Weighted quasilinear eigenvalue problems in exterior domains

We consider the following weighted eigenvalue problem in the exterior domain: - Δ p u = λ K ( x ) | u | p - 2 u in B 1 c , u = 0 on ∂ B 1 , where Δ p is the p -Laplace operator with p > 1 , and B 1 c is the exterior of the closed unit ball in R N with N ≥ 1 . There is no restriction on the dimens...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2015-07, Vol.53 (3-4), p.961-975
Hauptverfasser:	Anoop, T. V., Drábek, Pavel, Sasi, Sarath
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus of variations Calculus of Variations and Optimal Control Optimization Control Eigenvalues Mathematical and Computational Physics Mathematics Mathematics and Statistics Partial differential equations Systems Theory Theoretical
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