Local Integral Estimates for Quasilinear Equations with Measure Data. (17th May 2016)

• Record Type: Journal Article
• Authors: Tian, Qiaoyu; Zhang, Shengzhi; Xu, Yonglin; Mu, Jia
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2016(2016)
• Publication Date: 2016-05-17
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2016/5742063
• Languages: English
• ISSNs: 2356-6140

Abstract

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 .