In the present paper we prove a novel multiplicity result for a model quasilinear Dirichlet problem $(P_\lambda)$ depending on a positive parameter $\lambda$. By a variational method, we prove that for every $\lambda>1$ problem $(P_\lambda)$ has at least two non-zero solutions, while there exists $\hat\lambda>1$ such that problem $(P_{\hat\lambda})$ has at least three non-zero solutions.
Three non-zero solutions for a nonlinear eigenvalue problem
FARACI, FRANCESCA;
2012-01-01
Abstract
In the present paper we prove a novel multiplicity result for a model quasilinear Dirichlet problem $(P_\lambda)$ depending on a positive parameter $\lambda$. By a variational method, we prove that for every $\lambda>1$ problem $(P_\lambda)$ has at least two non-zero solutions, while there exists $\hat\lambda>1$ such that problem $(P_{\hat\lambda})$ has at least three non-zero solutions.File in questo prodotto:
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