BEST CONSTANTS AND POHOZAEV IDENTITY FOR HARDY–SOBOLEV-TYPE OPERATORS

DOI10.1142/S0219199712500502zbMath1285.35088OpenAlexW1993840295MaRDI QIDQ2853984

Adimurthi

Publication date: 17 October 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199712500502

zbMATH Keywords

elliptic operatorsPohozaev identityHardy inequalitiesHardy-Sobolev operatorsmultipolar singularities

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Functional-differential inequalities (34K38)

Related Items (8)

Multipolar Hardy inequalities on Riemannian manifolds ⋮ Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results ⋮ Hardy inequality and Pohozaev identity for operators with boundary singularities: some applications ⋮ Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon ⋮ Improved multipolar Poincaré-Hardy inequalities on Cartan-Hadamard manifolds ⋮ Improved Multipolar Hardy Inequalities ⋮ Some Results Concerning Hardy and Hardy Type Inequalities ⋮ Diagonals of Green's functions and applications

Cites Work

• Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
• Hardy inequality and Pohozaev identity for operators with boundary singularities: some applications
• A ground state alternative for singular Schrödinger operators
• Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators
• Optimal Hardy inequalities for general elliptic operators with improvements
• On the structure of Hardy-Sobolev-Maz'ya inequalities
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• Optimizing improved Hardy inequalities
• On Hardy inequalities with singularities on the boundary
• An improved Hardy-Sobolev inequality and its application
• Existence and non-existence of the first eigenvalue of the perturbed Hardy–Sobolev operator
• Role of the fundamental solution in Hardy—Sobolev-type inequalities

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