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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004628 |