Abstract
We consider a nonlinear Dirichlet problem driven by a weighted
(p,q)-Laplacian plus an indefinite potential term. The reaction is superlinear. We prove a three solutions theorem providing sign information for all of them (positive, negative, nodal). The nodal solution is produced using flow invariance arguments.
Author information
Contact details are reproduced from the original publication and may be historical.
Zhenhai Liu
Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, P. R. China
and: Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning, Guangxi 530006, P. R. China
zhhliu@hotmail.comNikolaos S. Papageorgiou
Department of Mathematics, National Technical University, 15780 Athens, Greece
npapg@math.ntua.grSuggested citation
Z. Liu, N. S. Papageorgiou. “Superlinear Weighted (p,q)-Equations with Indefinite Potential.” Journal of Convex Analysis 28 (2021), No. 3, 967–982. https://doi.org/10.68381/jca28057
Published by Heldermann Verlag, 2021. Rights now held by Banach Press.
Zhenhai Liu
