The anisotropic p-Laplacian version of the Brezis-Nirenberg problem admits positive weak solutions under the same eigenvalue and dimension conditions as the isotropic case.
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Brezis-Nirenberg-type results for the anisotropic $p$-Laplacian
The anisotropic p-Laplacian version of the Brezis-Nirenberg problem admits positive weak solutions under the same eigenvalue and dimension conditions as the isotropic case.