We consider a periodic problem driven by the scalar p-Laplacian and with a jumping (asymmetric) r... more We consider a periodic problem driven by the scalar p-Laplacian and with a jumping (asymmetric) reaction. We prove two multiplicity theorems. The first concerns the nonlinear problem (1<p<∞) and produces two nontrivial solutions. The second is for the semilinear problem (p=2) and produces three solutions. The tools of our analysis are variational and Morse theoretic.
We consider a periodic problem driven by the scalar p-Laplacian and with a jumping (asymmetric) r... more We consider a periodic problem driven by the scalar p-Laplacian and with a jumping (asymmetric) reaction. We prove two multiplicity theorems. The first concerns the nonlinear problem (1<p<∞) and produces two nontrivial solutions. The second is for the semilinear problem (p=2) and produces three solutions. The tools of our analysis are variational and Morse theoretic.
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Papers by Vasile Staicu