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Resonance problems for -Laplacian systems

✍ Scribed by Xiao-Xiao Zhao; Chun-Lei Tang

Book ID
103850220
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
671 KB
Volume
72
Category
Article
ISSN
0362-546X

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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