Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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We prove sharp regularity results for a general class of functionals of the type w ↦ ∫ F (x, w,
Dw)\, dx, w↦∫ F (x, w, D w) dx, featuring non-standard growth conditions and non-uniform …

We prove sharp regularity theorems for minimisers of a class of variational integrals whose
integrand switches between two different types of degenerate elliptic phases, according to …

Definition 1 implies that local minimisers are automatically in W 1, p loc (Ω). We immediately
say that since all the regularity properties of local minimisers treated in this paper are local in …

We provide a general approach to Lipschitz regularity of solutions for a large class of vector-
valued, nonautonomous variational problems exhibiting nonuniform ellipticity. The …

Harnack inequalities for double phase functionals - ScienceDirect Skip to main contentSkip to
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Minima of functionals of the type w ↦ ∫ Ω | D w | log ( 1 + | D w | ) + a ( x ) | D w | q d x , 0 ≤
a ( · ) ∈ C 0 , α , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …

The class of non-autonomous functionals under study is characterized by the fact that the
energy density changes its ellipticity and growth properties according to the point; some …

We consider a class of non-uniformly nonlinear elliptic equations whose model is given by−
div (| D u| p− 2 D u+ a (x)| D u| q− 2 D u)=− div (| F| p− 2 F+ a (x)| F| q− 2 F) where p< q and a …

Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
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