Singular solutions of elliptic equations with nonstandard growth | Zendy

Lukkari Teemu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research