Resonant (p,q)-equations with Robin boundary condition
Date
2018-01-02
Authors
Filippakis, Michael E.
Papageorgiou, Nikolaos S.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
(p,q)-Laplace differential operator, Resonance, Critical groups, Multiple solutions, Nonlinear regularity
Citation
Filippakis, M. E., & Papageorgiou, N. S. (2018). Resonant (p,q)-equations with Robin boundary condition. Electronic Journal of Differential Equations, 2018(01), pp. 1-24.
Rights
Attribution 4.0 International