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On resonant Neumann problems |
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| Authors: | D Motreanu V V Motreanu N S Papageorgiou |
| Institution: | 1. D??partement de Math??matiques, Universit?? de Perpignan, 66860, Perpignan, France 2. Department of Mathematics, Ben Gurion University of the Negev, 84105, Be??er Sheva, Israel 3. Department of Mathematics, National Technical University, 15780, Athens, Greece |
| Abstract: | We consider semilinear Neumann problems at resonance and prove existence and multiplicity theorems. The existence theorems allow resonance with respect to any eigenvalue of the negative Neumann Laplacian. The multiplicity theorems concern problems resonant at 0 (the principal eigenvalue) or at the first nonzero eigenvalue. Our approach uses tools from critical point theory and from Morse theory. |
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