We study a parametric nonlinear periodic problem driven by the scalar p-Laplacian. We show that if lambda^1 > 0 is the first eigenvalue of the periodicscalar p-Laplacian and lambda>lambda^1, 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 comparisontechniques.
A nonlinear eigenvalue problem for the periodic scalar p-Laplacian / Barletta, Giuseppina; Livrea, R; Papageorgiou, N. S.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 13:3(2014), pp. 1075-1086. [10.3934/cpaa.2014.13.1075]
A nonlinear eigenvalue problem for the periodic scalar p-Laplacian
BARLETTA, Giuseppina
;
2014-01-01
Abstract
We study a parametric nonlinear periodic problem driven by the scalar p-Laplacian. We show that if lambda^1 > 0 is the first eigenvalue of the periodicscalar p-Laplacian and lambda>lambda^1, 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 comparisontechniques.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
