The Hardy–Schrödinger operator with interior singularity: the remaining cases

We consider the remaining unsettled cases in the problem of existence of energy minimizing solutions for the Dirichlet value problem L γ u - λ u = u 2 ∗ ( s ) - 1 | x | s on a smooth bounded domain Ω in R n ( n ≥ 3 ) having the singularity 0 in its interior. Here γ < ( n - 2 ) 2 4 , 0 ≤ s < 2...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2017-10, Vol.56 (5), p.1-54, Article 149
Hauptverfasser:	Ghoussoub, Nassif, Robert, Frédéric
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Analysis of PDEs Calculus of Variations and Optimal Control Optimization Control Dirichlet problem Eigenvalues Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical
Online-Zugang:	Volltext
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