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

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 generalize...

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Bibliographic Details
Main Authors: Tahir S. Gadjiev, Sardar Y. Aliev
Format: Article
Language:English
Published: Texas State University 2005-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/16/abstr.html