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Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2019, Volume 266, Issue 2-3, pp. 1051 - 1072
The Adimurthi–Druet [1] inequality is an improvement of the standard Moser–Trudinger inequality by adding a L2-type perturbation, quantified by α∈[0,λ1... 
EXISTENCE | MATHEMATICS | MOSER-TRUDINGER INEQUALITY | SHARP FORM | POSITIVE SOLUTIONS | CRITICAL-POINTS | Analysis | Equality | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 5/2017, Volume 352, Issue 1, pp. 37 - 58
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 25
Journal Article
Probability Theory and Related Fields, ISSN 0178-8051, 8/2016, Volume 165, Issue 3, pp. 1025 - 1049
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2/2015, Volume 334, Issue 1, pp. 473 - 505
... on $${\ell^{2}(\mathbb{Z})}$$ ℓ 2 ( Z ) to provide new proofs of sharp Lieb–Thirring inequalities for the powers $${\gamma = \frac{1}{2}}$$ γ = 1 2 and $${\gamma = \frac{3}{2}}$$ γ = 3 2... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EIGENVALUES | PHYSICS, MATHEMATICAL | BOUNDS | SIMPLE PROOF
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 01/2014, Volume 266, Issue 1, pp. 55 - 66
The paper gives the following improvement of the Trudinger–Moser inequality:(0.1)sup∫Ω|∇u|2dx−ψ(u)⩽1,u∈C0∞(Ω)∫Ωe4πu2dx<∞,Ω∈R2, related to the Hardy... 
Spectral gap | Virtual bound state | Singular elliptic operators | Trudinger–Moser inequality | Borderline Sobolev imbeddings | Hardy–Sobolev–Mazya inequality | Remainder terms | Trudinger-Moser inequality | Hardy-Sobolev-Mazya inequality | MATHEMATICS | Equality
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 03/2018, Volume 274, Issue 6, pp. 1739 - 1746
In 1975, Lieb and Thirring derived a semiclassical lower bound on the kinetic energy for fermions, which agrees with the Thomas–Fermi approximation up to a... 
Lieb–Thirring inequality | Sharp constant | Gradient error | Semiclassical approximation | DENSITY | MATHEMATICS | MATTER | ENERGY | STABILITY | Lieb-Thirring inequality | ATOMS | HARDY | MOLECULES | Force and energy | Equality
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2015, Volume 485, pp. 153 - 193
Journal Article
Studia Mathematica, ISSN 0039-3223, 2018, Volume 242, Issue 3, pp. 303 - 319
The aim of this paper is twofold. In the first part, we present a refinement of the Renyi Entropy Power Inequality (EPI... 
(reverse) entropy power inequality | Pth mean bodies | MATHEMATICS | CONVEX-BODIES | PROOF | SPECTRAL GAP | BRUNN-MINKOWSKI | pth mean bodies | COMMUNICATION | MATHEMATICAL-THEORY | JUMPS
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 9/2015, Volume 217, Issue 3, pp. 873 - 898
The equivalence between the inequalities of Babuška–Aziz and Friedrichs for sufficiently smooth bounded domains in the plane was shown by Horgan and Payne 30 years ago... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | Functional Analysis | Numerical Analysis | Mathematics
Journal Article
Proceedings of the Japan Academy Series A: Mathematical Sciences, ISSN 0386-2194, 2016, Volume 92, Issue 10, pp. 125 - 130
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 4/2017, Volume 107, Issue 4, pp. 717 - 732
...–Krahn-type inequality for the principal eigenvalue of these operators. The proofs rely on the Birman-Schwinger principle and on the fact that circles are unique minimizers for a class of energy functionals... 
Conical surface | Theoretical, Mathematical and Computational Physics | Complex Systems | Isoperimetric inequality | Existence of bound states | 35Q40 | Physics | Secondary 35J10 | Geometry | 81Q37 | 46F10 | Schrödinger operator | Group Theory and Generalizations | delta $$ δ -interaction | 81Q10 | Primary 35P15 | δ-interaction | EIGENVALUE | BOUND-STATES | CHORDS | Schrodinger operator | delta-interaction | PHYSICS, MATHEMATICAL | DOMAINS | SCHRODINGER-OPERATORS | PARAMETER | Nuclear physics | Equality
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 12/2016, Volume 18, Issue 6, p. 1650020
In this paper, we are dealing with quantitative Rellich inequalities on Finsler–Hadamard manifolds where the remainder terms are expressed by means of the flag curvature... 
Rellich inequality | Finsler-Hadamard manifold | Finsler-Laplace operator | curvature | LAPLACIAN | MATHEMATICS | MATHEMATICS, APPLIED | EQUATIONS | HARDY | RIEMANNIAN-MANIFOLDS | GEOMETRY | Mathematics - Analysis of PDEs
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 9
...He and Huang Journal of Inequalities and Applications 2014, 2014:114 http://www.journalofinequalitiesandapplications.com/content/2014/1/114 R E S E A R C H Open... 
eigenvalues | nonnegative tensor | Analysis | Mathematics, general | Mathematics | M -tensors | Applications of Mathematics | spectral radius | M-tensors | Eigenvalues | Nonnegative tensor | Spectral radius | MATHEMATICS | MATHEMATICS, APPLIED | LARGEST EIGENVALUE | PERRON-FROBENIUS THEOREM | Lower bounds | Theorems | Inequalities
Journal Article
Revista Matematica Iberoamericana, ISSN 0213-2230, 2018, Volume 34, Issue 3, pp. 1021 - 1054
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2016, Volume 434, Issue 2, pp. 1676 - 1689
... or Pólya inequalities, respectively. The logarithmic potential operator can be related to a nonlocal boundary value problem for the Laplacian, so we obtain... 
Pólya inequality | Characteristic numbers | Rayleigh–Faber–Krahn inequality | Isoperimetric inequality | Logarithmic potential | Schatten class | Rayleigh-Faber-Krahn inequality | LAPLACIAN | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | Polya inequality | Mathematics - Functional Analysis
Journal Article
Journal of the European Mathematical Society, ISSN 1435-9855, 2014, Volume 16, Issue 11, pp. 2433 - 2475
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2010, Volume 249, Issue 1, pp. 118 - 135
.... Hence an optimal Poincaré inequality for triangles is derived. The proof relies on symmetry of the Neumann fundamental mode for isosceles triangles with aperture less than π / 3... 
Isodiametric | Free membrane | Isoperimetric | Poincaré inequality | MATHEMATICS | BOUNDS | 1ST DIRICHLET EIGENVALUE | Poincare inequality | EIGENFUNCTIONS | Equality
Journal Article