2024 : 5 : 31

Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system
Type
JournalPaper
Keywords
Schrödinger-Maxwell system
Year
2022
Journal Mathematics Interdisciplinary Research
DOI
Researchers Naser Ahmadi ، Mohsen Alimohammady

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,−∆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.