Improved Multipolar Hardy Inequalities

DOI10.1007/978-1-4614-6348-1_3zbMath1283.35098OpenAlexW22418971MaRDI QIDQ2848249

Cristian Cazacu, Enrique Zuazua

Publication date: 26 September 2013

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-6348-1_3

zbMATH Keywords

Schrödinger operatorsHardy inequalitiesmultipolar potentials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Inequalities involving derivatives and differential and integral operators (26D10) Singular elliptic equations (35J75) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (20)

Multipolar Hardy inequalities on Riemannian manifolds ⋮ New estimates for the Hardy constants of multipolar Schrödinger operators ⋮ Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials ⋮ Best constants in bipolar \(L^p\) Hardy-type inequalities ⋮ Dirichlet problems involving the Hardy-Leray operators with multiple polars ⋮ Hardy type identities on \(\mathbb{R}^{n-k} \times (\mathbb{R}_+)^k\) via factorizations ⋮ A spectral result for Hardy inequalities ⋮ Improved Hardy inequalities with exact remainder terms ⋮ Generalized Ornstein-Uhlenbeck operators perturbed by multipolar inverse square potentials in \(L^2\)-spaces ⋮ Weighted Hardy inequalities and Ornstein-Uhlenbeck type operators perturbed by multipolar inverse square potentials ⋮ Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon ⋮ On fractional multi-singular Schrödinger operators: positivity and localization of binding ⋮ A note on the second order geometric Rellich inequality on half-space ⋮ Improved multipolar Poincaré-Hardy inequalities on Cartan-Hadamard manifolds ⋮ Unnamed Item ⋮ Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives ⋮ \(p\)-Bessel pairs, Hardy's identities and inequalities and Hardy-Sobolev inequalities with monomial weights ⋮ Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds ⋮ Multipolar Hardy inequalities in \(L^p\)-spaces ⋮ Hardy's identities and inequalities on Cartan-Hadamard manifolds

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