Schrödinger-Poisson systems with a general critical nonlinearity

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.

13 pages, typos corrected

References in corpus (3)

• Ground state solutions to the nonlinear Schrodinger-Maxwell equations
• On the Schrodinger-Maxwell equations under the effect of a general nonlinear term
• Schrodinger-Poisson system with steep potential well

Cited by in corpus (3)

• Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity
• Fractional Schrodinger-Poisson Equations With General Nonlinearities
• Ground states of nonlinear fractional Schrödinger equation involving critical growth