Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain

The existence of positive solutions is proved for the prescribed mean curvature problem where Ω ⊂ℝ is a bounded smooth domain, not necessarily radially symmetric. We assume that ∫ f(x, s) ds is locally subquadratic at 0, ∫ g(x, s) ds is superquadratic at 0 and λ > 0 is sufficiently small. A multi...

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Veröffentlicht in:	Advanced nonlinear studies 2004-02, Vol.4 (1), p.1-13
Hauptverfasser:	Habets, Patrick, Omari, Pierpaolo
Format:	Artikel
Sprache:	eng
Schlagworte:	Elliptic boundary value problem indefinite nonlinearity multiplicity positive solution prescribed mean curvature equation
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