Estimates for solutions to nonlinear boundary-value problems in conic domains
Tahir Gadjiev, Sardar Aliev · DOAJ (DOAJ: Directory of Open Access Journals) · 2005
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.