Some uniqueness results in quasilinear subhomogeneous problems

Autor:	Quoirin, Humberto Ramos
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.07554 Zobrazit plný text záznamu View this record from Arxiv