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.File in questo prodotto:
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