We study a parametric nonlinear periodic problem driven by the scalar p-Laplacian. We show that if λ̂1> 0 is the first eigenvalue of the periodic scalar p-Laplacian and λ > λ̂1, then the problem has at least three nontrivial solutions one positive, one negative and the third nodal. Our approach is variational together with suitable truncation, perturbation and comparison techniques.
A nonlinear eigenvalue problem for the periodic scalar p-Laplacian
Barletta G.;Livrea R.;
2014-01-01
Abstract
We study a parametric nonlinear periodic problem driven by the scalar p-Laplacian. We show that if λ̂1> 0 is the first eigenvalue of the periodic scalar p-Laplacian and λ > λ̂1, then the problem has at least three nontrivial solutions one positive, one negative and the third nodal. Our approach is variational together with suitable truncation, perturbation and comparison techniques.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
