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<p>We study asymptotic behavior of sub-solutions to non-uniformly elliptic equations with nonstandard growth. In particular, Harnack type inequalities are proved. Our approach gives new results for the cases with (<i>p</i>,&#xa0;<i>q</i>) nonlinearity and generalized Orlicz growth.</p>

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On asymptotic behavior of solutions to non-uniformly elliptic equations with generalized Orlicz growth: to the memory of Mykhailo Voitovych

  • 期刊论文

  • 发表日期：

    2025年8月12日

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  • O. V. Hadzhy,
  • M. O. Savchenko,
  • I. I. Skrypnik

摘要

We study asymptotic behavior of sub-solutions to non-uniformly elliptic equations with nonstandard growth. In particular, Harnack type inequalities are proved. Our approach gives new results for the cases with (p, q) nonlinearity and generalized Orlicz growth.