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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/16/abstr.html |
| _version_ | 1831681115756167168 |
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| author | Tahir S. Gadjiev Sardar Y. Aliev |
| author_facet | Tahir S. Gadjiev Sardar Y. Aliev |
| author_sort | Tahir S. Gadjiev |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T05:50:48Z |
| format | Article |
| id | doaj.art-625b1c503ddd416dab0a1db45da99793 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-20T05:50:48Z |
| publishDate | 2005-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-625b1c503ddd416dab0a1db45da997932022-12-21T19:51:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-02-0120051618Estimates for solutions to nonlinear boundary-value problems in conic domainsTahir S. GadjievSardar Y. AlievWe 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.http://ejde.math.txstate.edu/Volumes/2005/16/abstr.htmlNonlinear equationbehavior of solutionsnonsmooth domain. |
| spellingShingle | Tahir S. Gadjiev Sardar Y. Aliev Estimates for solutions to nonlinear boundary-value problems in conic domains Electronic Journal of Differential Equations Nonlinear equation behavior of solutions nonsmooth domain. |
| title | Estimates for solutions to nonlinear boundary-value problems in conic domains |
| title_full | Estimates for solutions to nonlinear boundary-value problems in conic domains |
| title_fullStr | Estimates for solutions to nonlinear boundary-value problems in conic domains |
| title_full_unstemmed | Estimates for solutions to nonlinear boundary-value problems in conic domains |
| title_short | Estimates for solutions to nonlinear boundary-value problems in conic domains |
| title_sort | estimates for solutions to nonlinear boundary value problems in conic domains |
| topic | Nonlinear equation behavior of solutions nonsmooth domain. |
| url | http://ejde.math.txstate.edu/Volumes/2005/16/abstr.html |
| work_keys_str_mv | AT tahirsgadjiev estimatesforsolutionstononlinearboundaryvalueproblemsinconicdomains AT sardaryaliev estimatesforsolutionstononlinearboundaryvalueproblemsinconicdomains |