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Existence of solutions of the Neumann problem for a class of equations involving thep-Laplacian via a variational principle of Ricceri

✍ Scribed by G. Anello; G. Cordaro


Publisher
Springer
Year
2002
Tongue
English
Weight
255 KB
Volume
79
Category
Article
ISSN
0003-889X

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Nontrivial solutions for a class of reso
✍ Leszek GasiΕ„ski; Nikolaos S. Papageorgiou πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 451 KB

We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a Carathéodory reaction term. We assume that asymptotically at infinity resonance occurs with respect to the principal eigenvalue λ 0 = 0 (i.e., the reaction term is p -1sublinear near +∞). Using variational