4 Result(s)
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Article
The limit as \(p\rightarrow \infty \) in the eigenvalue problem for a system of p-Laplacians
In this paper, we study the behavior as \(p\rightarrow \infty \) ...
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Article
On the Sobolev trace Theorem for variable exponent spaces in the critical range
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give lo...
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Article
Estimates for the Sobolev trace constant with critical exponent and applications
In this paper we find estimates for the optimal constant in the critical Sobolev trace inequality $$S\|u\|_{L^{p_*}(\partial\Omega)}^p...
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Article
Stability and perturbations of the domain for the first eigenvalue of the 1-Laplacian
We study the dependence of the first eigenvalue of the 1-Laplacian with respect to perturbations of the domain. We provide results ranging from general type of perturbations to regular perturbations by diffeom...
