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...

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Detalles Bibliográficos
Autores principales: Tian, Qiaoyu, Zhang, Shengzhi, Xu, Yonglin, Mu, Jia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4886069/
https://www.ncbi.nlm.nih.gov/pubmed/27294190
http://dx.doi.org/10.1155/2016/5742063
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author Tian, Qiaoyu
Zhang, Shengzhi
Xu, Yonglin
Mu, Jia
author_facet Tian, Qiaoyu
Zhang, Shengzhi
Xu, Yonglin
Mu, Jia
author_sort Tian, Qiaoyu
collection PubMed
description 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).
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spelling pubmed-48860692016-06-12 Local Integral Estimates for Quasilinear Equations with Measure Data Tian, Qiaoyu Zhang, Shengzhi Xu, Yonglin Mu, Jia ScientificWorldJournal Research Article 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). Hindawi Publishing Corporation 2016 2016-05-17 /pmc/articles/PMC4886069/ /pubmed/27294190 http://dx.doi.org/10.1155/2016/5742063 Text en Copyright © 2016 Qiaoyu Tian et al. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Tian, Qiaoyu
Zhang, Shengzhi
Xu, Yonglin
Mu, Jia
Local Integral Estimates for Quasilinear Equations with Measure Data
title Local Integral Estimates for Quasilinear Equations with Measure Data
title_full Local Integral Estimates for Quasilinear Equations with Measure Data
title_fullStr Local Integral Estimates for Quasilinear Equations with Measure Data
title_full_unstemmed Local Integral Estimates for Quasilinear Equations with Measure Data
title_short Local Integral Estimates for Quasilinear Equations with Measure Data
title_sort local integral estimates for quasilinear equations with measure data
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4886069/
https://www.ncbi.nlm.nih.gov/pubmed/27294190
http://dx.doi.org/10.1155/2016/5742063
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AT zhangshengzhi localintegralestimatesforquasilinearequationswithmeasuredata
AT xuyonglin localintegralestimatesforquasilinearequationswithmeasuredata
AT mujia localintegralestimatesforquasilinearequationswithmeasuredata

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