Hayk Mikayelyan

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Person:663226

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zbMath Open mikayelyan.haykMaRDI QIDQ663226

List of research outcomes

PublicationDate of PublicationType
Fractional Korn's inequalities without boundary conditions2024-02-12Paper
New monotonicity formulas for the curve shortening flow in \(\mathbb{R}^3\)2023-10-06Paper
On the fractional Korn inequality in bounded domains: counterexamples to the case \(ps < 1\)2023-03-02Paper
Some recent results on regularity of the crack-tip/crack-front of Mumford-Shah minimizers2022-11-15Paper
Numerical analysis of a free boundary problem with non-local obstacles2022-10-11Paper
On the fractional Korn inequality in bounded domains: Counterexamples to the case $ps<1$2022-04-03Paper
On some nonlocal problems in the calculus of variations2022-02-11Paper
ERRATUM: Cylindrical optimal rearrangement problem leading to a new type obstacle problem2021-07-07Paper
On theL-maximization of the solution of Poisson's equation: Brezis–Gallouet–Wainger type inequalities and applications2021-03-01Paper
Fractional optimal maximization problem and the unstable fractional obstacle problem2021-02-25Paper
Optimal rearrangement problem and normalized obstacle problem in the fractional setting2020-04-09Paper
Weighted asymptotic Korn and interpolation Korn inequalities with singular weights2019-07-17Paper
Cylindrical optimal rearrangement problem leading to a new type obstacle problem2018-11-07Paper
Stationarity of the crack-front for the Mumford-Shah problem in 3D2018-04-25Paper
Stabilization technique applied to curve shortening flow in the plane2017-09-21Paper
An elliptic optimal control problem and its two relaxations2017-06-22Paper
Short note on energy maximization property of the first eigenfunction of the Laplacian2016-09-05Paper
Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer2016-07-22Paper
Constrained optimal rearrangement problem leading to a new type obstacle problem2016-06-10Paper
A short proof of monotonicity formula for curve shortening flow in 3D2015-12-28Paper
Regularity up to the Crack-Tip for the Mumford-Shah problem2015-12-16Paper
Hopf's lemma for a class of singular/degenerate PDE-s2015-10-20Paper
The zero level set for a certain weak solution, with applications to the Bellman equations2013-07-08Paper
Convexity of the free boundary for an exterior free boundary problem involving the perimeter2013-05-06Paper
The asymptotics of the curvature of the free discontinuity set near the cracktip for the minimizers of the Mumford-Shah functional in the plain2012-04-24Paper
On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem2012-02-14Paper
C 1, α Regularity for Solutions to the p-harmonic Thin Obstacle Problem2011-01-26Paper
Asymptotic summation of operator-valued Volterra symbols2009-04-22Paper
On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem2009-03-09Paper
https://portal.mardi4nfdi.de/entity/Q30255402005-07-15Paper
https://portal.mardi4nfdi.de/entity/Q30251772005-07-12Paper

Research outcomes over time


Doctoral students

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