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

Natalino Borgia; Silvia Cingolani; Giuseppina Vannella

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arXiv · 2601.16673

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

Natalino Borgia·Silvia Cingolani·Giuseppina Vannella

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Abstract

In this paper we obtain uniformly locally $L^{\infty}$-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.

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Natalino Borgia, Silvia Cingolani, Giuseppina Vannella. 2026-01-23. Uniform $L^{\infty}$-boundedness for solutions of anisotropic quasilinear systems. https://arxiv.org/abs/2601.16673

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