Higher differentiability results in the scale of Besov Spaces to a class of double-phase obstacle problems

DOI10.1051/cocv/2022050zbMath1495.49007arXiv2201.09771OpenAlexW4283833406WikidataQ114011429 ScholiaQ114011429MaRDI QIDQ5097296

Erica Ipocoana, Antonio Giuseppe Grimaldi

Publication date: 23 August 2022

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09771

zbMATH Keywords

Besov spacesobstacle problemhigher differentiabilitynon-standard growthdouble phase

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (5)

Regularity results for bounded solutions to obstacle problems with non-standard growth conditions ⋮ Higher differentiability for bounded solutions to a class of obstacle problems with \((p, q)\)-growth ⋮ Besov regularity for a class of elliptic obstacle problems with double-phase Orlicz growth ⋮ Higher differentiability of solutions for a class of obstacle problems with non standard growth conditions ⋮ Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth

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