Differentiability properties of isotropic functions
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Publication:1586402
DOI10.1215/S0012-7094-84-05134-2zbMath1077.74507MaRDI QIDQ1586402
Publication date: 2000
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Related Items (39)
Lokale Auflösbarkeit von Differentialoperatoren erster Ordnung in einem kritischen Punkt. (Local solvability of first order differential operators in a critical point) ⋮ Spectral (isotropic) manifolds and their dimension ⋮ Extremal problems involving isotropic sets and functions on spaces of rectangular matrices ⋮ Remarks on the continuity of the scalar coefficients in the representation \(H(A)=\alpha I+\beta A+\gamma A^ 2\) for isotropic tensor functions ⋮ Phase equilibria in isotropic solids ⋮ A uniqueness theorem in Kähler geometry ⋮ Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands ⋮ Isotropic functions revisited ⋮ Stability of homogeneous deformations in nonlinear elasticity ⋮ Smoothness of the scalar coefficients in the representation \(H(A)= \alpha I+ \beta A+ \gamma A^ 2\) for isotropic tensor functions of class \(C^ r\) ⋮ Loss of smoothness in the theorem on differentiable invariants of Coxeter groups ⋮ Counting Real Critical Points of the Distance to Orthogonally Invariant Matrix Sets ⋮ On minimal representations for constitutive equations of anisotropic elastic materials ⋮ Ultradifferentiable Chevalley theorems and isotropic functions ⋮ Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity ⋮ The Euclidean distance degree of orthogonally invariant matrix varieties ⋮ Poincaré-like approach to Landau theory. I. General theory ⋮ Donald E. Carlson (1938--2010), a diminutive giant. To the memory of our longtime colleague, mentor, and friend ⋮ A unified approach to operator monotone functions ⋮ Consequences of the Coleman‐Noll inequality for isotropic materials ⋮ Local minimizers and planar interfaces in a phase-transition model with interfacial energy ⋮ Buckling and barrelling instabilities in finite elasticity ⋮ Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy ⋮ Derivatives of compound matrix valued functions ⋮ A Unified Approach to Spectral and Isotropic Functions ⋮ On the hydrodynamics of biaxial nematic liquid crystals. I: General theory ⋮ On the analyticity of k-isotropic functions ⋮ Smooth symmetric functions ⋮ A simple derivation of necessary and sufficient conditions for the strong ellipticity of isotropic hyperelastic materials in plane strain ⋮ Elastostatics in the presence of a temperature distribution or inhomogeneity ⋮ Equivalence between rank-one convexity and polyconvexity for some classes of elastic materials ⋮ Generalized Baker-Ericksen inequalities ⋮ Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions ⋮ Variational analysis of spectral functions simplified ⋮ On the relation between polyconvexity and rank-one convexity in nonlinear elasticity ⋮ The complementing and Agmon's conditions in finite elasticity ⋮ Homogeneous equilibrium configurations of a hyperelastic compressible cube under equitriaxial dead-load tractions ⋮ On bifurcation in finite elasticity: Buckling of a rectangular rod ⋮ Invariants of class \(C^k\) for finite Coxeter groups and their representations in terms of anisotropic spaces
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