Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems

DOI10.1186/s13660-019-2135-2zbMath1499.35285OpenAlexW2955223678WikidataQ127557954 ScholiaQ127557954MaRDI QIDQ2067936

Guangwei Du, Kelei Zhang, Yan Dong

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2135-2

zbMATH Keywords

Hölder continuityobstacle problemnondiagonal quasilinear degenerate elliptic systemMorrey regularity

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Morrey space regularity for weak solutions of Stokes systems with VMO coefficients
• Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients
• Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group
• Partial regularity for degenerate subelliptic systems associated with Hörmander's vector fields
• A regularity theory for a general class of quasilinear elliptic partial differential equations and obstacle problems
• Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients
• Regularity for a class of degenerate elliptic equations with discontinuous coefficients under natural growth
• Balls and metrics defined by vector fields. I: Basic properties
• Remarks on the regularity of weak solutions to some variational inequalities
• Regularity for certain degenerate elliptic double obstacle problems
• Higher interior regularity for quasilinear subelliptic systems
• Partial regularity for discontinuous sub-elliptic systems with VMO-coefficients involving controllable growth terms in Heisenberg groups
• Optimal partial regularity for sub-elliptic systems with Dini continuous coefficients under the superquadratic natural growth
• Regularity of subelliptic \(p\)-harmonic systems with subcritical growth in Carnot group
• Regularity in the obstacle problem for parabolic non-divergence operators of Hörmander type
• Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
• Regularity results for a class of obstacle problems in Heisenberg groups.
• Regularity for quasi-linear elliptic systems with discontinuous coefficients
• Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
• Hypoelliptic second order differential equations
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Interior regularity for solutions to some degenerate quasilinear obstacle problems
• Sobolev met Poincaré
• GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS
• Estimates on the generalized Morrey spaces L_{\phi^2,\lambda} and BMO_{\psi} for linear elliptic systems
• Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems

This page was built for publication: Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems