On Morrey and BMO regularity for gradients of weak solutions to nonlinear elliptic systems with non-differentiable coefficients | Zendy

Josef Daněček | Zendy; Eugen Viszus | Zendy

Open Access

On Morrey and BMO regularity for gradients of weak solutions to nonlinear elliptic systems with non-differentiable coefficients

Author(s) -

Josef Daněček,

Eugen Viszus

Publication year - 2017

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2017.1.11

Subject(s) - mathematics , differentiable function , nonlinear system , mathematical analysis , pure mathematics , physics , quantum mechanics

We consider weak solutions to nonlinear elliptic systems with nondifferentiable coefficients whose principal parts are split into linear and nonlinear ones. Assuming that the nonlinear part g(x, u, z) is equipped by sub-linear growth in z only for big value of |z| (but the growth is arbitrarily close to the linear one), we prove the Morrey and BMO regularity for gradient of weak solutions.

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