Schrödinger-Poisson systems with a general critical nonlinearity

2015/01/06 by Jianjun Zhang, Zhang, Jianjun, João Marcos do Ó +3
Mathematics · #35B25 #35B33 #35J61 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B25 #msc:35B33 #msc:35J61

paper · pdf · doi:10.48550/arxiv.1501.01110

13 pages, typos corrected

arxiv created 2015/12/13 · arxiv updated 2015/12/15

Abstract

We consider a Schrödinger-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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