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September 5, 2025Forum MathematicumOpen Access

The limit of a nonlocal p-Laplacian obstacle problem with nonhomogeneous term as p → ∞

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Authors

SDSamer Dweik

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Overview

Analysis reveals the limiting behavior of minimizers in the nonlocal p-Laplacian obstacle problem, suggesting Hölder regularity under specific conditions.

Key Points

  • The results detail the asymptotic behavior of minimizers related to the p-Laplacian as p approaches infinity.
  • Analyzing solutions within a bounded Lipschitz domain shows convergence of minimizers towards a limit problem.
  • The study employs mathematical analysis techniques surrounding the nonhomogeneous term and the p-Laplacian framework.
  • Hölder regularity is investigated for solutions to the limit problem, expanding the results even with non-smooth functions.

Cite This Study

Samer Dweik (2025) studied this question.

synapsesocial.com/papers/68bb42272b87ece8dc958d34https://doi.org/10.1515/forum-2025-0085
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