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On Morrey’s estimate of the Sobolev norms of solutions of elliptic equations |
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| Authors: | S V Shaposhnikov |
| Institution: | (1) M. V. Lomonosov Moscow State University, Russia |
| Abstract: | We give a complete proof of Morrey’s estimate for the W 1,p -norm of a solution of a second-order elliptic equation on a domain in terms of the L 1-norm of this solution. The dependence of the constant in this estimate on the coefficients of the equation is investigated. |
| Keywords: | elliptic equation Sobolev norm Sobolev space weak solution Fubini’ s theorem H?lder’ s inequality Lebesgue integral |
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