Approximation of the Sobolev trace constant.

Rossi, Julio D.

Displaying similar documents to “Approximation of the Sobolev trace constant.”

Boundary eigencurve problems involving the $p$ -Laplacian operator.

El Khalil, Abdelouahed, Ouanan, Mohammed (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces.

Petteri Harjulehto, Peter Hästö (2004)

Revista Matemática Complutense

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We study the Poincaré inequality in Sobolev spaces with variable exponent. Under a rather mild and sharp condition on the exponent p we show that the inequality holds. This condition is satisfied e.g. if the exponent p is continuous in the closure of a convex domain. We also give an essentially sharp condition for the exponent p as to when there exists an imbedding from the Sobolev space to the space of bounded functions.

On the spectrum of the $p$ -Laplacian operator for Neumann eigenvalue problems with weights.

El Habib, Siham, Tsouli, Najib (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On the first eigenvalue of the Steklov eigenvalue problem for the infinity Laplacian.

Le, An (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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An optimal endpoint trace embedding

Andrea Cianchi, Luboš Pick (2010)

Annales de l’institut Fourier

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We find an optimal Sobolev-type space on $ℝ^{n}$ all of whose functions admit a trace on subspaces of $ℝ^{n}$ of given dimension. A corresponding trace embedding theorem with sharp range is established.