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Ghasem Alizadeh Afrouzi

Ghasem Alizadeh Afrouzi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302463

Research

Title
Critical Point Approaches to Generalized Yamabe Equations on Riemannian Manifolds and Applications to Emden–Fowler Problems
Type
JournalPaper
Keywords
Multiple solutions, Generalized Yamabe equations, Riemannian manifold, Emden–Fowler problems, Variational methods, Critical point theory.
Year
2020
Journal bulletin of the iranian mathematical society
DOI
Researchers Amjad Salari ، Ghasem Alizadeh Afrouzi ، David Barilla

Abstract

In this work, we continue the study of the multiplicity results for generalized Yamabe equations on Riemannian manifolds arising from conformal Riemannian geometry, astrophysics, and in the theories of thermionic emission, isothermal stationary gas sphere, and gas combustion. As applications,we consider theEmden–Fowler equations involving sublinear terms at infinity. In fact, employing two critical point theorems, we guarantee the existence of two and three solutions for our problem (413).