Schr\"odinger-Poisson systems with a general critical nonlinearity
classification
🧮 math.AP
keywords
criticalgeneralnonlinearityodinger-poissonschrsolutionsambrosetti-rabinowitzasymptotics
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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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