English

Uniform $L^{\infty}$-boundedness for solutions of anisotropic quasilinear systems

Analysis of PDEs 2026-01-26 v1

Abstract

In this paper we obtain uniformly locally LL^{\infty}-estimate of solutions to non-autonomous quasilinear system involving operators in divergence form and a family of nonlinearities that are allowed to grow also critically.

Keywords

Cite

@article{arxiv.2601.16673,
  title  = {Uniform $L^{\infty}$-boundedness for solutions of anisotropic quasilinear systems},
  author = {Natalino Borgia and Silvia Cingolani and Giuseppina Vannella},
  journal= {arXiv preprint arXiv:2601.16673},
  year   = {2026}
}