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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
The bifurcation diagram of an elliptic P-Kirchhoff-type problem with respect to the stiffness of the material
Type
JournalPaper
Keywords
Nehari Manifold, Variational methods, Extremal parameter, p-Kirchhoff, Young's modulus, Stiffness.
Year
2022
Journal international journal of nonlinear analysis and applications
DOI
Researchers Hava Fani ، Ghasem Alizadeh Afrouzi ، hashem rasouli

Abstract

We study a superlinear and subcritical p-Kirchhoff-type problem which is variational and depends upon a real parameter $lambda$. The nonlocal term forces some of the ber maps associated with the energy functional to have two critical points. This suggests multiplicity of solutions, and indeed, we show the existence of a local minimum and a mountain pass-type solution (435).