Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth
Analysis of PDEs
2021-09-16 v2
Abstract
We establish some existence results of polyharmonic boundary value problems with supercritical growth. Our approach is based on truncation argument as well as -bounds. Also, by virtue of Pucci-serrin's variational identity \cite{PS}, we provide some nonexistence results.
Keywords
Cite
@article{arxiv.2106.03920,
title = {Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth},
author = {Abdellaziz Harrabi and Foued Mtiri and Wafa Mtaouaa},
journal= {arXiv preprint arXiv:2106.03920},
year = {2021}
}