Title of article :
Existence Solution of a Biharmonic-Type Kirchhoff-Schrödinger-Maxwell System
Author/Authors :
Ahmadi, Nasser Department of Mathematics - University of Mazandaran - Babolsar, Iran , Alimohammady, Mohsen Department of Mathematics - University of Mazandaran - Babolsar, Iran
Abstract :
This article addresses the following biharmonic type of the Kirchhoff-Schrödinger-Maxwell system;
∆2 w − (a1 +b1∫RN |∇w| 2 )∆w + ηψw = q(w) in RN,
(bKSM)
−∆ψ = ηw2 in RN,
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 :
Biharmonic equations , Kirchhoff-Schrödinger-Maxwell , cut-off function , Pohozaev identity
Journal title :
Mathematics Interdisciplinary Research
