English

Nonexistence of global positive solutions for p-Laplacian equations with non-linear memory

Analysis of PDEs 2021-10-05 v1

Abstract

The Cauchy problem in Rd,\mathbb{R}^d, d1,d\geq 1, for a non-local in time p-Laplacian equations is considered. The nonexistence of nontrivial global weak solutions by using the test function method is obtained.

Keywords

Cite

@article{arxiv.2110.00729,
  title  = {Nonexistence of global positive solutions for p-Laplacian equations with non-linear memory},
  author = {Mokhtar Kirane and Ahmad Z. Fino and Sebti Kerbal},
  journal= {arXiv preprint arXiv:2110.00729},
  year   = {2021}
}