| Abstract: |
| A class of nonlinear, fully anisotropic variational problems whose anisotropy is governed by a general $n$-dimensional convex function of the gradient is analyzed.
Global boundedness
for both solutions to fully anisotropic nonlinear elliptic Dirichlet problems, and minima of fully anisotropic variational integrals, is established under general growth conditions, not necessarily of power type.
The results unify and extend several existing contributions in the literature, yielding new regularity conclusions across a variety of anisotropic frameworks. |
|