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

Calculus of variations and partial differential equations, 2024-12, Vol.63 (9), Article 223

2024

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

Annales Henri Poincaré, 2023, Vol.24 (1), p.179-221

2023

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Optimization of the lowest eigenvalue of a soft quantum ring

Letters in mathematical physics, 2021-04, Vol.111 (2), Article 28

2021

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

Potential analysis, 2020-04, Vol.52 (4), p.601-614

2020

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

Journal of mathematical physics, 2021-01, Vol.62 (1)

2021

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

The Journal of geometric analysis, 2022-06, Vol.32 (6), Article 182

2022

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

The Journal of geometric analysis, 2022-09, Vol.32 (9), Article 237

2022

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Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer

Integral equations and operator theory, 2020-04, Vol.92 (2), Article 15

2020

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Improved inequalities between Dirichlet and Neumann eigenvalues of the biharmonic operator

Proceedings of the American Mathematical Society, 2024-06

Lotoreichik, Vladimir

2024

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

Journal of Differential Equations, 2023-02, Vol.345, p.285-313, Article 285

Lotoreichik, Vladimir

2023

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

Communications in mathematical physics, 2021-09, Vol.386 (2), p.781-818

2021

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Spectra of definite type in waveguide models

Proceedings of the American Mathematical Society, 2017-03, Vol.145 (3), p.1231-1246

2017

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

Journal of mathematical physics, 2016-02, Vol.57 (2)

2016

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

Journal of evolution equations, 2021-06, Vol.21 (2), p.1651-1675

2021

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A Geometric Bound on the Lowest Magnetic Neumann Eigenvalue via the Torsion Function

SIAM journal on mathematical analysis, 2024-08, Vol.56 (4), p.5723-5745

2024

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Eigenvalue inequalities for the Laplacian with mixed boundary conditions

Journal of Differential Equations, 2017-07, Vol.263 (1), p.491-508

2017

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Self‐adjointness for the MIT bag model on an unbounded cone

Mathematische Nachrichten, 2024-03, Vol.297 (3), p.1006-1041

2024

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Spectral Estimates for Resolvent Differences of Self-Adjoint Elliptic Operators

Integral equations and operator theory, 2013-09, Vol.77 (1), p.1-37

2013

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

Journal of the London Mathematical Society, 2013-10, Vol.88 (2), p.319-337

2013

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Spectral optimization for Robin Laplacian on domains admitting parallel coordinates

Mathematische Nachrichten, 2022-06, Vol.295 (6), p.1163-1173

2022

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Spectral isoperimetric inequalities for singular interactions on open arcs

Applicable analysis, 2019-06, Vol.98 (8), p.1451-1460

Lotoreichik, Vladimir

2019

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Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set

Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, 2011, Vol.31 (4), p.615

Lotoreichik, Vladimir

2011

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A spectral isoperimetric inequality for cones

Letters in mathematical physics, 2017-04, Vol.107 (4), p.717-732

2017

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

Journal of spectral theory, 2022-01, Vol.12 (2), p.683-706

2022

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

Journal of mathematical analysis and applications, 2014-12, Vol.420 (2), p.1416-1438

2014

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

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

Optimization of the lowest eigenvalue of a soft quantum ring

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

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

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

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

Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer

Improved inequalities between Dirichlet and Neumann eigenvalues of the biharmonic operator

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

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

Spectra of definite type in waveguide models

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

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

A Geometric Bound on the Lowest Magnetic Neumann Eigenvalue via the Torsion Function

Eigenvalue inequalities for the Laplacian with mixed boundary conditions

Self‐adjointness for the MIT bag model on an unbounded cone

Spectral Estimates for Resolvent Differences of Self-Adjoint Elliptic Operators

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

Spectral optimization for Robin Laplacian on domains admitting parallel coordinates

Spectral isoperimetric inequalities for singular interactions on open arcs

Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set

A spectral isoperimetric inequality for cones

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

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

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