Hardy inequalities for weighted Dirac operator

DOI10.1007/s10231-009-0107-8zbMath1187.35190arXiv0812.2778OpenAlexW2043847580MaRDI QIDQ968032

Kyril Tintarev, Adimurthi

Publication date: 3 May 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2778

zbMATH Keywords

Dirac operatorHardy inequalityoptimal constants

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) PDEs in connection with relativity and gravitational theory (35Q75) Applications of functional analysis in quantum physics (46N50)

Related Items (1)

Theoretical developments in the study of partial differential equations

Cites Work

• A ground state alternative for singular Schrödinger operators
• An improved Hardy-Sobolev inequality in \(W^{1,p}\) and its application to Schrödinger operators
• Carleman inequalities for the Dirac and Laplace operators and unique continuation
• On the eigenvalues of operators with gaps. Application to Dirac operators
• Optimizing improved Hardy inequalities
• An analytical proof of Hardy-like inequalities related to the Dirac operator
• 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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