Find Research outputs

2024

Optimization of the shape for a non-local control problem

Cheng, Z. & Mikayelyan, H., Oct 2024, In: Fractional Calculus and Applied Analysis. 27, 5, p. 2482-2501 20 p.

Research output: Journal Publication › Article › peer-review

2023

FRACTIONAL KORN’S INEQUALITIES WITHOUT BOUNDARY CONDITIONS

Harutyunyan, D., Mengesha, T., Mikayelyan, H. & Scott, J. M., 2023, In: Mathematics and Mechanics of Complex Systems. 11, 4, p. 497-524 28 p.

Research output: Journal Publication › Article › peer-review

Open Access

1 Citation (Scopus)

New monotonicity formulas for the curve shortening flow in R³

Mikayelyan, H., Dec 2023, In: Annali di Matematica Pura ed Applicata. 202, 6, p. 2985-3004 20 p.

Research output: Journal Publication › Article › peer-review

Numerical analysis of a free boundary problem with non-local obstacles

Li, Z. & Mikayelyan, H., Jan 2023, In: Applied Mathematics Letters. 135, 108414.

Research output: Journal Publication › Article › peer-review

1 Citation (Scopus)

On the fractional Korn inequality in bounded domains: Counterexamples to the case ps < 1

Harutyunyan, D. & Mikayelyan, H., 27 Feb 2023, In: Advances in Nonlinear Analysis. 12, 1, 20220283.

Research output: Journal Publication › Article › peer-review

Open Access

1 Citation (Scopus)

2022

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

2 Citations (Scopus)

2021

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 Access

2 Citations (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

Open Access

3 Citations (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

1 Citation (Scopus)

2020

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 Access

File

7 Citations (Scopus)

54 Downloads (Pure)

Some recent results on regularity of the crack-tip / crack-front of the Mumford-Shah minimizers

Mikayelyan, H., Aug 2020, Mathematical Analysis of Continuum Mechanics and Industrial Applications III : Proceedings of the International Conference CoMFoS18. Itou, H., Hirano, S., Kimura, M., Kovtunenko, V. A. & Khludnev, A. M. (eds.). Singapore: Springer, p. 23-33 11 p. (Mathematics for Industry; vol. 34).

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

2019

Weighted asymptotic korn and interpolation korn inequalities with singular weights

Harutyunyan, D. & Mikayelyan, H., 2019, In: Proceedings of the American Mathematical Society. 147, 8, p. 3635-3647 13 p.

Research output: Journal Publication › Article › peer-review

Open Access

1 Citation (Scopus)

2018

Cylindrical optimal rearrangement problem leading to a new type obstacle problem

Mikayelyan, H., 1 Apr 2018, In: ESAIM - Control, Optimisation and Calculus of Variations. 24, 2, p. 859-872 14 p.

Research output: Journal Publication › Article › peer-review

Open Access

5 Citations (Scopus)

Stationarity of the crack-front for the Mumford–Shah problem in 3D

Lemenant, A. & Mikayelyan, H., 15 Jun 2018, In: Journal of Mathematical Analysis and Applications. 462, 2, p. 1555-1569 15 p.

Research output: Journal Publication › Article › peer-review

Open Access

2017

An Elliptic Optimal Control Problem and its Two Relaxations

Emamizadeh, B., Farjudian, A. & Mikayelyan, H., 1 Feb 2017, In: Journal of Optimization Theory and Applications. 172, 2, p. 455-465 11 p.

Research output: Journal Publication › Article › peer-review

Open Access

File

1 Citation (Scopus)

52 Downloads (Pure)

Stabilization technique applied to curve shortening flow in the plane

Mikayelyan, H., Jul 2017, In: Journal of Mathematical Sciences. 224, 3, p. 442-447 6 p.

Research output: Journal Publication › Article › peer-review

1 Citation (Scopus)

2016

Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer

Li, Z. & Mikayelyan, H., 2016, In: Interfaces and Free Boundaries. 18, 1, p. 75-90 16 p.

Research output: Journal Publication › Article › peer-review

Open Access

2015

Hopf's lemma for a class of singular/degenerate PDE-S

Mikayelyan, H. & Shahgholian, H., 2015, In: Annales Academiae Scientiarum Fennicae Mathematica. 40, 1, p. 475-484 10 p.

Research output: Journal Publication › Article › peer-review

Open Access

10 Citations (Scopus)

2013

Convexity of the free boundary for an exterior free boundary problem involving the perimeter

Mikayelyan, H. & Shahgholian, H., May 2013, In: Communications on Pure and Applied Analysis. 12, 3, p. 1431-1443 13 p.

Research output: Journal Publication › Article › peer-review

Open Access

1 Citation (Scopus)

The zero level set for a certain weak solution, with applications to the bellman equations

Andersson, J. & Mikayelyan, H., 2013, In: Transactions of the American Mathematical Society. 365, 5, p. 2297-2316 20 p.

Research output: Journal Publication › Article › peer-review

Open Access

8 Citations (Scopus)

2012

On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem

Andersson, J. & Mikayelyan, H., Feb 2012, In: Mathematische Annalen. 352, 2, p. 357-372 16 p.

Research output: Journal Publication › Article › peer-review

1 Citation (Scopus)

2011

C^1,α Regularity for solutions to the p-harmonic thin obstacle problem

Andersson, J. & Mikayelyan, H., 1 Jan 2011, In: International Mathematics Research Notices. 2011, 1, p. 119-134 16 p.

Research output: Journal Publication › Article › peer-review

Open Access

3 Citations (Scopus)

2006

On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem

Andersson, J., Matevosyan, N. & Mikayelyan, H., Apr 2006, In: Arkiv for Matematik. 44, 1, p. 1-15 15 p.

Research output: Journal Publication › Article › peer-review

Open Access

9 Citations (Scopus)

2005

Example of an ∞-harmonic function which is not C² on a dense subset

Mikayelyan, H., 5 Feb 2005, In: Electronic Journal of Differential Equations. 2005, p. 1-5 5 p.

Research output: Journal Publication › Article › peer-review

2004

On the asymptotic completeness of the Volterra calculus

Ponge, R. & Mikayelyan, H., 2004, In: Journal d'Analyse Mathematique. 94, p. 249-263 15 p.

Research output: Journal Publication › Review article › peer-review

2 Citations (Scopus)

2002

Asymptotic summation of operator-valued Volterra symbols

Mikayelyan, H., 2002, In: Journal of Contemporary Mathematical Analysis. 37, 3, p. 76-80 5 p.

Research output: Journal Publication › Article › peer-review

1999

Unconditional and absolute almost everywhere convergence of series by the general Franklin system

Mikayelyan, H. & Gevorkian, G., 1999, In: Journal of Contemporary Mathematical Analysis. 34, 3, p. 10-25 16 p.

Research output: Journal Publication › Article › peer-review

1998

Weyl multipliers for unconditional convergence of series by a general Franklin system

Mikayelyan, H., 1998, In: Journal of Contemporary Mathematical Analysis. 33, 6, p. 76-80 5 p.

Research output: Journal Publication › Article › peer-review

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