We examine parametric nonlinear Neumann problems driven by the p- Laplacian with asymptotically (p − 1)-linear reaction term f (z, x) (as x → +∞). We determine the existence, nonexistence and minimality of positive solutions as the parameter λ > 0 varies.
Averna, D., Papagerorgiou, N., Tornatore, E. (2018). Positive solutions for the Neumann p-Laplacian. MONATSHEFTE FÜR MATHEMATIK, 185(4), 557-573 [10.1007/s00605-017-1027-0].
Positive solutions for the Neumann p-Laplacian
AVERNA, Diego;TORNATORE, Elisabetta
2018-01-01
Abstract
We examine parametric nonlinear Neumann problems driven by the p- Laplacian with asymptotically (p − 1)-linear reaction term f (z, x) (as x → +∞). We determine the existence, nonexistence and minimality of positive solutions as the parameter λ > 0 varies.
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