Title of article :
Local Integral Estimates for Quasilinear Equations with Measure Data
Author/Authors :
Tian, Qiaoyu School of Mathematics and Computer - Northwest University for Nationalities - Lanzhou - Gansu 730030 - China , Zhang, Shengzhi Department of Mathematics - Gansu Normal University for Nationalities - Hezuo - Gansu 747000, China , Xu, Yonglin School of Mathematics and Computer - Northwest University for Nationalities - Lanzhou - Gansu 730030 - China , Mu, Jia School of Mathematics and Computer - Northwest University for Nationalities - Lanzhou - Gansu 730030 - China
Abstract :
Local integral estimates as well as local nonexistence results for a class of quasilinear equations −Δ𝑝𝑢 = 𝜎𝑃(𝑢) + 𝜔 for 𝑝>1 and Hessian equations 𝐹𝑘[−𝑢] = 𝜎𝑃(𝑢) + 𝜔 were established, where 𝜎 is a nonnegative locally integrable function or, more generally, a locally finite measure, 𝜔 is a positive Radon measure, and 𝑃(𝑢) ∼ exp 𝛼𝑢𝛽 with 𝛼>0 and 𝛽≥1 or 𝑃(𝑢) = 𝑢𝑝−1.
Keywords :
Local Integral Estimates , Quasilinear Equations , Measure Data
Journal title :
The Scientific World Journal
