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arXiv · 2008.07554

Some uniqueness results in quasilinear subhomogeneous problems

Humberto Ramos Quoirin
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Abstract

We establish uniqueness results for quasilinear elliptic problems through the criterion recently provided in \cite{DFMST}. 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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Humberto Ramos Quoirin. 2020-08-17. Some uniqueness results in quasilinear subhomogeneous problems. https://arxiv.org/abs/2008.07554

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