On very weak solutions to a class of double obstacle problems

DOI10.1016/j.jmaa.2013.01.065zbMath1270.35187OpenAlexW1985468899MaRDI QIDQ1947331

Gejun Bao, Guanfeng Li, Ting-Ting Wang

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.065

zbMATH Keywords

Hodge decomposition

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Convergence of very weak solutions to \(A\)-Dirac equations in Clifford analysis ⋮ Unnamed Item ⋮ Zeros for the gradients of weakly \(A\)-harmonic tensors ⋮ Higher integrability for very weak solutions of inhomogeneous \(A\)-harmonic form equations ⋮ Penalty approximation method for a double obstacle quasilinear parabolic variational inequality problem

Cites Work

• The existence of solutions to the nonhomogeneous \(\mathcal A\)-harmonic equation
• Local boundedness results for very weak solutions of double obstacle problems
• The obstacle problem revisited
• Stability and higher integrability of derivatives of solutions in double obstacle problems
• \(p\)-harmonic tensors and quasiregular mappings
• On very weak solutions of degenerate \(p\)-harmonic equations
• On very weak solutions of certain elliptic systems
• Weak minima of variational integrals.
• Integrability and Removability Results for Quasiregular Mappings in High Dimensions.
• On weakly A-harmonic tensors
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On very weak solutions to a class of double obstacle problems