DIRICHLET PROBLEMS WITH ANISOTROPIC PRINCIPAL PART INVOLVING UNBOUNDED COEFFICIENTS
- Autori: Motreanu D.; Tornatore E.
- Anno di pubblicazione: 2024
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/636153
Abstract
This article establishes the existence of solutions in a weak sense for a quasilinear Dirichlet problem exhibiting anisotropic differential operator with unbounded coefficients in the principal part and full dependence on the gradient in the lower order terms. A major part of this work focuses on the existence of a uniform bound for the solution set in the anisotropic setting. The unbounded coefficients are handled through an appropriate truncation and a priori estimates.