The functionals of double phase type H (u):=∫| D u| p+ a (x)| D u| qdx,(q> p> 1, a (x)≥ 0) are
introduced in the epoch-making paper by Colombo-Mingione for constants p and q, and …

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 …

The field of variable exponent function spaces has witnessed an explosive growth in recent
years. The standard reference article for basic properties is already 20 years old. Thus this …

Harnack inequalities for double phase functionals - ScienceDirect Skip to main contentSkip to
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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 prove regularity results for weak solutions to systems modelling electro-rheological fluids
in the stationary case, as proposed in [27, 31]; a particular case of the system we consider is …

Regularity Results for a Class of Functionals with Non-Standard Growth Page 1 Arch. Rational
Mech. Anal. 156 (2001) 121–140 Digital Object Identifier (DOI) 10.1007/s002050100117 …

Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
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This paper studies the eigenvalues of the p (x)-Laplacian Dirichlet problem [Formula: see
text] where Ω is a bounded domain in RN and p (x) is a continuous function on Ω ̄ such that …