Properties of the first eigenvalue with sign-changing weight of the discrete p-Laplacian and applications
By establishing some results around the first eigenvalue λ1(m) for the following problem: -Δ(φp(Δu(k - 1)))= λm(k)φp(u(k)); k∈ [1; n]; u(0) = 0 = u(n + 1); where m ∈ M([1; n]) = {m : [1; n] → R /∃ k∈ [1; n]; m(k) > 0} ; as the constant sign of the first eigenfunction with λ1(m); the simplicity of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2018-04-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31977 |