Small Weights in Caccioppoli’s Inequality and Applications to Liouville-Type Theorems for Nonstandard Problems

Using a variant of Caccioppoli’s inequality involving small weights, i.e., the weights of the form (1+|∇ u |2) − α /2 for some α > 0, several Liouville-type theorems under general nonstandard growth conditions are established.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 283; no. 5; pp. 745 - 755
Main Authors Bildhauer, M., Fuchs, M.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2024
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
Theorems
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Summary:Using a variant of Caccioppoli’s inequality involving small weights, i.e., the weights of the form (1+|∇ u |2) − α /2 for some α > 0, several Liouville-type theorems under general nonstandard growth conditions are established.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07305-8