Regularity results of solutions of quasilinear systems having singularities in the coefficients
Flavia Giannetti
Università di Napoli Federico II, ItalyGioconda Moscariello
Università di Napoli Federico II, Italy
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Abstract
We consider non-degenerate elliptic systems of the type
where , and has derivatives in the Marcinkiewicz class with sufficiently small distance to . We prove that every weak solution of the system is such that the nonlinear expression of its gradient is weakly differentiable with . Then, we deduce higher differentiability properties for itself and some higher integrability results for its gradient.
Cite this article
Flavia Giannetti, Gioconda Moscariello, Regularity results of solutions of quasilinear systems having singularities in the coefficients. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 3, pp. 597–615
DOI 10.4171/RLM/1020