We prove some properties of the first eigenvalue of nonlinear weighted problems. In particular, the first eigenvalue is shown to be isolated. Moreover, existence and non existence results of solutions in W^{1,p}_0(\Omega) for nonlinear weighted equations with exponential growth are obtained.

Some properties for the first eigenvalue of nonlinear weighted problems and applications

Alberico A
2004

Abstract

We prove some properties of the first eigenvalue of nonlinear weighted problems. In particular, the first eigenvalue is shown to be isolated. Moreover, existence and non existence results of solutions in W^{1,p}_0(\Omega) for nonlinear weighted equations with exponential growth are obtained.
2004
Istituto Applicazioni del Calcolo ''Mauro Picone''
Nonlinear weighted problems
First eigenvalue
Existence and non-existence of solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/189605
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