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arXiv · 1210.6565

Lp-integrability of the gradient of solutions to quasilinear systems with discontinuous coefficients

Lubomira G. Softova
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Abstract

The Dirichlet problem for a class of quasilinear elliptic systems of equations with small-BMO coefficients in Reifenberg-flat domain is considered. The lower order terms supposed to satisfy controlled growth conditions. It is obtained Lp-integrability with p>2 of the gradient of the solution where p depends explicitly on the data. An analogous result is obtained also for the Cauchy-Dirichlet problem for quasilinear parabolic systems.

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Lubomira G. Softova. 2012-10-24. Lp-integrability of the gradient of solutions to quasilinear systems with discontinuous coefficients. https://arxiv.org/abs/1210.6565

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