On a nonresonance condition between the first and the second eigenvalues for the p-Laplacian
We are concerned with the existence of solution for the Dirichlet problem −Δpu=f(x,u)+h(x) in Ω, u=0 on ∂Ω, when f(x,u) lies in some sense between the first and the second eigenvalues of the p-Laplacian Δp. Extensions to more general operators which are (p−1)-homogeneous at infinity are also conside...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004628 |
| id |
doaj-6e272eb51d1a4a3e8bb824008abcc73f |
|---|---|
| record_format |
Article |
| spelling |
doaj-6e272eb51d1a4a3e8bb824008abcc73f2020-11-24T22:16:30ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261062563410.1155/S0161171201004628On a nonresonance condition between the first and the second eigenvalues for the p-LaplacianA. Anane0N. Tsouli1Department of Mathematics, Faculty of Sciences, University Mohammed I, Oujda, MoroccoDepartment of Mathematics, Faculty of Sciences, University Mohammed I, Oujda, MoroccoWe are concerned with the existence of solution for the Dirichlet problem −Δpu=f(x,u)+h(x) in Ω, u=0 on ∂Ω, when f(x,u) lies in some sense between the first and the second eigenvalues of the p-Laplacian Δp. Extensions to more general operators which are (p−1)-homogeneous at infinity are also considered.http://dx.doi.org/10.1155/S0161171201004628 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Anane N. Tsouli |
| spellingShingle |
A. Anane N. Tsouli On a nonresonance condition between the first and the second eigenvalues for the p-Laplacian International Journal of Mathematics and Mathematical Sciences |
| author_facet |
A. Anane N. Tsouli |
| author_sort |
A. Anane |
| title |
On a nonresonance condition between the first and the second eigenvalues for the p-Laplacian |
| title_short |
On a nonresonance condition between the first and the second eigenvalues for the p-Laplacian |
| title_full |
On a nonresonance condition between the first and the second eigenvalues for the p-Laplacian |
| title_fullStr |
On a nonresonance condition between the first and the second eigenvalues for the p-Laplacian |
| title_full_unstemmed |
On a nonresonance condition between the first and the second eigenvalues for the p-Laplacian |
| title_sort |
on a nonresonance condition between the first and the second eigenvalues for the p-laplacian |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| description |
We are concerned with the existence of solution for the Dirichlet problem −Δpu=f(x,u)+h(x) in Ω, u=0 on ∂Ω, when f(x,u) lies in some sense between the first and the second eigenvalues of the p-Laplacian Δp. Extensions to more general operators which are (p−1)-homogeneous at infinity are also considered. |
| url |
http://dx.doi.org/10.1155/S0161171201004628 |
| work_keys_str_mv |
AT aanane onanonresonanceconditionbetweenthefirstandthesecondeigenvaluesfortheplaplacian AT ntsouli onanonresonanceconditionbetweenthefirstandthesecondeigenvaluesfortheplaplacian |
| _version_ |
1725789458930860032 |