Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements
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Publication:5074471
DOI10.4067/S0719-06462022000100115zbMath1485.26024OpenAlexW4280576186MaRDI QIDQ5074471
M. M. H. Pang, Isaac Michael, Friedrich Gesztesy
Publication date: 9 May 2022
Published in: Cubo (Temuco) (Search for Journal in Brave)
Full work available at URL: https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2965
Inequalities involving derivatives and differential and integral operators (26D10) Best constants in approximation theory (41A44) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
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- Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space
- Hardy type inequalities on balls
- Sharp remainder terms of the Rellich inequality and its application
- Rellich inequalities with weights
- Weighted Sobolev spaces of radially symmetric functions
- The analysis and geometry of Hardy's inequality
- A Hardy-type inequality and its applications
- Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
- On Hardy inequalities with a remainder term
- An improved Hardy-Sobolev inequality in \(W^{1,p}\) and its application to Schrödinger operators
- Hardy inequalities with exceptional parameter values and applications
- Optimal Hardy--Rellich inequalities, maximum principle and related eigenvalue problem
- Best constants in the Hardy-Rellich inequalities and related improvements
- Optimal Hardy inequalities for general elliptic operators with improvements
- Best constants for higher-order Rellich inequalities in \(L^{p}(\Omega )\)
- A note on the paper ``Optimizing improved Hardy inequalities by S. Filippas and A. Tertikas
- On the best constant of Hardy-Sobolev inequalities
- On non-degenerate ground states for Schrödinger operators
- Sharp constants in the Hardy-Rellich inequalities
- Nonoscillation theory of elliptic equations of order \(2n\)
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- An integral operator inequality with applications
- A remark on the Hardy inequalities
- Explicit constants for Rellich inequalities in \(L_p(\Omega)\)
- A simple approach to Hardy inequalities
- Optimizing improved Hardy inequalities
- Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary
- On Birman's sequence of Hardy-Rellich-type inequalities
- The generalized Davies problem for polyharmonic operators
- Missing terms in Hardy-Sobolev inequalities
- Hardy and Rellich-type inequalities for metrics defined by vector fields
- Missing terms in the weighted Hardy-Sobolev inequalities and its application
- Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups
- Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations
- Factorizations and Hardy-Rellich inequalities on stratified groups
- A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinements
- Weighted Calderón-Zygmund and Rellich inequalities in \(L^p\)
- Bilateral scales of Hardy inequalities and their applications to some problems of mathematical physics
- A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems
- Remarks on the Hardy type inequalities with remainder terms in the framework of equalities
- Optimal Rellich-Sobolev constants and their extremals.
- Remarks on the Rellich inequality
- Extremal functions of generalized critical Hardy inequalities
- Hardy-Rellich identities with Bessel pairs
- A simple proof of Hardy's inequality in a limiting case
- Essential selfadjointness of a Schrödinger operator with strongly singular potential
- An improved Hardy-Sobolev inequality and its application
- Square Laplacian perturbed by inverse fourth-power potential. I Self-adjointness (real case)
- On the best possible remaining term in the Hardy inequality
- Optimal weighted Hardy-Rellich inequalities on H 2 ∩ H 0 1
- A Scale Invariant Form of a Critical Hardy Inequality
- Schrödinger operators with l l/2w(Rl) -potentials
- Perturbative Oscillation Criteria and Hardy-Type Ineqalities
- Series expansion for L^p Hardy inequalities
- Hardy inequalities with optimal constants and remainder terms
- Scaling and variants of Hardy’s inequality
- Factorizations and Hardy–Rellich-type inequalities
- Existence and non-existence of the first eigenvalue of the perturbed Hardy–Sobolev operator
- Functional Inequalities: New Perspectives and New Applications
- Weighted Inequalities of Hardy Type
- Hardy’s inequalities in finite dimensional Hilbert spaces
- A note on the best constants in some Hardy inequalities
- GENERALIZED HARDY–RELLICH INEQUALITIES IN CRITICAL DIMENSION AND ITS APPLICATIONS
- Sharp remainder terms of Hardy-Sobolev inequalities
- The spectrum of singular boundary problems
- Hardy's inequality with weights
- Radial and logarithmic refinements of Hardy’s inequality
- An Extension of Rellich's Inequality
- Role of the fundamental solution in Hardy—Sobolev-type inequalities
- On the Linear Logarithmico-Exponential Differential Equation of the Second Order
- Ordinary Differential Equations
