Eigenvalue problem for the weighted $p$-Laplacian
Szlachtowska, Ewa ; Mielczarek, Dominik
Tatra Mountains Mathematical Publications, Tome 62 (2015), / Harvested from Mathematical Institute
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In this paper we are concerned with the nonlinear eigenvalue problem forthe weighted $p$-Laplacian. The main result of the work is the existence of theeigenpair for the Dirichlet problem provided that the weights are bounded.Furthermore, under this assumption the eigenvector belongs to the Sobolevspace $W^{1p}_0 (\Omega)$.

Publié le : 2015-01-01
DOI : https://doi.org/10.2478/tatra.v63i0.284 
@article{284,
     title = {Eigenvalue problem for the weighted $p$-Laplacian},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {62},
     year = {2015},
     doi = {10.2478/tatra.v63i0.284},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/284}
}

Szlachtowska, Ewa; Mielczarek, Dominik. Eigenvalue problem for the weighted $p$-Laplacian. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v63i0.284. http://gdmltest.u-ga.fr/item/284/