<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper we analyze the problem - Qpu(x) = λu(x) when x∈Ω with u(x) = 0 when x∈Ω , where Ω⊂ℝN is a bounded domain, Qp stands for Finsler p-Laplacian and <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/auom-2016-0013_001.jpg"></inline-graphic> \ {2} is a given realnumber. Using adequate variational methods we show that the set ofeigenvalues of this problem is the interval (0, ∞).</abstract>

In this paper we analyze the problem - Qpu(x) = λu(x) when x∈Ω with u(x) = 0 when x∈Ω , where Ω⊂ℝN is a bounded domain, Qp stands for Finsler p-Laplacian and  \ {2} is a given realnumber. Using adequate variational methods we show that the set ofeigenvalues of this problem is the interval (0, ∞).

Eigenvalues for Finsler p-Laplacian with zero Dirichlet boundary condition

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"Eigenvalues for Finsler p-Laplacian with zero Dirichlet boundary condition"}

In this paper we analyze the problem - Qpu(x) = λu(x) when x∈Ω with u(x) = 0 when x∈Ω , where Ω⊂ℝN is a bounded domain, Qp stands for Finsler p-Laplacian and ...

Eigenvalues for Finsler p-Laplacian with zero Dirichlet boundary condition

Publié en ligne: 21 sept. 2017

Pages: 231 - 242

Reçu: 01 juin 2014

Accepté: 01 juin 2014

DOI: https://doi.org/10.1515/auom-2016-0013

Mots clés
eigenvalue problem, p-Laplacian, weak solution

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Eigenvalues for Finsler p-Laplacian with zero Dirichlet boundary condition

Publié en ligne: 21 sept. 2017

Pages: 231 - 242

Reçu: 01 juin 2014

Accepté: 01 juin 2014

DOI: https://doi.org/10.1515/auom-2016-0013

Mots cléseigenvalue problem, p-Laplacian, weak solution

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
eigenvalue problem, p-Laplacian, weak solution