BOUNDARY ESTIMATE FOR THE GRADIENT OF A SOLUTION TO THE DIRICHLET PROBLEM FOR (p,q)-NONLINEAR EQUATIONS

摘要

(p, q)-Nonlinear elliptic equations are considered, where p, q, p < q, characterize the growth with respect to the gradient of eigenvalues of the principle matrix. Under the condition 2 ≤ p < q, q — p < 2/(n~2+n)p, an a priori estimate for the maximum of the modulus of the gradient of a solution to the Dirichlet problem is obtained. Bibliography: 8 titles.