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