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 Nontrivial solutions for nonvariational quasilinear neumann problems
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6937

title: Nontrivial solutions for nonvariational quasilinear neumann problems
authors: Papageorgiou, Nikolaos S.
Santos, Sandrina R. A.
Staicu, Vasile
keywords: nonvariational problem
asymptotic differential operator
degree theory
(S)+-operator
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.
URI: http://hdl.handle.net/10773/6937
ISSN: 1230-3429
publisher version/DOI: http://www2.mat.ua.pt/vasile/papers/P40_TMNA_36(2010)_39%E2%80%9359.pdf
source: Topological methods in nonlinear analysis
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