Local Integral Estimates for Quasilinear Equations with Measure Data.
Local integral estimates as well as local nonexistence results for a class of quasilinear equations -Δ p u = σP(u) + ω for p > 1 and Hessian equations F k [-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⁡αu (β) with α > 0 and β ≥ 1 or P(u) = u (p-1).
School of Mathematics and Computer, Northwest University for Nationalities, Lanzhou, Gansu 730030, China.
Qiaoyu
Q
Tian
Department of Mathematics, Gansu Normal University for Nationalities, Hezuo, Gansu 747000, China.
Shengzhi
S
Zhang
School of Mathematics and Computer, Northwest University for Nationalities, Lanzhou, Gansu 730030, China.
Yonglin
Y
Xu
School of Mathematics and Computer, Northwest University for Nationalities, Lanzhou, Gansu 730030, China.
Jia
J
Mu