Abstract
We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator with a Caratheodory reaction which is $(p-1)$-sublinear near $\pm\infty$. Using variational tools we show that the problem has at least three nontrivial smooth solutions (one positive, one negative and a third nodal). Our formulation unifies problems driven by the $p$-Laplacian, the $(p,q)$ Laplacian and the $p$-generalized mean curvature operator.
Citation
Sergiu Aizicovici. Nikolaos S. Papageorgiou. Vasile Staicu. "Nodal solutions for nonlinear nonhomogeneous Neumann equations." Topol. Methods Nonlinear Anal. 43 (2) 421 - 438, 2014.
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