论文信息 - On Morrey’s estimate of the Sobolev norms of solutions of elliptic equations

On Morrey’s estimate of the Sobolev norms of solutions of elliptic equations

We give a complete proof of Morrey’s estimate for the W1,p-norm of a solution of a second-order elliptic equation on a domain in terms of the L1-norm of this solution. The dependence of the constant in this estimate on the coefficients of the equation is investigated.

S. Shaposhnikov

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