Wolff potential estimates for elliptic equations with nonstandard growth and applications

• Published in: Forum mathematicum Vol. 22; no. 6; pp. 1061 - 1087
• Main Authors: Lukkari, Teemu, Maeda, Fumi-Yuki, Marola, Niko
• Format: Journal Article
• Language: English
• Published: Berlin Walter de Gruyter GmbH & Co. KG 01.11.2010; Walter de Gruyter GmbH
• Subjects: Estimates; Exponents; Mathematical analysis; Sobolev space; Superharmonics; Theorems

We study superharmonic functions related to elliptic equations with structural conditions involving a variable growth exponent. We establish pointwise estimates for such functions in terms of a Wolff type potential. We apply these estimates to prove a variable exponent version of the Hedberg–Wolff t...