On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in ℝN
We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x)=λg(x)u(x), x∈BR(0);u(x)=0, |x|=R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous funct...
| المؤلف الرئيسي: | |
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| التنسيق: | مقال |
| اللغة: | English |
| منشور في: |
Wiley
2002-01-01
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| سلاسل: | International Journal of Mathematics and Mathematical Sciences |
| الوصول للمادة أونلاين: | http://dx.doi.org/10.1155/S0161171202007147 |
| _version_ | 1826827253579776000 |
|---|---|
| author | Ghasem Alizadeh Afrouzi |
| author_facet | Ghasem Alizadeh Afrouzi |
| author_sort | Ghasem Alizadeh Afrouzi |
| collection | DOAJ |
| description | We investigate the continuity of principal eigenvalues (i.e.,
eigenvalues corresponding to positive eigenfunctions) for the
boundary value problem −Δu(x)=λg(x)u(x), x∈BR(0);u(x)=0, |x|=R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R. |
| first_indexed | 2025-02-16T08:28:57Z |
| format | Article |
| id | doaj.art-b6f90a3d5d1a4ad6bb2e818625a1b372 |
| institution | Directory Open Access Journal |
| issn | 0161-1712 1687-0425 |
| language | English |
| last_indexed | 2025-02-16T08:28:57Z |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj.art-b6f90a3d5d1a4ad6bb2e818625a1b3722025-02-03T05:51:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129527928310.1155/S0161171202007147On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in ℝNGhasem Alizadeh Afrouzi0Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, IranWe investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x)=λg(x)u(x), x∈BR(0);u(x)=0, |x|=R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R.http://dx.doi.org/10.1155/S0161171202007147 |
| spellingShingle | Ghasem Alizadeh Afrouzi On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in ℝN International Journal of Mathematics and Mathematical Sciences |
| title | On the continuity of principal eigenvalues for boundary value
problems with indefinite weight function with respect to radius
of balls in ℝN |
| title_full | On the continuity of principal eigenvalues for boundary value
problems with indefinite weight function with respect to radius
of balls in ℝN |
| title_fullStr | On the continuity of principal eigenvalues for boundary value
problems with indefinite weight function with respect to radius
of balls in ℝN |
| title_full_unstemmed | On the continuity of principal eigenvalues for boundary value
problems with indefinite weight function with respect to radius
of balls in ℝN |
| title_short | On the continuity of principal eigenvalues for boundary value
problems with indefinite weight function with respect to radius
of balls in ℝN |
| title_sort | on the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in rn |
| url | http://dx.doi.org/10.1155/S0161171202007147 |
| work_keys_str_mv | AT ghasemalizadehafrouzi onthecontinuityofprincipaleigenvaluesforboundaryvalueproblemswithindefiniteweightfunctionwithrespecttoradiusofballsinrn |