Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
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In this paper we study the regularity of weak solutions of the elliptic system-div (A (x,∇ u))= b
(x,∇ u) with non-standard ϕ-growth condition. Here ϕ is a given Orlicz function. We are …

General Growth Conditions Page 1 JOURNAL OF DIFFERENTIAL EQUATIONS 105, 296-333
(1993) Regularity for Elliptic Equations with General Growth Conditions Paolo Marcelltni …

We study robust regularity estimates for local minimizers of nonlocal functionals with non-
standard growth of (p, q)-type and for weak solutions to a related class of nonlocal …

Differential forms have been widely studied and used in many fields, such as physics,
general relativity, theory of elasticity, quasiconformal analysis, electromagnetism, and …

Max-Planck-Institut Page 1 Max-Planck-Institut füur Mathematik in den Naturwissenschaften
Leipzig A Gamma-convergence result for the two- gradient theory of phase transitions (revised …

We consider divergence type elliptic equations with L^ p (⋅)\log LL p (·) log L growth. For
those equations, we derive global Calderón–Zygmund type estimates in a nonsmooth …

REGULARITY UNDER SHARP ANISOTROPIC GENERAL GROWTH CONDITIONS Giovanni
Cupini, Paolo Marcellini and Elvira Mascolo 1. Introductio Page 1 DISCRETE AND …

This result is well-known when, A (t)= tp with p> 1 (see [11]). An extension to the case
where$ with$ is in [9]. In [12] a result similar to Theorem 1.1 is proved, but only in the nearly …