@article {
author = {Ahmadi, Seyed Nasser and Alimohammady, Mohsen},
title = {Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system},
journal = {Mathematics Interdisciplinary Research},
volume = {7},
number = {2},
pages = {105-129},
year = {2022},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2021.243150.1313},
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.},
keywords = {Biharmonic equations,Kirchhoff-Schrödinger-Maxwell,Cut-off function,Pohozaev identity},
url = {https://mir.kashanu.ac.ir/article_111954.html},
eprint = {https://mir.kashanu.ac.ir/article_111954_5b0eb0fdf8df9d31cc7788bc6a950083.pdf}
}
@article {
author = {Parsian, Ali},
title = {On the Riemann-Stieltjes Integral},
journal = {Mathematics Interdisciplinary Research},
volume = {7},
number = {2},
pages = {131-138},
year = {2022},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2022.243334.1322},
abstract = {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.},
keywords = {Cantor’s intersection theorem,Function of bounded variation,Riemann-Stieltjes integral},
url = {https://mir.kashanu.ac.ir/article_111967.html},
eprint = {https://mir.kashanu.ac.ir/article_111967_38e1e40e7615202c24ada1b09fba3a91.pdf}
}