On the de Thélin eigenvalue problem and Landesman-Lazer conditions for quasilinear systems

David Arcoya, Natalino Borgia, Silvia Cingolani

In this paper we prove that the smallest eigenvalue ${\lambda }_1$ of the eigenvalue problem for a quasilinear elliptic systems introduced by de Thélin in \cite{DT}, is not only simple (in…