2024 : 7 : 15

Mohsen Alimohammady

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

Research

Title
Existence and regularity results for a degenerate elliptic nonlinear equation on weighted Sobolev spaces
Type
JournalPaper
Keywords
elliptic nonlinear equation
Year
2022
Journal Research Square.
DOI
Researchers Mohsen Alimohammady ، Carlo Cattani ، Morteza Koozehgar

Abstract

This paper deals with the existence of many solutions a degenerateweighted elliptic equation which its the number of solutions dependon degeneracy term ie, the number of subdomains of whose boundary is made by submanifoldswith 1-codimension. Moreover, by the Ljusternik–-Schnirelmanprinciple, we would study the corresponding eigenvalue problem andobtained the nonnegative eigenvalues sequence of main problem. Finally, we will discuss of the regularity of the solutions on