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arXiv · 2501.09486

Local boundedness and higher integrability for the sub-critical singular porous medium system

Verena Bögelein·Frank Duzaar·Ugo Gianazza·Naian Liao
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Abstract

The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the critical and sub-critical, singular case and complete the program.

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Verena Bögelein, Frank Duzaar, Ugo Gianazza, Naian Liao. 2025-01-16. Local boundedness and higher integrability for the sub-critical singular porous medium system. https://arxiv.org/abs/2501.09486

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