Gadjiev, Tahir S.Aliev, Sardar Y.2021-05-182021-05-182005-03-18Gadjiev, T. S., & Aliev, S. Y. (2005). Estimates for solutions to nonlinear boundary-value problems in conic domains. <i>Electronic Journal of Differential Equations, 2005</i>(16), pp. 1-8.1072-6691https://hdl.handle.net/10877/13587We obtain sharp estimates on the solution and its derivative near the conic points. In particular, we show that the solution satisfies |u(x)| ≤ C|x|λ where lambda is an eigenvalue of the Sturm-Liouville problem. Also we prove that the solution has square summable weighted second generalized derivatives.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear equationBehavior of solutionsNonsmooth domainArticle