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February 5, 2026Computational and Applied MathematicsOpen Access

Radial symmetry and fractional p-Laplacian equation

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Authors

JSJ. Vanterler da C. SousaUniversidade Estadual do MaranhãoJSJ. C. A. SoaresUniversidade do Estado de Mato GrossoFCF. S. CostaUniversidade Estadual do Maranhão

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Implication

Explores radial symmetry in fractional p-Laplacian equations, highlighting implications for mathematical modeling.

Key Points

  • The aim is to investigate whether specific functions satisfy the fractional p-Laplacian equation under radial symmetry conditions.
  • Discussion of fractional p-Laplacian equations and their symmetry properties.
  • Proof of eigenvalue conditions for radial symmetry functions in specific functional spaces.
  • Presentation of examples and applications relevant to the findings.
  • Found that certain functions can either be positive or negative solutions to the fractional p-Laplacian equation.
  • Demonstrated conditions under which these functions exhibit radial symmetry in the defined space.
  • Provided examples illustrating the application of these theoretical results in practical scenarios.

Cite This Study

Sousa et al. (2026) studied this question.

synapsesocial.com/papers/698435fff1d9ada3c1fb573ehttps://doi.org/10.1007/s40314-025-03599-9
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