Some uniqueness results in quasilinear subhomogeneous problems
Analysis of PDEs
2020-08-19 v1 Classical Analysis and ODEs
Abstract
We establish uniqueness results for quasilinear elliptic problems through the criterion recently provided in \cite{DFMST}. We apply it to generalized -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 -Laplacian are also treated.
Keywords
Cite
@article{arxiv.2008.07554,
title = {Some uniqueness results in quasilinear subhomogeneous problems},
author = {Humberto Ramos Quoirin},
journal= {arXiv preprint arXiv:2008.07554},
year = {2020}
}