Local Integral Estimates for Quasilinear Equations with Measure Data.

ScientificWorldJournal

School of Mathematics and Computer, Northwest University for Nationalities, Lanzhou, Gansu 730030, China.

Published: May 2017

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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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4886069PMC
http://dx.doi.org/10.1155/2016/5742063DOI Listing

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