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...
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007147 |
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doaj-b6f90a3d5d1a4ad6bb2e818625a1b3722020-11-24T23:42:40ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ghasem Alizadeh Afrouzi |
| 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 |
| author_facet |
Ghasem Alizadeh Afrouzi |
| author_sort |
Ghasem Alizadeh Afrouzi |
| title |
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_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_sort |
on the continuity of principal eigenvalues for boundary value
problems with indefinite weight function with respect to radius
of balls in ℝn |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/S0161171202007147 |
| work_keys_str_mv |
AT ghasemalizadehafrouzi onthecontinuityofprincipaleigenvaluesforboundaryvalueproblemswithindefiniteweightfunctionwithrespecttoradiusofballsinrn |
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