Multiple nontrivial solutions for Neumann problems involving the ▫$p$▫-Laplacian: a Morse theoretical approach
Kristály, Alexandru ; Papageorgiou, Nikolaos Socrates
We consider nonlinear elliptic Neumann problems driven by the ▫$p$▫-Laplacian. Using variational techniques together with Morse theory (in particular, critical groups and the Poincaré-Hopf formula), ...we prove some multiplicity results: either three or four distinct nontrivial solutions are guaranteed, depending on the geometry and smoothness of the nonlinear term.
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