Michael E. Filippakis, Nikolaos S. Papageorgiou
Abstract:
We consider a nonlinear nonhomogeneous Robin problem that has the
sum of a p-Laplacian and a q-Laplacian (a (p,q)-equation).
The reaction term is a Caratheodory function which is resonant at
with respect to any nonprincipal variational eigenvalue
of the Robin p-Laplacian. Using variational methods and Morse
theory (critical groups), we show the existence of at least
three nontrivial smooth solutions.
Submitted October 4, 2017. Published January 2, 2018.
Math Subject Classifications: 35J20, 35J92, 58E05.
Key Words: (p,q)-Laplace differential operator; resonance; critical groups;
multiple solutions; nonlinear regularity.
Show me the PDF file (342 KB), TEX file for this article.
| Michael E. Filippakis Department of Digital Systems University of Piraeus Piraeus 18536, Greece email: mfilip@unipi.gr |
| Nikolaos S. Papageorgiou Department of Mathematics National Technical University of Athens Zografou Campus, Athens 15780, Greece email: npapg@math.ntua.gr |
Return to the EJDE web page