On the p-Biharmonic Operator with Critical Sobolev Exponent and Nonlinear Steklov Boundary Condition

We show that this operator possesses at least one nondecreasing sequence of positive eigenvalues. A direct characterization of the principal eigenvalue (the first one) is given that we apply to study the spectrum of the p-biharmonic operator with a critical Sobolev exponent and the nonlinear Steklov...

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Veröffentlicht in:	International journal of analysis 2014-01, Vol.2014 (2014), p.1-8
Hauptverfasser:	El Khalil, Abdelouahed, Alaoui, My Driss Morchid, Touzani, Abdelfattah
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Eigenvalues Exponents Inequality Microelectromechanical systems Nonlinearity Operators Partial differential equations
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