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Gradient estimate for asymptotically regular elliptic equations of double phase with variable exponents

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  • Shuang Liang
  • Shenzhou Zheng

Abstract

We devote this paper to the proof of a regularity result for the solutions of asymptotically regular elliptic equations with (p(x),q(x))$(p(x),q(x))$‐growth. By approximating the solutions of asymptotically regular problems with the solutions of regular problems based on a new perturbation method while the gradients of solutions close to infinity, we derive an interior Calderón–Zygmund estimate.

Suggested Citation

  • Shuang Liang & Shenzhou Zheng, 2023. "Gradient estimate for asymptotically regular elliptic equations of double phase with variable exponents," Mathematische Nachrichten, Wiley Blackwell, vol. 296(2), pages 701-715, February.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:2:p:701-715
    DOI: 10.1002/mana.202000456
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    References listed on IDEAS

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    1. Junjie Zhang & Shenzhou Zheng, 2018. "Lorentz estimates for asymptotically regular fully nonlinear parabolic equations," Mathematische Nachrichten, Wiley Blackwell, vol. 291(5-6), pages 996-1008, April.
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