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Bozhidar Velichkov - MaRDI portal

Bozhidar Velichkov

From MaRDI portal
Person:245893

Available identifiers

zbMath Open velichkov.bozhidarWikidataQ85888568 ScholiaQ85888568MaRDI QIDQ245893

List of research outcomes

PublicationDate of PublicationType
The boundary Harnack principle on optimal domains2024-04-18Paper
The symmetric (log-)epiperimetric inequality and a decay-growth estimate2024-01-02Paper
Epsilon-regularity for the solutions of a free boundary system2023-10-26Paper
A capillarity one-phase Bernoulli free boundary problem2023-10-22Paper
On the dimension of the singular set in optimization problems with measure constraint2023-10-10Paper
Regularity for one-phase Bernoulli problems with discontinuous weights and applications2023-09-17Paper
A one-sided two phase Bernoulli free boundary problem2023-09-04Paper
Regularity of the optimal sets for the second Dirichlet eigenvalue2023-03-17Paper
Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality2023-01-17Paper
Regularity of the optimal sets for a class of integral shape functionals2022-12-18Paper
Regularity of the One-phase Free Boundaries2022-09-07Paper
On the logarithmic epiperimetric inequality for the obstacle problem2022-08-25Paper
A strong maximum principle for minimizers of the one-phase Bernoulli problem2022-05-01Paper
Free boundary cluster with Robin condition on the transmission Interface2022-04-01Paper
Numerical computation of the cut locus via a variational approximation of the distance function2022-02-21Paper
Shape optimization problems in control form2022-02-15Paper
Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem2021-11-12Paper
(Quasi-)conformal methods in two-dimensional free boundary problems2021-10-26Paper
Regularity of the free boundary for the two-phase Bernoulli problem2021-08-27Paper
Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries2021-07-26Paper
A two-phase problem with Robin conditions on the free boundary2020-12-04Paper
On the asymptotic behavior of the solutions to parabolic variational inequalities2020-11-02Paper
Regularity of the optimal sets for the second Dirichlet eigenvalue2020-10-01Paper
Uniqueness of the blowup at isolated singularities for the Alt-Caffarelli functional2020-08-03Paper
Regularity of the free boundary for the vectorial Bernoulli problem2020-04-17Paper
Direct Epiperimetric Inequalities for the Thin Obstacle Problem and Applications2020-02-14Paper
Free boundary regularity for a multiphase shape optimization problem2020-01-13Paper
Existence and regularity of optimal shapes for elliptic operators with drift2019-11-07Paper
A logarithmic epiperimetric inequality for the obstacle problem2019-09-11Paper
Numerical calibration of Steiner trees2019-03-27Paper
An Epiperimetric Inequality for the Regularity of Some Free Boundary Problems: The 2‐Dimensional Case2019-03-19Paper
(Log-)epiperimetric inequality and regularity over smooth cones for almost area-minimizing currents2019-03-12Paper
Optimal potentials for problems with changing sign data2019-03-06Paper
Serrin-type theorems for triangles2019-02-12Paper
On the honeycomb conjecture for a class of minimal convex partitions2018-08-15Paper
A Shape Optimal Control Problem with Changing Sign Data2018-05-16Paper
Regularity of minimizers of shape optimization problems involving perimeter2017-12-13Paper
9 Spectral optimization problems for Schrödinger operators2017-09-01Paper
Regularity of the optimal sets for some spectral functionals2017-05-19Paper
Worst-case shape optimization for the Dirichlet energy2017-03-17Paper
A free boundary approach to shape optimization problems2017-01-13Paper
The spectral drop problem2016-09-02Paper
\(BV\) estimates in optimal transportation and applications2016-02-25Paper
A free boundary problem arising in PDE optimization2016-02-22Paper
A Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results2016-02-11Paper
Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity2016-01-25Paper
Faber-Krahn inequalities in sharp quantitative form2015-07-27Paper
Multiphase Shape Optimization Problems2015-03-27Paper
Lipschitz regularity of the eigenfunctions on optimal domains2015-03-11Paper
Existence and Regularity Results for Some Shape Optimization Problems2015-03-09Paper
Optimal potentials for Schrödinger operators2015-01-23Paper
Spectral Optimization Problems for Potentials and Measures2014-11-04Paper
Existence and regularity of minimizers for some spectral functionals with perimeter constraint2014-09-18Paper
A note on the monotonicity formula of Caffarelli-Jerison-Kenig2014-07-28Paper
Some new problems in spectral optimization2014-06-30Paper
Spectral optimization problems with internal constraint2014-05-14Paper
Shape optimization problems for metric graphs2014-03-24Paper
Shape optimization problems on metric measure spaces2013-01-18Paper
Decay Estimates for the Supercritical 3-D Schrödinger Equation with Rapidly Decreasing Potential2013-01-02Paper

Research outcomes over time


Doctoral students

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