V. Lotoreichik

发表

On resonances and bound states of Smilansky Hamiltonian

P. Exner, V. Lotoreichik, M. Tater, 2016, 1607.00540.

On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter

Ayman Kachmar, V. Lotoreichik, 2021, The Journal of Geometric Analysis.

Trace Hardy inequality for the Euclidean space with a cut and its applications

M. Dauge, V. Lotoreichik, M. Jex, 2020, 2011.14712.

Self-adjointness of the 2D Dirac Operator with Singular Interactions Supported on Star Graphs

V. Lotoreichik, Dale Frymark, 2021, Annales Henri Poincaré.

An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain

V. Lotoreichik, 2022, 2206.11537.

Quasi-conical domains with embedded eigenvalues

D. Krejčiřík, V. Lotoreichik, 2022, 2205.08172.

An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain

V. Lotoreichik, 2022, Journal of Differential Equations.

Trace Hardy inequality for the Euclidean space with a cut and its applications

M. Dauge, V. Lotoreichik, M. Jex, 2020, Journal of Mathematical Analysis and Applications.

On the Bound States of Schr\"odinger Operators with $\delta$-interactions on Conical Surfaces

V. Lotoreichik, T. Ourmières-Bonafos, 2015, 1510.05623.

Spectral optimization for Robin Laplacian on domains admitting parallel coordinates

P. Exner, V. Lotoreichik, 2020, Mathematische Nachrichten.

Spectral optimization for Robin Laplacian in domains without cut loci

P. Exner, V. Lotoreichik, 2020, 2001.02718.

Convergence of 2D‐Schrödinger operators with local scaled short‐range interactions to a Hamiltonian with infinitely many δ‐point interactions

J. Behrndt, M. Holzmann, V. Lotoreichik, 2014 .

Spectral analysis of the Kronig-Penney model with Wigner-von Neumann perturbations

V. Lotoreichik, S. Simonov, 2011 .

Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations

V. Lotoreichik, S. Simonov, 2011, 1112.4717.

Bound states of weakly deformed soft waveguides

P. Exner, V. Lotoreichik, S. Kondej, 2022, 2211.01989.

Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer

V. Lotoreichik, Pavel Exner, 2020, Integral Equations and Operator Theory.

Spectral analysis of the multidimensional diffusion operator with random jumps from the boundary

D. Krejčiřík, Konstantin Pankrashkin, V. Lotoreichik, 2021, Journal of Evolution Equations.

Spectral Estimates for Resolvent Differences of Self-Adjoint Elliptic Operators

M. Langer, J. Behrndt, V. Lotoreichik, 2013, Integral Equations and Operator Theory.

Schrödinger Operators with δ and δ′-Potentials Supported on Hypersurfaces

M. Langer, J. Behrndt, V. Lotoreichik, 2012, Annales Henri Poincaré.

A Sharp Upper Bound on the Spectral Gap for Graphene Quantum Dots

V. Lotoreichik, T. Ourmières-Bonafos, 2019, Mathematical Physics, Analysis and Geometry.

Optimisation of the Lowest Robin Eigenvalue in the Exterior of a Compact Set, II: Non-Convex Domains and Higher Dimensions

D. Krejčiřík, V. Lotoreichik, 2019, Potential Analysis.

On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter

Ayman Kachmar, V. Lotoreichik, 2022, The Journal of Geometric Analysis.

Approximation of Schrödinger operators with δ‐interactions supported on hypersurfaces

P. Exner, J. Behrndt, M. Holzmann, 2015, 1512.08658.

Spectral Estimates for Resolvent Differences of Self-Adjoint Elliptic Operators

M. Langer, J. Behrndt, V. Lotoreichik, 2010, Integral Equations and Operator Theory.

On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2

V. Lotoreichik, M. Jex, 2015, 1508.04577.

An Eigenvalue Inequality for Schrödinger Operators with δ- and δ’-interactions Supported on Hypersurfaces

V. Lotoreichik, Jonathan Rohleder, 2015 .

An eigenvalue inequality for Schr\"odinger operators with $\delta$ and $\delta'$-interactions supported on hypersurfaces

V. Lotoreichik, Jonathan Rohleder, 2014, 1407.5539.

Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions

P. Exner, J. Behrndt, V. Lotoreichik, 2013, 1307.0074.

Spectral Theory for Schrödinger Operators with $$\varvec{\delta }$$δ-Interactions Supported on Curves in $$\varvec{\mathbb {R}^3}$$R3

R. Frank, J. Behrndt, V. Lotoreichik, 2016, 1601.06433.

The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics

M. Znojil, D. Krejčiřík, V. Lotoreichik, 2018, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

NOTE ON 2D SCHRÖDINGER OPERATORS WITH δ-INTERACTIONS ON ANGLES AND CROSSING LINES

V. Lotoreichik, 2013 .

Note on 2D Schr\"odinger operators with delta-interactions on angles and crossing lines

V. Lotoreichik, 2013, 1303.6095.

Schrödinger operators with δ-interactions supported on conical surfaces

P. Exner, J. Behrndt, V. Lotoreichik, 2014, 1404.1764.

Spectral analysis of photonic crystals made of thin rods

Markus Holzmann, Vladimir Lotoreichik, M. Holzmann, 2017, Asymptot. Anal..

Schrödinger Operators with δ and δ′-Potentials Supported on Hypersurfaces

M. Langer, J. Behrndt, V. Lotoreichik, 2012, 1210.4709.

Schatten-von Neumann Estimates for Resolvent Differences of Robin Laplacians on a Half-space

V. Lotoreichik, Jonathan Rohleder, 2011, 1108.5538.

Trace formulae and singular values of resolvent power differences of self‐adjoint elliptic operators

Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, 2013, J. Lond. Math. Soc..

Behrndt, Jussi and Langer, Matthias and Lotoreichik, Vladimir (2013) Trace formulae and singular values of resolvent power differences

M. Langer, V. Lotoreichik, 2018 .

On the spectral properties of Dirac operators with electrostatic δ-shell interactions

P. Exner, J. Behrndt, M. Holzmann, 2016, 1609.00608.

Approximation of point perturbations on finite set of Laplace-Beltrami operator on Riemannian manifold

I. Lobanov, V. Lotoreichik, 2008 .

Asymptotics of resonances induced by point interactions

J. Lipovský, V. Lotoreichik, 2017, 1708.03509.

On Dirac operators in R 3 with electrostatic and Lorentz scalar δ -shell interactions

P. Exner, J. Behrndt, M. Holzmann, 2019 .

Optimization of the lowest eigenvalue for leaky star graphs

P. Exner, V. Lotoreichik, 2017, 1701.06840.

A spectral isoperimetric inequality for cones

P. Exner, V. Lotoreichik, Vladimir Lotoreichik, 2016, Letters in Mathematical Physics.

A spectral isoperimetric inequality for cones

P. Exner, V. Lotoreichik, 2015, 1512.01970.

Eigenvalue inequalities for the Laplacian with mixed boundary conditions

Vladimir Lotoreichik, Jonathan Rohleder, V. Lotoreichik, 2016, 1609.02890.

The Landau Hamiltonian with δ-potentials supported on curves

P. Exner, J. Behrndt, M. Holzmann, 2018, Reviews in Mathematical Physics.

Spectral enclosures for non-self-adjoint extensions of symmetric operators

M. Langer, J. Behrndt, V. Lotoreichik, 2017, Journal of Functional Analysis.

The fate of Landau levels under $\delta$-interactions

Jussi Behrndt, Markus Holzmann, Vladimir Lotoreichik, 2021, Journal of Spectral Theory.

Quasi boundary triples and semi-bounded self-adjoint extensions

M. Langer, J. Behrndt, V. Lotoreichik, 2015, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Spectral analysis of the Dirac operator with a singular interaction on a broken line

V. Lotoreichik, Dale Frymark, Markus Holzmann, 2023, 2306.04976.

General $\delta$-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

Vladimir Lotoreichik, Albert Mas, Biagio Cassano, 2021, Revista Matemática Iberoamericana.

Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones

V. Lotoreichik, Magda Khalile, 2019, Journal of Spectral Theory.

A spectral isoperimetric inequality for Robin Laplacians on 2-manifolds and applications

V. Lotoreichik, Magda Khalile, 2019 .

Schr\"odinger operators with $\delta$-potentials supported on unbounded Lipschitz hypersurfaces

P. Schlosser, J. Behrndt, V. Lotoreichik, 2021, 2105.05579.

A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains

M. Langer, I. Popov, J. Behrndt, 2009, 0911.2443.

A Variational Formulation for Dirac Operators in Bounded Domains. Applications to Spectral Geometric Inequalities

Pedro R. S. Antunes, PEDRO R. S. ANTUNES, RAFAEL D. BENGURIA, 2020, Communications in Mathematical Physics.

Spectral asymptotics for resolvent differences of elliptic operators with $\delta$ and $\delta^\prime$-interactions on hypersurfaces

G. Grubb, M. Langer, J. Behrndt, 2014, 1404.2791.

Behrndt, Jussi and Grubb, Gerd and Langer, Matthias and Lotoreichik, Vladimir (2015) Spectral asymptotics for resolvent differences of elliptic operators

M. Langer, V. Lotoreichik, 2018 .

Isoperimetric inequalities for inner parallel curves

V. Lotoreichik, Charlotte Dietze, Ayman Kachmar, 2023, 2311.18413.

Optimisation of the Lowest Robin Eigenvalue in the Exterior of a Compact Set, II: Non-Convex Domains and Higher Dimensions

D. Krejčiřík, V. Lotoreichik, 2017, Potential Analysis.

Optimisation and monotonicity of the second Robin eigenvalue on a planar exterior domain

D. Krejčiřík, V. Lotoreichik, 2023, 2307.14286.

Improved inequalities between Dirichlet and Neumann eigenvalues of the biharmonic operator

V. Lotoreichik, 2023, 2305.18075.

Spectral analysis of the multidimensional diffusion operator with random jumps from the boundary

D. Krejčiřík, Konstantin Pankrashkin, V. Lotoreichik, 2020, 2006.14392.

Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer

P. Exner, V. Lotoreichik, 2018, Integral Equations and Operator Theory.

Spectra of definite type in waveguide models

P. Siegl, V. Lotoreichik, 2016, 1602.08883.

Behrndt, Jussi and Langer, Matthias and Lotoreichik, Vladimir and Rohleder, Jonathan (2018) Spectral enclosures for non-self-adjoint

M. Langer, J. Behrndt, V. Lotoreichik, 2018 .

A geometric bound on the lowest magnetic Neumann eigenvalue via the torsion function

V. Lotoreichik, Ayman Kachmar, 2023, 2312.06161.

SINGULAR CONTINUOUS SPECTRUM OF HALF-LINE SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS ON A SPARSE SET

V. Lotoreichik, 2010, 1011.2459.

Weakly coupled bound state of 2-D Schrödinger operator with potential-measure

V. Lotoreichik, S. Kondej, 2014, Journal of mathematical analysis and applications.

Trace formulae for Schrödinger operators with singular interactions

M. Langer, J. Behrndt, V. Lotoreichik, 2015, 1512.06551.

Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions

A. Michelangeli, V. Lotoreichik, 2020, Journal of Mathematical Physics.

Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle

T. Vu, D. Krejčiřík, V. Lotoreichik, 2022, Applied Mathematics & Optimization.

Boundary triples for Schrödinger operators with singular interactions on hypersurfaces

M. Langer, J. Behrndt, V. Lotoreichik, 2016 .

Spectral Theory for Schrödinger Operators with δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{\delta }$$\end

R. Frank, J. Behrndt, V. Lotoreichik, 2016, Annales Henri Poincaré.

Behrndt, Jussi and Langer, Matthias and Lotoreichik, Vladimir and Rohleder, Jonathan (2017) Quasi boundary triples and semibounded

M. Langer, V. Lotoreichik, Jonathan Rohleder, 2018 .

δ′-Potentials Supported on Hypersurfaces

M. Langer, J. Behrndt, V. Lotoreichik, 2012 .

Strathprints Institutional Repository Trace Formulae and Singular Values of Resolvent Power Differences of Self-adjoint Elliptic Operators

M. Langer, J. Behrndt, V. Lotoreichik, 2022 .