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Singular solutions of elliptic equations with nonstandard growth

✍ Scribed by Teemu Lukkari

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
209 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We prove a removability result for nonlinear elliptic equations with__p__ (x)‐type nonstandard growth and estimate the growth of solutions near a nonremovable isolated singularity. To accomplish this, we employ a Harnack estimate for possibly unbounded solutions and the fact that solutions with nonremovable isolated singularities are p (x)‐superharmonic functions (Β© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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