Existence and nonexistence of global positive solutions for the evolution P-Laplacian equations in exterior domains

This paper deals with the existence and nonexistence of global positive solutions for two evolution P-Laplacian equations in exterior domains with inhomogeneous boundary conditions. We demonstrate that q c = n ( p − 1 ) / ( n − p ) is its critical exponent provided 2 n / ( n + 1 ) < p < n . Fu...

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Veröffentlicht in:	Nonlinear analysis 2007-08, Vol.67 (3), p.901-916
1. Verfasser:	Zeng, Xianzhong
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up Critical exponent Exact sciences and technology Exterior domain Global analysis, analysis on manifolds Global existence Inhomogeneous boundary conditions Mathematical analysis Mathematics Partial differential equations Sciences and techniques of general use The evolution P-Laplacian equations Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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