Infinitely many solutions for three classes of self-similar equations with p-Laplace operator: Gelfand, Joseph–Lundgren and MEMS problems

We study global solution curves and prove the existence of infinitely many positive solutions for three classes of self-similar equations with p-Laplace operator. In the p = 2 case these are well-known problems involving the Gelfand equation, the equation modelling electrostatic micro-electromechani...

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Veröffentlicht in:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2018-04, Vol.148 (2), p.341-356
1. Verfasser:	Korman, Philip
Format:	Artikel
Sprache:	eng
Schlagworte:	Laplace transforms Mathematical models Microelectromechanical systems Modelling Self-similarity
Online-Zugang:	Volltext
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