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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
MULTIPLE SOLUTIONS FOR A CLASS OF NONHOMOGENEOUS SEMILINEAR EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENT
Type
JournalPaper
Keywords
Semilinear equations, degenerate differential operator, partial differential equation on manifold.
Year
2019
Journal proceeding of the American mathematical Society
DOI
Researchers Morteza Koozehgar Kalleji ، mohsen Alimohammady ، Aliasghar jafary

Abstract

In this paper, we deal with the study of a class of semilinear and nonhomogeneous Schr¨odinger equations on a manifold with conical singularity. We provide a suitable constant by Sobolev embedding constant and the critical cone Sobolev exponent with respect to the nonhomogeneous term Our approach improves on and generalizes the previous results in [Indian J. Pure Appl. Math. 48 (2017), pp. 133–146] and [Ann. Global Anal. Geom. 39 (2011), pp. 27–43].