Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term

Gianpaolo Piscitelli

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arXiv · 2008.03754

Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term

Gianpaolo Piscitelli

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Abstract

We use "generalized" version of total variation, coarea formulas, isoperimetric inequalities to obtain sharp estimates for solutions (and for their gradients) to anisotropic elliptic equations with a lower order term, comparing them with the solutions to the convex symmetrized ones.

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Gianpaolo Piscitelli. 2020-08-09. Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term. https://arxiv.org/abs/2008.03754

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