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Wolff Potential Estimates for Supersolutions of Equations with Generalized Orlicz Growth

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Abstract

In this paper, we establish pointwise estimates for supersolutions of quasilinear elliptic equations with structural conditions involving a generalized Orlicz growth in terms of a Wolff type potential. As a consequence, under an extra assumption, we obtain that the supersolutions satisfy a Harnack inequality and local Hölder continuity.

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Acknowledgements

We would like to thank the referees for their comments and remarks.

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Authors and Affiliations

  1. Department of Mathematics, Ibn Tofail University, BP 133, Kenitra, Morocco

    Allami Benyaiche & Ismail Khlifi

  2. Laboratory: PDE, Algebra and Spectral Geometry, Kenitra, Morocco

    Allami Benyaiche & Ismail Khlifi

Authors
  1. Allami Benyaiche
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  2. Ismail Khlifi
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Correspondence to Allami Benyaiche.

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Benyaiche, A., Khlifi, I. Wolff Potential Estimates for Supersolutions of Equations with Generalized Orlicz Growth. Potential Anal 58, 761–783 (2023). https://doi.org/10.1007/s11118-021-09958-5

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  • DOI: https://doi.org/10.1007/s11118-021-09958-5

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