Multiple solutions to a Dirichlet eigenvalue problem with $p$-Laplacian

Salvatore A. Marano, Dumitru Motreanu, Daniele Puglisi

Abstract


The existence of a greatest negative, a smallest positive, and
a nodal weak solution to a homogeneous Dirichlet problem with
$p$-Laplacian and reaction term depending on a positive
parameter is investigated via variational as well as topological
methods, besides truncation techniques.

Keywords


Dirichlet eigenvalue problem; p-Laplacian; constant-sign solutions; nodal solutions

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