun Zhang·João Marcos do Ó·Marco Squassina
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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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Jianjun Zhang, João Marcos do Ó, Marco Squassina. 2015-01-06. Schr\"odinger-Poisson systems with a general critical nonlinearity. https://arxiv.org/abs/1501.01110

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