Abstract
Here, the existence and approximation results for degenerated anisotropic -Laplacian with weights
and a competing anisotropic
-Laplacian with weights
are studied with Dirichlet boundary condition and on a bounded smooth domain in
,
where
is a Carathéodory function. The proofs are based on weighted antitropic Sobolev spaces, Nemytskij operators and finite dimensional approximation.
Disclosure statement
No potential conflict of interest was reported by the authors.