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An Interior Regularity Property for the Solution to a Linear Elliptic System with Singular Coefficients in the Lower-Order Term

Author

Listed:
  • Teresa Radice

    (Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Complesso Universitario Monte S. Angelo, Via Cintia Edificio T, 80126 Napoli, Italy)

Abstract

This paper deals with the interior higher differentiability of the solution u to the Dirichlet problem related to system − div ( A ( x ) D u ) + B ( x , u ) = f on a bounded Lipschitz domain Ω in R n . The matrix A ( x ) lies in the John and Nirenberg space B M O . The lower-order term B ( x , u ) is controlled with respect to the spatial variable by a function b ( x ) belonging to the Marcinkiewicz space L n , ∞ . The novelty here is the presence of a singular coefficient in the lower-order term.

Suggested Citation

  • Teresa Radice, 2025. "An Interior Regularity Property for the Solution to a Linear Elliptic System with Singular Coefficients in the Lower-Order Term," Mathematics, MDPI, vol. 13(3), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:489-:d:1581451
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