Some uniqueness results in quasilinear subhomogeneous problems

2020/08/17 by Quoirin, Humberto Ramos
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.07554

Abstract

We establish uniqueness results for quasilinear elliptic problems through the criterion recently provided in \citeDFMST. We apply it to generalized p-Laplacian subhomogeneous problems that may admit multiple nontrivial nonnegative solutions. Based on a generalized hidden convexity result, we show that uniqueness holds among strongly positive solutions and nonnegative global minimizers. Problems involving nonhomogeneous operators as the so-called (p,r)-Laplacian are also treated.

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