Ambrosetti-Prodi-type problems for quasilinear elliptic problems
Eiko Koizumi, Klaus Schmitt · Differential and Integral Equations · 2005
We consider nonlinear perturbations of the $p$-Laplacian depending on a real parameter and subject to zero Dirichlet boundary data; we establish results which guarantee the existence of at least one and at least two solutions for certain parameter ranges.