Convergence for the fractional $p$-Laplacian and its corresponding extended Nirenberg problem

Zhiwen Zhao

Convergence for the fractional $p$-Laplacian and its corresponding extended Nirenberg problem

Analysis of PDEs 2022-03-02 v1

Authors: Zhiwen Zhao

Abstract

The main objective of this paper is to establish the convergence for the fractional $p$ -Laplacian of nonnegative sequence of functions with $p>2$ . Further, we show the blow-up phenomena for solutions to the extended Nirenberg problem modeled by fractional $p$ -Laplacian with the prescribed negative functions.

Keywords

fractional p-Laplacian convergence blow-up phenomena extended Nirenberg problem nonnegative sequence prescribed negative functions

Cite

@article{arxiv.2203.00627,
  title  = {Convergence for the fractional $p$-Laplacian and its corresponding extended Nirenberg problem},
  author = {Zhiwen Zhao},
  journal= {arXiv preprint arXiv:2203.00627},
  year   = {2022}
}

Related papers

View all related →