English

Renormalized solutions for the fractional p(x)-Laplacian equation with L^1 data

Analysis of PDEs 2017-08-16 v1

Abstract

In this paper, we prove the existence and uniqueness of nonnegative renormalized solutions for the fractional p(x)-Laplacian problem with L1 data. Our results are new even in the constant exponent fractional p-Laplacian equation case.

Keywords

Cite

@article{arxiv.1708.04481,
  title  = {Renormalized solutions for the fractional p(x)-Laplacian equation with L^1 data},
  author = {Chao Zhang and Xia Zhang},
  journal= {arXiv preprint arXiv:1708.04481},
  year   = {2017}
}

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22 pages