Abstract
The existence of eigenfunctions for a class of fully anisotropic elliptic equations is established.
The relevant equations are associated with constrained minimization problems for integral func-
tionals depending on the gradient of competing functions through general anisotropic Young
functions. In particular, the latter need neither be radial, nor have a polynomial growth, and
are not even assumed to satisfy the so called \Delta_2-condition. In particular, our analysis requires
the development of some new aspects of the theory of anisotropic Orlicz-Sobolev spaces. This is
a joint work with G. di Blasio and F. Feo.
Anno
2021
Autori IAC
Tipo pubblicazione
Altri Autori
Angela Alberico