Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2019, Volume 473, Issue 2, pp. 1253 - 1269

We prove Berezin–Li–Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sphere Sd−1. A sharp explicit bound for the sums of the...

Berezin–Li–Yau inequalities | Riesz means | Estimation of eigenvalues | Spherical harmonics | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | BOUNDS | Berezin-Li-Yau inequalities | SUMS

Berezin–Li–Yau inequalities | Riesz means | Estimation of eigenvalues | Spherical harmonics | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | BOUNDS | Berezin-Li-Yau inequalities | SUMS

Journal Article

Communications in Contemporary Mathematics, ISSN 0219-1997, 03/2020, Volume 22, Issue 2, p. 1950008

We study bounds on the Riesz means of the mixed Steklov–Neumann and Steklov–Dirichlet eigenvalue problem on a bounded domain Ω in ℝ n . The Steklov–Neumann...

Riesz mean | MATHEMATICS | MATHEMATICS, APPLIED | Dirichlet-to-Neumann operator | Sloshing problem | mixed Steklov eigenvalue problem

Riesz mean | MATHEMATICS | MATHEMATICS, APPLIED | Dirichlet-to-Neumann operator | Sloshing problem | mixed Steklov eigenvalue problem

Journal Article

Communications in mathematical physics, ISSN 1432-0916, 2019, Volume 375, Issue 3, pp. 2071 - 2087

This paper is devoted to the symmetry and symmetry breaking properties of a two-dimensional magnetic Schrodinger operator involving an Aharonov-Bohm magnetic...

BREAKING | CAFFARELLI-KOHN-NIRENBERG | EQUATIONS | EXTREMAL-FUNCTIONS | SHARP CONSTANTS | PHYSICS, MATHEMATICAL | SOBOLEV | Mathematical Physics | Analysis of PDEs | Mathematics

BREAKING | CAFFARELLI-KOHN-NIRENBERG | EQUATIONS | EXTREMAL-FUNCTIONS | SHARP CONSTANTS | PHYSICS, MATHEMATICAL | SOBOLEV | Mathematical Physics | Analysis of PDEs | Mathematics

Journal Article

Sbornik Mathematics, ISSN 1064-5616, 2016, Volume 207, Issue 10, pp. 1410 - 1434

We consider the Lieb-Thirring inequalities on the d-dimensional torus with arbitrary periods. In the space of functions with zero average with respect to the...

Interpolation inequalities | Attractors | Lieb-thirring inequalities | Fractal dimension | Schrödinger operators | EXPONENTS | CONSTANTS | Lieb-Thirring inequalities | fractal dimension | interpolation inequalities | SIMPLE PROOF | MATHEMATICS | NAVIER-STOKES EQUATIONS | BOUNDS | Schrodinger operators | SYSTEMS | TURBULENCE | attractors | Functions (mathematics) | Toruses | Mathematical analysis | Inequalities | Eigenvalues | Constants | Navier-Stokes equations

Interpolation inequalities | Attractors | Lieb-thirring inequalities | Fractal dimension | Schrödinger operators | EXPONENTS | CONSTANTS | Lieb-Thirring inequalities | fractal dimension | interpolation inequalities | SIMPLE PROOF | MATHEMATICS | NAVIER-STOKES EQUATIONS | BOUNDS | Schrodinger operators | SYSTEMS | TURBULENCE | attractors | Functions (mathematics) | Toruses | Mathematical analysis | Inequalities | Eigenvalues | Constants | Navier-Stokes equations

Journal Article

5.
Full Text
Perturbations of embedded eigenvalues for a magnetic Schrödinger operator on a cylinder

Journal of mathematical physics, ISSN 1089-7658, 2017, Volume 58, Issue 1, p. 012105

...JOURNAL OF MATHEMATICAL PHYSICS 58, 012105 (2017) Perturbations of embedded eigenvalues for a magnetic Schrödinger operator on a cylinder Ari Laptev 1...

PSEUDO-LAPLACIANS | POTENTIALS | SPECTRUM | PHYSICS, MATHEMATICAL | BILAPLACIAN | Operators (mathematics) | Eigenvalues | Decay rate | Mathematical analysis | Eigen values | Cylinders | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

PSEUDO-LAPLACIANS | POTENTIALS | SPECTRUM | PHYSICS, MATHEMATICAL | BILAPLACIAN | Operators (mathematics) | Eigenvalues | Decay rate | Mathematical analysis | Eigen values | Cylinders | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Journal Article

6.
Full Text
Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices

Bulletin of mathematical sciences, ISSN 1664-3615, 2018, Volume 8, Issue 3, pp. 453 - 475

... lattices Evgeny Korotyaev 1 · Ari Laptev 2 Received: 4 January 2018 / Accepted: 22 January 2018 / Published online: 13 March 2018 © The Author(s) 2018. This article...

Complex eigenvalues | Scattering | 34B24, 47E05 | Trace formula | Hardy spaces | 34A55 | Mathematics, general | Mathematics | Lattice | DISCRETE SCHRODINGER | MATHEMATICS | INEQUALITIES | EIGENVALUE BOUNDS

Complex eigenvalues | Scattering | 34B24, 47E05 | Trace formula | Hardy spaces | 34A55 | Mathematics, general | Mathematics | Lattice | DISCRETE SCHRODINGER | MATHEMATICS | INEQUALITIES | EIGENVALUE BOUNDS

Journal Article

Communications in mathematical physics, ISSN 1432-0916, 2009, Volume 292, Issue 1, pp. 29 - 54

We discuss properties of eigenvalues of non-self-adjoint Schrodinger operators with complex-valued potential V. Among our results are estimates of the sum of...

PHYSICS, MATHEMATICAL | BOUNDS | INEQUALITIES

PHYSICS, MATHEMATICAL | BOUNDS | INEQUALITIES

Journal Article

Annales Henri Poincaré, ISSN 1424-0637, 5/2018, Volume 19, Issue 5, pp. 1439 - 1463

... Dolbeault, Maria J. Esteban, Ari Laptev and Michael Loss Abstract. We prove magnetic interpolation inequalities and Keller–LiebThirring estimates for the principal...

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SYMMETRY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | POSITIVE SOLUTIONS | UNIQUENESS | PHYSICS, PARTICLES & FIELDS | Mathematics - Analysis of PDEs | Mathematical Physics | Analysis of PDEs | Mathematics

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SYMMETRY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | POSITIVE SOLUTIONS | UNIQUENESS | PHYSICS, PARTICLES & FIELDS | Mathematics - Analysis of PDEs | Mathematical Physics | Analysis of PDEs | Mathematics

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 06/2015, Volume 268, Issue 11, pp. 3278 - 3289

In this paper we obtain some sharp Hardy inequalities with weight functions that may admit singularities on the unit sphere. In order to prove the main results...

Hardy inequalities | Laplace–Beltrami operators | Secondary | Laplace-Beltrami operators | Primary | MATHEMATICS | OPERATOR

Hardy inequalities | Laplace–Beltrami operators | Secondary | Laplace-Beltrami operators | Primary | MATHEMATICS | OPERATOR

Journal Article

Analysis and Mathematical Physics, ISSN 1664-2368, 9/2019, Volume 9, Issue 3, pp. 1535 - 1546

We study the spectrum of a system of second order differential operator $$D_m$$ D m perturbed by a non-selfadjoint matrix valued potential V. We prove that...

Mathematical Methods in Physics | Analysis | Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDS | SCHRODINGER-OPERATORS

Mathematical Methods in Physics | Analysis | Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDS | SCHRODINGER-OPERATORS

Journal Article

Journal of the London Mathematical Society, ISSN 1469-7750, 2016, Volume 94, Issue 2, pp. 377 - 390

We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the...

MATHEMATICS | INEQUALITIES | VALUED POTENTIALS | BOUNDS | DIFFERENTIAL-OPERATORS

MATHEMATICS | INEQUALITIES | VALUED POTENTIALS | BOUNDS | DIFFERENTIAL-OPERATORS

Journal Article

MATHEMATICA SCANDINAVICA, ISSN 0025-5521, 2019, Volume 125, Issue 1-2, pp. 239 - 269

In this paper we prove the Hardy inequalities for the quadratic form of the Laplacian with the Landau Hamiltonian type magnetic field. Moreover, we obtain a...

MATHEMATICS | RELLICH-TYPE INEQUALITIES | CAFFARELLI-KOHN-NIRENBERG

MATHEMATICS | RELLICH-TYPE INEQUALITIES | CAFFARELLI-KOHN-NIRENBERG

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 4/2017, Volume 11, Issue 4, pp. 895 - 926

... of the Zaremba Problem for the Circle Ari Laptev 1,2 · Anastasiya Peicheva 2 · Alexander Shlapunov 2 Received: 15 January 2016 / Accepted: 24 October 2016 / Published online...

Robin condition | Operator Theory | Analysis | Eigenvalues | Mathematics, general | Mathematics | 30B60 | 47A10 | 35J57 | Sturm-Liouville problems | MATHEMATICS | MATHEMATICS, APPLIED | SYSTEMS | COMPLETENESS | Computer science

Robin condition | Operator Theory | Analysis | Eigenvalues | Mathematics, general | Mathematics | 30B60 | 47A10 | 35J57 | Sturm-Liouville problems | MATHEMATICS | MATHEMATICS, APPLIED | SYSTEMS | COMPLETENESS | Computer science

Journal Article

Geometric and Functional Analysis, ISSN 1016-443X, 2/2016, Volume 26, Issue 1, pp. 288 - 305

... Geometric And Functional Analysis WEYL TYPE ASYMPTOTICS AND BOUNDS FOR THE EIGENV ALUES OF FUNCTIONAL-DIFFERENCE OPERA TORS FOR MIRROR CUR VES Ari Laptev, Lukas...

Analysis | Mathematics

Analysis | Mathematics

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 11/2015, Volume 128, pp. 365 - 379

In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in...

Hardy inequality | [formula omitted]-Laplacian | Robin boundary conditions | p-Laplacian | MATHEMATICS | MATHEMATICS, APPLIED | GEOMETRICAL VERSION | EQUATIONS | CONSTANT | DOMAINS

Hardy inequality | [formula omitted]-Laplacian | Robin boundary conditions | p-Laplacian | MATHEMATICS | MATHEMATICS, APPLIED | GEOMETRICAL VERSION | EQUATIONS | CONSTANT | DOMAINS

Journal Article

Journal of mathematical physics, ISSN 1089-7658, 2018, Volume 59, Issue 5, p. 051504

We study functional and spectral properties of perturbations of the operator −(∂s+i a)2 in L2(S1). This operator appears when considering the restriction to...

HARDY INEQUALITIES | PHYSICS, MATHEMATICAL | SPHERE | SCHRODINGER-OPERATORS | Mathematics | Mathematical Physics | Analysis of PDEs | Physics

HARDY INEQUALITIES | PHYSICS, MATHEMATICAL | SPHERE | SCHRODINGER-OPERATORS | Mathematics | Mathematical Physics | Analysis of PDEs | Physics

Journal Article

International Mathematics Research Notices, ISSN 1073-7928, 2016, Volume 2016, Issue 4, pp. 1190 - 1222

In this paper, we prove refined first-order interpolation inequalities for periodic functions and give applications to various refinements of the...

MATHEMATICS | BOUNDS | LIEB-THIRRING INEQUALITIES

MATHEMATICS | BOUNDS | LIEB-THIRRING INEQUALITIES

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 3/2014, Volume 326, Issue 2, pp. 531 - 541

... Inequalities for Schrödinger Operators on Semiaxis Pavel Exner 1,2 , Ari Laptev 3 , Muhammad Usman 4 1 Doppler Institute for Mathematical Physics and Applied Mathematics...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | LIEB-THIRRING INEQUALITIES | PROOF | CONSTANTS | PHYSICS, MATHEMATICAL | BOUNDS | Nuclear physics

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | LIEB-THIRRING INEQUALITIES | PROOF | CONSTANTS | PHYSICS, MATHEMATICAL | BOUNDS | Nuclear physics

Journal Article

Journal of Spectral Theory, ISSN 1664-039X, 2016, Volume 6, Issue 4, pp. 837 - 858

We obtain a number of Hardy type inequalities for continuous and discrete operators.

Hardy's inequalties | Discrete Schödinger operators | MATHEMATICS | MATHEMATICS, APPLIED | discrete Schodinger operators

Hardy's inequalties | Discrete Schödinger operators | MATHEMATICS | MATHEMATICS, APPLIED | discrete Schodinger operators

Journal Article

20.
Full Text
One‐dimensional Gagliardo–Nirenberg–Sobolev inequalities: remarks on duality and flows

Journal of the London Mathematical Society, ISSN 0024-6107, 10/2014, Volume 90, Issue 2, pp. 525 - 550

This paper is devoted to one‐dimensional interpolation Gagliardo–Nirenberg–Sobolev inequalities. We study how various notions of duality, transport and...

MATHEMATICS | SELF-SIMILARITY | SHARP SOBOLEV | CONTINUITY | FAST DIFFUSION EQUATION | CONCENTRATION-COMPACTNESS PRINCIPLE | MANIFOLDS | ELLIPTIC-EQUATIONS | MASS-TRANSPORT | STRONG MAXIMUM PRINCIPLE | TIME ASYMPTOTICS | Interpolation | Computation | Mathematical analysis | Inequalities | Eigenvalues | Nonlinearity | Diffusion | Formulas (mathematics) | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

MATHEMATICS | SELF-SIMILARITY | SHARP SOBOLEV | CONTINUITY | FAST DIFFUSION EQUATION | CONCENTRATION-COMPACTNESS PRINCIPLE | MANIFOLDS | ELLIPTIC-EQUATIONS | MASS-TRANSPORT | STRONG MAXIMUM PRINCIPLE | TIME ASYMPTOTICS | Interpolation | Computation | Mathematical analysis | Inequalities | Eigenvalues | Nonlinearity | Diffusion | Formulas (mathematics) | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.