Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights
Consider the half-eigenvalue problem (ϕp(x′))′+λa(t)ϕp(x+)−λb(t)ϕp(x−)=0 a.e. t∈[0,1], where 1<p<∞, ϕp(x)=|x|p−2x, x±(⋅)=max{±x(⋅), 0} for x∈𝒞0:=C([0,1],ℝ), and a(t) and b(t) are indefinite integrable weights in the Lebesgue space ℒγ:=Lγ([0,1],ℝ),1≤γ≤∞. We characterize the spectra structur...
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| Autores principales: | , |
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| Formato: | Artigo |
| Lenguaje: | Inglês |
| Publicado: |
Wiley
2009-01-01
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| Colección: | Abstract and Applied Analysis |
| Acceso en línea: | http://dx.doi.org/10.1155/2009/109757 |
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