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A Local Boundedness Result for a Class of Obstacle Problems with Non-Standard Growth Conditions

Author

Listed:
  • Mariapia Rosa

    (Università degli Studi di Napoli “Federico II”)

  • Antonio Giuseppe Grimaldi

    (Università degli Studi di Napoli “Federico II”)

Abstract

We prove the local boundedness for solutions to a class of obstacle problems with non-standard growth conditions. The novelty here is that we are able to establish the local boundedness under a sharp bound on the gap between the growth exponents.

Suggested Citation

  • Mariapia Rosa & Antonio Giuseppe Grimaldi, 2022. "A Local Boundedness Result for a Class of Obstacle Problems with Non-Standard Growth Conditions," Journal of Optimization Theory and Applications, Springer, vol. 195(1), pages 282-296, October.
    • Handle: RePEc:spr:joptap:v:195:y:2022:i:1:d:10.1007_s10957-022-02084-1
    DOI: 10.1007/s10957-022-02084-1
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    References listed on IDEAS

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    1. Giovanni Cupini & Paolo Marcellini & Elvira Mascolo, 2015. "Local Boundedness of Minimizers with Limit Growth Conditions," Journal of Optimization Theory and Applications, Springer, vol. 166(1), pages 1-22, July.
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    Cited by:

    1. Filomena Feo & Antonia Passarelli di Napoli & Maria Rosaria Posteraro, 2024. "Local Boundedness for Minimizers of Anisotropic Functionals with Monomial Weights," Journal of Optimization Theory and Applications, Springer, vol. 201(3), pages 1313-1332, June.

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