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Title: Nontrivial solutions for nonvariational quasilinear neumann problems
Author: Papageorgiou, Nikolaos S.
Santos, Sandrina R. A.
Staicu, Vasile
Keywords: nonvariational problem
asymptotic differential operator
degree theory
nonsmooth potential
generalized subdifferential
Issue Date: 2010
Abstract: We consider a nonlinear nonvariational Neumann problem with a nonsmooth potential. Using the spectrum of the assymptotic (as |x| - ∞) differential operator and degree theoretic techniques based on the degree map of certain multivalued perturbations of (S)+-operators, we establish the existence of at least one nontrivial smooth solution.
Peer review: yes
ISSN: 1230-3429
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Appears in Collections:DMat - Artigos

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