Stability and higher integrability of derivatives of solutions in double obstacle problems

DOI10.1016/S0022-247X(02)00118-XzbMath1064.35056MaRDI QIDQ1849176

Gongbao Li, Olli Martio

Publication date: 28 November 2002

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

zbMATH Keywords

double obstacle problemstability and higher integrability of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)

Related Items (11)

Higher integrability of weak solutions to a class of double obstacle systems ⋮ Global regularity and stability of solutions to obstacle problems with nonstandard growth ⋮ Local boundedness results for very weak solutions of double obstacle problems ⋮ Regularity results for \(p\)-Laplacians in pre-fractal domains ⋮ Generalized solution of the double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces ⋮ On very weak solutions to a class of double obstacle problems ⋮ GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS ⋮ The double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces ⋮ \(A_{p}\)-weight and integrability of solutions in obstacle problems ⋮ Continuous dependence on obstacles for the double obstacle problem on metric spaces ⋮ Higher integrability and stability of \((p,q)\)-quasiminimizers

Cites Work

• Pointwise regularity of solutions to nonlinear double obstacle problems
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