Resonant (p,q)-equations with Robin boundary condition

Date

2018-01-02

Authors

Filippakis, Michael E.
Papageorgiou, Nikolaos S.

Journal Title

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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. <i>Electronic Journal of Differential Equations, 2018</i>(01), pp. 1-24.

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Attribution 4.0 International

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