Eigenvalue problem for the weighted $p$-Laplacian

Year, pages: 2015, 269 - 281

In this paper we are concerned with the nonlinear eigenvalue problem for the weighted p-Laplacian. The main result of the work is the existence of the eigenpair for the Dirichlet problem provided that the weights are bounded. Furthermore, under this assumption the eigenvector belongs to the Sobolev space $W^{1,p}_0(\Omega)$.

Szlachtowska, E., Mielczarek, D. 2015. Eigenvalue problem for the weighted $p$-Laplacian. In Tatra Mountains Mathematical Publications, vol. 63, no.2, pp. 269-281. 1210-3195.

Szlachtowska, E., Mielczarek, D. (2015). Eigenvalue problem for the weighted $p$-Laplacian. Tatra Mountains Mathematical Publications, 63(2), 269-281. 1210-3195.