Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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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 describe some aspects of the process/approach to interior regularity of weak solutions to
a class of nonlinear elliptic equations in divergence form, as well as of minimizers of …

Maximal regularity for local minimizers of non-autonomous functionals Page 1 © 2021
European Mathematical Society Published by EMS Press. This work is licensed under a CC BY …

We consider regularity issues for minima of non-autonomous functionals in the Calculus of
Variations exhibiting non-uniform ellipticity features. We provide a few sharp regularity …

We prove local boundedness and Hölder continuity for weak solutions to nonlocal double
phase problems concerning the following fractional energy functional∫ R n∫ R n| v (x)− v …

A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems Page 1
Algebra i analiz St. Petersburg Math. J. Tom 31 (2019), 3 Vol. 31 (2020), No. 3, Pages 455–477 …

We consider the problem of minimizing variational integrals defined on nonlinear Sobolev
spaces of competitors taking values into the sphere. The main novelty is that the underlying …

We prove higher Sobolev regularity for bounded weak solutions to a class of nonlinear
nonlocal integro-differential equations. The leading operator exhibits nonuniform growth …

Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak–Orlicz–Sobolev
spaces - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …