Existence of W^{1,1} solutions to a class of variational problems with linear growth on convex domains

DOI10.1512/iumj.2021.70.9479zbMath1482.35060arXiv2001.00815OpenAlexW2998286370MaRDI QIDQ5025422

Piotr Rybka, Michaeł Łasica

Publication date: 2 February 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00815

zbMATH Keywords

regularityexistencegradient flowminimizerlinear growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Related Items (2)

Local estimates for vectorial Rudin–Osher–Fatemi type problems in one dimension ⋮ Parabolic PDEs on low-dimensional structures

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