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Positive solutions for Schrödinger–Poisson equations with a critical exponent |
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| Authors: | Leiga Zhao Fukun Zhao |
| Institution: | 1. Academy of Mathematics and System Science, Academia Sinica, Beijing 100080, PR China;2. Department of Mathematics, Yunnan Normal University, Kunming 650092, PR China |
| Abstract: | In this paper we establish the existence of a positive solution of the Schrödinger–Poisson equations with a critical Sobolev exponent. The methods used here are based on the concentration–compactness principle of P. L. Lions and methods of Brezis and Nirenberg. |
| Keywords: | Variational methods Concentration&ndash compactness principle Critical growth Pohoz?aev identity |
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