Geodesic
Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 49, Tome 508 (2021), pp. 73-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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M. Bildhauer; M. Fuchs. Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 49, Tome 508 (2021), pp. 73-88. http://geodesic.mathdoc.fr/item/ZNSL_2021_508_a2/

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