Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 16, pp. 1-8.

Title: Estimates for solutions to nonlinear boundary-value 
       problems in conic domains

Authors: Tahir S. Gadjiev (Inst. Math. & Mechanics of NAS, Azerbaijan)
         Sardar Y. Aliev (Baku State Univ., Azerbaijan)
 
Abstract: 
 We obtain sharp estimates on the solution and its
 derivative near the conic points. In particular,
 we show that the solution satisfies
 $|u(x)|\leq C|x|^\lambda$
 where lambda is an eigenvalue of the Sturm-Liouville problem.
 Also we prove that the solution  has square summable
 weighted second generalized derivatives.
 
Submitted January 27, 2004. Published February 1, 2005.
Math Subject Classifications: 35J20, 35D10.
Key Words: Nonlinear equation; behavior of solutions; nonsmooth domain.