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 …

Differential equations with non-standard growth have been a very active field of investigation
in recent years. In this survey we present an overview of the field, as well as several of the …

Partial continuity for elliptic problems Continuité partielle pour des problèmes elliptiques Page
1 Ann. IH Poincaré – AN 25 (2008) 471–503 www.elsevier.com/locate/anihpc Partial continuity …

Harmonic type approximation lemmas Page 1 J. Math. Anal. Appl. 352 (2009) 301–335 www.elsevier.com/locate/jmaa
Harmonic type approximation lemmas Frank Duzaara, Giuseppe Mingioneb,∗ a Institute for …

J. Math. Anal. Appl. Regularity results for a class of obstacle problems under nonstandard
growth conditions Page 1 J. Math. Anal. Appl. 344 (2008) 1120–1142 Contents lists available at …

In this paper we study elliptic equations with a nonlinear conormal derivative boundary
condition involving nonstandard growth terms. By means of the localization method and De …

We prove C0, α regularity for local minimizers u of functionals with p (x)‐growth of the type
article amssymb empty\mathcal F (w, Ω):= ∫ _ Ω f (x, w (x), Dw (x))\, dx, in the class article …

GRADIENT ESTIMATES VIA NON STANDARD POTENTIALS AND CONTINUITY Page 1
Annales Academiæ Scientiarum Fennicæ Mathematica Volumen 35, 2010, 641–678 GRADIENT …

For weak solutions of nonlinear elliptic systems of the type-\rm div a (x, u (x), Du (x))= 0, with
nonstandard p (x) growth, we show interior partial Hölder continuity for any Hölder exponent …

We study non-linear parabolic systems with non-standard p (z)-growth conditions and
establish that the gradient of weak solutions is locally Hölder continuous with Hölder …