Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system

Document Type : Original Scientific Paper

Authors

Department of Mathematics, University of Mazandaran, Babolsar, Iran

10.22052/mir.2021.243150.1313

Abstract

This article addresses the following biharmonic type of the Kirchhoff-Schrödinger-Maxwell system;
2 w − (a1 +b1RN |∇w| 2 )∆w + ηψw = q(w)           in RN,
−∆ψ = ηw2                                                                                in RN, (bKSM)
in which a1 ,b1 and η are fixed positive numbers and q is a continuous real valued function in R. We are going to prove the existence solution for this system via variational methods, delicate cut-off technique and Pohozaev identity.

Keywords


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