Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system
Seyed Nasser
Ahmadi
Department of Mathematics,
University of Mazandaran,
Babolsar, Iran
author
Mohsen
Alimohammady
Department of Mathematics,
University of Mazandaran,
Babolsar, Iran
author
text
article
2022
eng
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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
7
v.
2
no.
2022
105
129
https://mir.kashanu.ac.ir/article_111954_5b0eb0fdf8df9d31cc7788bc6a950083.pdf
dx.doi.org/10.22052/mir.2021.243150.1313
On the Riemann-Stieltjes Integral
Ali
Parsian
Department of Mathematics,
Tafresh University,
Tafresh, 39518-79611, I. R. Iran
author
text
article
2022
eng
This study contributes to the theory of Riemann-Stieltjes integral. We prove that if all continuous piecewise linear functions are Riemann-Stieltjes integrable with respect to a bounded integrator α : [a,b] → R, then α must be of bounded variation on [a,b]. We also provide some other consequences.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
7
v.
2
no.
2022
131
138
https://mir.kashanu.ac.ir/article_111967_38e1e40e7615202c24ada1b09fba3a91.pdf
dx.doi.org/10.22052/mir.2022.243334.1322