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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.
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ZL
Zhenhai Liu
Guangxi Colleges, Yulin Normal University, Yulin, P. R. China and: Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning, Guangxi, P. R. China