GROUND STATE SOLUTIONS FOR A CLASS OF CRITICAL FRACTIONAL SCHR?DINGER-POISSON SYSTEM WITH STEEP POTENTIAL WELL
In this paper we study the ground state solutions for a class of critical fractional Schrödinger-Poisson system.Since the minimum value of the energy functional is greater than zero,which can not be easily obtained by variational method,thus,the Pohozaev type identity and the Nehari-Pohozaev-Palais-Smale sequence are constructed to overcome this difficulty.Under suitable assumptions for nonlinear terms f and parameters,by the variational methods,the existence of the ground states solutions is obtained.
ground state solutionsvariational methodscritical growthsteep potential wellfractional Schrödinger-Poisson system
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