On some nonlinear fractional equations involving the Bessel operator

Simone Secchi

On some nonlinear fractional equations involving the Bessel operator

Analysis of PDEs 2015-06-15 v1

Authors: Simone Secchi

Abstract

Under different assumptions on the potential functions $b$ and $c$ , we study the fractional equation $\left( I-\Delta \right)^{\alpha} u = \lambda b(x) |u|^{p-2}u+c(x)|u|^{q-2}u$ in $\mathbb{R}^N$ . Our existence results are based on compact embedding properties for weighted spaces.

Keywords

nonlinear fractional equation Bessel operator potential function existence result compact embedding weighted space

Cite

@article{arxiv.1506.03982,
  title  = {On some nonlinear fractional equations involving the Bessel operator},
  author = {Simone Secchi},
  journal= {arXiv preprint arXiv:1506.03982},
  year   = {2015}
}

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