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arXiv · 2105.03908

Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems

Michael Bildhauer·Martin Fuchs
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Abstract

Using a variant of Caccioppoli's inequality involving small weights, i.e. weights of the form $(1+|\nabla u|^2)^{-\alpha/2}$ for some $\alpha > 0$, we establish several Liouville-type theorems under general non-standard growth conditions.

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Michael Bildhauer, Martin Fuchs. 2021-05-09. Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems. https://arxiv.org/abs/2105.03908

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