Research output per year
Research output per year
Personal profile
Research Interests
Nonlinear Analysis / Partial differential equations / Free boundary problems / Free discontinuity problems
Personal profile
I joined UNNC in August 2015. Before that I worked for 3 years at Xi’an Jiaotong-Liverpool University in Suzhou (PR China) and for 7 years at Max Planck Institute for Mathematics in the Sciences in Leipzig (Germany).
Expertise Summary
I am an applied mathematician working on non-linear partial differential equations. Of my particular interest are problems with geometric “side effects”, like free boundaries and free discontinuities.
Teaching
Modelling with Differential Equations (MATH2035)
Complex Functions (MATH2036)
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On some nonlocal problems in the calculus of variations
Chipot, M. & Mikayelyan, H., Apr 2022, In: Nonlinear Analysis, Theory, Methods and Applications. 217, 112754.Research output: Journal Publication › Article › peer-review
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Erratum: Cylindrical optimal rearrangement problem leading to a new type obstacle problem (ESAIM - Control, Optimisation and Calculus of Variations (2018) 24 (859-872) DOI: 10.1051/cocv/2017047)
Mikayelyan, H., 11 May 2021, In: ESAIM - Control, Optimisation and Calculus of Variations. 27, 41.Research output: Journal Publication › Article › peer-review
Open Access1 Citation (Scopus) -
Fractional optimal maximization problem and the unstable fractional obstacle problem
Bonder, J. F., Cheng, Z. & Mikayelyan, H., 1 Mar 2021, In: Journal of Mathematical Analysis and Applications. 495, 1, 124686.Research output: Journal Publication › Article › peer-review
1 Citation (Scopus) -
On the L∞-maximization of the solution of Poisson's equation: Brezis-Gallouet-Wainger type inequalities and applications
Harutyunyan, D. & Mikayelyan, H., Feb 2021, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 151, 1, p. 79-92 14 p.Research output: Journal Publication › Article › peer-review
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Optimal rearrangement problem and normalized obstacle problem in the fractional setting
Bonder, J. F., Cheng, Z. & Mikayelyan, H., 1 Jan 2020, In: Advances in Nonlinear Analysis. 9, 1, p. 1592-1606 15 p.Research output: Journal Publication › Article › peer-review
Open AccessFile4 Citations (Scopus)