Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators
We consider the semilinear elliptic eigenvalue problem {Lu+f(x,u)=μu in Ωr(r≥0),u=0 on ∂Ωr. The asymptotic behavior of the variational eigenvalues μ=μn(r,α) obtained by Ljusternik-Schnirelman theory is studied when the domain Ω0 is deformed continuously. We also consider the cases that Vol(Ωr)→...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171296000944 |