Nontrivial solutions for nonvariational quasilinear Neumann problems
Keywords
Nonvariational problem, asymptotic differential operator, degree theory, (S)$_{ }$-operator, nonsmooth potential, generalized subdifferentialAbstract
We consider a nonlinear nonvariational Neumann problem with a nonsmooth potential. Using the spectrum of the assymptotic (as $\vert x\vert \rightarrow\infty)$ 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.Downloads
Published
2010-04-23
How to Cite
1.
PAPAGEORGIOU, Nikolaos S., SANTOS, Sandrina Rafaela Andrade and STAICU, Vasile. Nontrivial solutions for nonvariational quasilinear Neumann problems. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 36, no. 1, pp. 39 - 59. [Accessed 28 March 2024].
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