Some exact estimates of weak solutions to a mixed boundary value problem for nonlinear equations in domains with nonsmooth boundary. (Russian, English) Zbl 1097.35055
Sib. Mat. Zh. 46, No. 2, 325-331 (2005); translation in Sib. Math. J. 46, No. 2, 254-259 (2005).
Summary: We obtain the exact estimates of the rate of decrease and some estimates for the modulus of the gradient of the solution in a neighborhood of a conical point of the boundary.
MSC:
| 35J65 | Nonlinear boundary value problems for linear elliptic equations |
| 35B35 | Stability in context of PDEs |
| 35A20 | Analyticity in context of PDEs |
