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Asymptotic behaviour of the first eigenfunction of a Hardy-Sobolev operator.

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Publication:1395867
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DOI10.1016/S0362-546X(03)00111-1zbMath1126.35349MaRDI QIDQ1395867

D. Massart

Publication date: 1 July 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)


zbMATH Keywords

first eigenfunctionHardy-Sobolev operator


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)


Related Items (2)

Positive solutions to nonlinear \(p\)-Laplace equations with Hardy potential in exterior domains ⋮ On the eigenvalues and Fučik spectrum ofp-fractional Hardy-Sobolev operator with weight function



Cites Work

  • Unnamed Item
  • Weak eigenfunctions for the linearization of extremal elliptic problems
  • On the first eigenfunction of a perturbed Hardy-Sobolev operator
  • An improved Hardy-Sobolev inequality and its application
  • ASYMPTOTIC BEHAVIOUR OF MINIMIZING SEQUENCES FOR HARDY'S INEQUALITY
  • Existence and non-existence of the first eigenvalue of the perturbed Hardy–Sobolev operator


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