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Semi-Fredholmness on a weighted geometric realization of 2-simplexes and 3- simplexes | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 14، شماره 10، دی 2023، صفحه 19-34 اصل مقاله (427.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.26602.3363 | ||
| نویسندگان | ||
| Azeddine Baalal1؛ Khalid Hatim* 2 | ||
| 1Laboratoire de Mathematiques Fondamentales et Appliquees, Departement de Mathematiques et Informatique, Faculte des Sciences Ain Chock, Universite Hassan II de Casablanca, Morocco | ||
| 2Laboratoire de Mathematiques Fondamentales et Appliquees, Faculte des Sciences Ain Chock, Universite Hassan II de Casablanca, Morocco | ||
| تاریخ دریافت: 23 اسفند 1400، تاریخ بازنگری: 30 فروردین 1402، تاریخ پذیرش: 07 خرداد 1402 | ||
| چکیده | ||
| In this present article, we introduce the notion of oriented $2$-simplexes and the notion of oriented $3$-simplexes and we use them to create a new framework that we call a weighted geometric realization of $2$-simplexes and $3$-simplexes. Next, we define the weighted geometric realization Gauss-Bonnet operator $L$. After that, we present and study the non-parabolicity at the infinity of $L$. Finally, we develop general conditions to ensure semi-Fredholmness of $L$ based on its non-parabolicity at infinity. | ||
| کلیدواژهها | ||
| Weighted geometric realization of 2-simplexes and 3-simplexes؛ weighted geometric realization Gauss-Bonnet operator؛ non-parabolicity at infinity؛ semi-Fredholmness | ||
| مراجع | ||
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