Liouville‐type results for non‐cooperative elliptic systems in a half‐space

For a class of semilinear elliptic systems, we show that, under quite general assumptions, a Liouville‐type result for the entire space problem extends to the corresponding half‐space Dirichlet problem. This implies a simple criterion for a priori bounds for more general boundary value problems whic...

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Veröffentlicht in:	Journal of the London Mathematical Society 2012-08, Vol.86 (1), p.111-128
Hauptverfasser:	Dancer, E.N., Weth, Tobias
Format:	Artikel
Sprache:	eng
Schlagworte:	Bose-Einstein condensates Boundary value problems Dirichlet problem Half spaces Mathematical analysis Mathematical models Nonlinear optics Schroedinger equation
Online-Zugang:	Volltext
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