Global stress regularity of convex and some nonconvex variational problems

DOI10.1007/s10231-006-0039-5zbMath1206.49039OpenAlexW1985677865MaRDI QIDQ2462229

Dorothee Knees

Publication date: 26 November 2007

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-006-0039-5

zbMATH Keywords

nonconvex variational problemnonsmooth domaindifference quotient techniqueconvex variational problemglobal stress regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Classical linear elasticity (74B05) Energy minimization in equilibrium problems in solid mechanics (74G65) Regularity of solutions in optimal control (49N60) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (11)

On fractional regularity methods for a class of nonlocal problems ⋮ Regularity theory for a class of quasilinear equations ⋮ Existence and fractional regularity of solutions for a doubly nonlinear differential inclusion ⋮ A priori estimates for a class of degenerate elliptic equations ⋮ Stabilized FEM for some optimal design problem ⋮ Congested traffic equilibria and degenerate anisotropic PDEs ⋮ On the fractional regularity for degenerate equations with \((p,q)\)-growth ⋮ Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems ⋮ Nonconforming FEMs for an Optimal Design Problem ⋮ Convergence of adaptive finite element methods for a nonconvex double-well minimization problem ⋮ A mathematical analysis of fluid motion in irreversible phase transitions

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