On a nonresonance condition between the first and the second eigenvalues for the p‐Laplacian
Aomar Anane, Najib Tsouli · International Journal of Mathematics and Mathematical Sciences · 2001
We are concerned with the existence of solution for the Dirichlet problem −Δpu = f(x, u) + h(x) in Ω, u = 0 on ∂Ω, when f(x, u) lies in some sense between the first and the second eigenvalues of the p‐Laplacian Δp. Extensions to more general operators which are (p − 1)‐homogeneous at infinity are also considered.