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Schrödinger-Poisson system with concave-convex nonlinearities

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We consider a class of the Schrodinger-Poisson system with concave-convex nonlinearities. Under some suitable assumptions, we prove the existence of nontrivial solutions and infinitely many negative energy solutions by using… Click to show full abstract

We consider a class of the Schrodinger-Poisson system with concave-convex nonlinearities. Under some suitable assumptions, we prove the existence of nontrivial solutions and infinitely many negative energy solutions by using the variational method and making accurate analysis on the combined effect of parameters μ and λ. Our results extend that in the related works.We consider a class of the Schrodinger-Poisson system with concave-convex nonlinearities. Under some suitable assumptions, we prove the existence of nontrivial solutions and infinitely many negative energy solutions by using the variational method and making accurate analysis on the combined effect of parameters μ and λ. Our results extend that in the related works.

Keywords: poisson system; concave convex; system concave; convex nonlinearities

Journal Title: Journal of Mathematical Physics
Year Published: 2019

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