Nodal solutions for nonlinear nonhomogeneous Neumann equations
Keywords
Nonlinear regularity, nonhomogeneous differential operator, unique solution of constant sign, extremal solutions of constant sign, nodal solutionAbstract
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.Downloads
Published
2016-04-12
How to Cite
1.
AIZICOVICI, Sergiu, PAPAGEORGIOU, Nikolaos S. and STAICU, Vasile. Nodal solutions for nonlinear nonhomogeneous Neumann equations. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 2, pp. 421 - 438. [Accessed 19 April 2024].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0