Publications (35)
Lieb-Thirring inequalities with improved constants
Jean Dolbeault, Ari Laptev, Michael Loss
Inequalities between Dirichlet and Neumann eigenvalues on the Heisenberg group
Rupert L. Frank, Ari Laptev
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
Rupert L. Frank, Ari Laptev, Elliott H. Lieb +1
Spectral inequalities for a class of integral operators
Ari Laptev, Andrei Velicu
Hardy inequalities with homogenuous weights
Thomas Hoffmann-Ostenhof, Ari Laptev
Sharp interpolation inequalities for discrete operators and applications
Alexei Ilyin, Ari Laptev, Sergey Zelik
Eigenvalue bounds of mixed Steklov problems
Asma Hassannezhad, Ari Laptev
A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Open Sets
Fritz Gesztesy, Ari Laptev, Marius Mitrea +1
Spectral inequalities for Schroedinger operators with surface potentials
Rupert L. Frank, Ari Laptev
Eigenvalues of the bilayer graphene operator with a complex valued potential
Francesco Ferrulli, Ari Laptev, Oleg Safronov
Geometrical Versions of improved Berezin-Li-Yau Inequalities
Leander Geisinger, Ari Laptev, Timo Weidl
Eigenvalue estimates for non-selfadjoint Dirac operators on the real line
Jean-Claude Cuenin, Ari Laptev, Christiane Tretter
On the negative spectrum of two-dimensional Schrödinger operators with radial potentials
Ari Laptev, Michael Solomyak
A sharp bound on eigenvalues of Schroedinger operators on the halfline with complex-valued potentials
Rupert L. Frank, Ari Laptev, Robert Seiringer
Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality and flows
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
Eigenvalue estimates for magnetic Schroedinger operators in domains
Rupert L. Frank, Ari Laptev, Stanislav Molchanov
Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices
Evgeny Korotyaev, Ari Laptev
Hardy inequalities for simply connected planar domains
Ari Laptev, Alexander V. Sobolev
Berezin--Li--Yau inequalities on domains on the sphere
Alexei Ilyin, Ari Laptev
Hardy inequalities for Robin Laplacians
Hynek Kovarik, Ari Laptev
Lieb--Thirring inequalities on the sphere
Alexei Ilyin, Ari Laptev
Non-Linear Eigenvalues and Analytic Hypoellipticity
Sagun Chanillo, Bernard Helffer, Ari Laptev
On the number of eigenvalues of Schrödinger operators with complex potentials
Rupert L. Frank, Ari Laptev, Oleg Safronov
Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves
Ari Laptev, Lukas Schimmer, Leon A. Takhtajan
Follytons and the Removal of Eigenvalues for Fourth Order Differential Operators
Jens Hoppe, Ari Laptev, Jorgen Ostensson
One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators
Alexei Ilyin, Ari Laptev, Michael Loss +1
Lieb-Thirring inequalities on the torus
Alexei Ilyin, Ari Laptev
Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains
Rupert L. Frank, Ari Laptev
A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions
Mark S. Ashbaugh, Fritz Gesztesy, Ari Laptev +2
Hardy inequalities for p-Laplacians with Robin boundary conditions
Tomas Ekholm, Hynek Kovarik, Ari Laptev
Magnetic rings
Jean Dolbeault, Maria Esteban, Ari Laptev +1
Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I
Ari Laptev, Michael Ruzhansky, Nurgissa Yessirkegenov
Interpolation inequalities and spectral estimates for magnetic operators
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
Spectral estimates on the sphere
Jean Dolbeault, Maria J. Esteban, Ari Laptev