Fernando Farroni

Estimates for

We study some Dirichlet problem for a

p

p

-Laplace type equation in a limiting case

--Laplacian type operator in the setting of Orlicz--Zygmund space

Explicit Bounds and Sharp Results for the Composition Operators Preserving the Exponential Class

L^q\log^{-\alpha}L(\Omega,\mathbb R^N)

An Example of a Functional which is Weakly Lower Semicontinuous on

,

W_0^{1,p}

q >1

for every

and

p>2

\alpha>0

but not on

. More precisely, our aim is to establish which assuptions on the parameter

H_0^1

\alpha>0