Local Integral Estimates for Quasilinear Equations with Measure Data. (17th May 2016) - Tian, Qiaoyu
Abstract : Local integral estimates as well as local nonexistence results for a class of quasilinear equations- Δ p u = σ P ( u ) + ω forp > 1 and Hessian equationsF k - u = σ P ( u ) + ω were established, whereσ is a nonnegative locally integrable function or, more generally, a locally finite measure, ω is a positive Radon measure, andP ( u ) ~ exp ⁡ α u β withα > 0 andβ ≥ 1 orP ( u ) = u p - 1 .