In this paper we introduce a new class of quasilinear elliptic equations driven by the so- called double phase operator with variable exponents. We prove certain properties of the …
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} …
Anisotropic and inhomogeneous spaces, which are at the core of the present study, may appear exotic at first. However, the reader should abandon this impression once they realize …
Nonuniformly elliptic Schauder theory | Inventiones mathematicae Skip to main content SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
SS Byun, J Ok, K Song - Journal de Mathématiques Pures et Appliquées, 2022 - Elsevier
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 …
K Ho, P Winkert - Calculus of Variations and Partial Differential …, 2023 - Springer
In this paper we present new embedding results for Musielak–Orlicz Sobolev spaces of double phase type. Based on the continuous embedding of W 1, H (Ω) into LH∗(Ω), where …
P Bella, M Schäffner - Advances in Calculus of Variations, 2024 - degruyter.com
We study local regularity properties of local minimizers of scalar integral functionals of the form ℱ[u]:=∫ Ω F(∇ u)-f u d x where the convex integrand F satisfies controlled (p …
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 …