2024 : 6 : 25
Morteza Koozehgar Kalleji

Morteza Koozehgar Kalleji

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-7052-7241
Education: PhD.
ScopusId: 55803631900
Faculty: Science
Address: Arak University
Phone:

Research

Title
Existence and regularity results for a degenerate elliptic nonlinear equation on weighted Sobolev spaces
Type
JournalPaper
Keywords
Degenerate elliptic equation, Nonlinear eigenvalue problem, Variational methods
Year
2023
Journal Quaestiones Mathematicae
DOI
Researchers mohsen Alimohammady ، carlo cattani ، Morteza Koozehgar Kalleji

Abstract

This paper deals with the existence of many solutions a degenerate weighted elliptic equation which its the number of solutions depend on degeneracy term a i.e., the number of subdomains of n a􀀀1(0) whose boundary is made by submanifolds with 1-codimension. Moreover, by the Ljusternik-Schnirelman principle, we would study the corresponding eigenvalue problem and obtained the nonnegative eigenvalues sequence of main problem. Finally, we will discuss of the regularity of the solutions on C1; ( ):