Research output: Contribution to journal › Article › peer-review
We obtain an increase in the exponent of integrability of the derivatives of solutions of two classes of boundary-value problems. We derive estimates of the corresponding norms of the solutions. For a class of quasilinear elliptic systems we establish an Lp-estimate of the gradient of the solutions of class Wm1, m > 1, p > m, of a boundary-value problem with nonzero condition on the conormal derivative. To solve Signorini's problem we obtain an Lp-estimate, p > 2, of the second derivatives of an L2-solution with a nonzero one-sided restriction on the conormal derivative. The proof of both results is based on the application of an reverse Hölder inequality with a surface integral established earlier by the author. Bibliography: 5 titles.
Original language | English |
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Pages (from-to) | 3370-3378 |
Number of pages | 9 |
Journal | Journal of Mathematical Sciences |
Volume | 72 |
Issue number | 6 |
DOIs | |
State | Published - 1 Dec 1994 |
ID: 15546875