A note on solutions of two-dimensional semilinear elliptic vector-field equations with strong nonlinearity

We prove the existence of solutions u for some semilinear elliptic vector-field equations on IR2 with a nonlinearity which is allowed to grow at infinity ‘nearly like a linear exponential’ in lul. In some cases a growth like exp(alulγ), a > 0 , 0 < γ < 2 , is allowed. This is achieved by in...

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Bibliographische Detailangaben

1. Verfasser:	Brüning, E.
Format:	Buchkapitel
Sprache:	eng
Schlagworte:	Russian Mathematical Survey Sobolev Imbeddings Sobolev Space Standard Variational Method Symmetric Rearrangement
Online-Zugang:	Volltext
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