Research output: Contribution to journal › Article › peer-review
We consider q-nonlinear nondiagonal elliptic systems, where 1 < q < 2, with strong nonlinear terms in the gradient. Under a smallness condition on the gradient of a solution in the Morrey space Lq,n-q, we estimate the Lp-norm of the gradient for p > q and the Holder norm of the solution for the case n = 2. An abstract theorem on "quasireverse Holder inequalities" proved by the author earlier is used essentially. Bibliography: 24 titles.
Original language | English |
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Pages (from-to) | 255-273 |
Number of pages | 19 |
Journal | Journal of Mathematical Sciences |
Volume | 132 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 2006 |
ID: 15728904