Large solutions to the p-Laplacian for large p

In this work we consider the behaviour for large values of p of the unique positive weak solution u p to Δ p u =  u q in Ω, u = +∞ on , where q >  p − 1. We take q =  q ( p ) and analyze the limit of u p as p → ∞. We find that when q ( p )/ p → Q the behaviour strongly depends on Q . If 1 < Q...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2008-02, Vol.31 (2), p.187-204
Hauptverfasser:	García-Melián, Jorge, Rossi, Julio D., de Lis, José C. Sabina
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus Calculus of variations Calculus of Variations and Optimal Control Optimization Control Differential equations Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Article Partial differential equations Systems Theory Theoretical
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