Abstract
We consider a nonlinear nonvariational Neumann problem with a nonsmooth potential. Using the spectrum of the assymptotic (as $|x| \rightarrow\infty)$ 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.
Citation
Nikolaos S. Papageorgiou. Sandrina R. A. Santos. Vasile Staicu. "Nontrivial solutions for nonvariational quasilinear Neumann problems." Topol. Methods Nonlinear Anal. 36 (1) 39 - 59, 2010.
Information