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Singular solutions of elliptic equations with nonstandard growth
Author(s) -
Lukkari Teemu
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610822
Subject(s) - mathematics , subharmonic function , gravitational singularity , singularity , nonlinear system , mathematical analysis , type (biology) , isolated singularity , elliptic curve , pure mathematics , physics , quantum mechanics , biology , ecology
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 (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)