Multiple solutions to a Dirichlet eigenvalue problem with $p$-Laplacian
S. Marano, Dumitru Motreanu, Daniele Puglisi · Topological Methods in Nonlinear Analysis · 2013
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.