Regularity of solutions of a degenerate elliptic variational problem

DOI10.1007/BF02568766zbMath0716.49031MaRDI QIDQ753131

Luigi Ambrosio

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155529

zbMATH Keywords

monotonicityregularityhigher integrability estimatesdecay lemmas

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Variational methods for second-order elliptic equations (35J20)

Related Items (15)

On Ericksen's model for liquid crystals ⋮ Defects of liquid crystals with variable degree of orientation ⋮ Disclinations in limiting Landau-de Gennes theory ⋮ A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation ⋮ The Ericksen model of liquid crystals with colloidal and electric effects ⋮ <scp>Isotropic‐Nematic</scp> Phase Transition and Liquid Crystal Droplets ⋮ Recent developments of analysis for hydrodynamic flow of nematic liquid crystals ⋮ A free boundary value problem of nematic liquid crystals with variable degree of orientation ⋮ A finite element method for the generalized Ericksen model of nematic liquid crystals ⋮ The Q-tensor model with uniaxial constraint ⋮ A variational problem for nematic liquid crystals with variable degree of orientation ⋮ Asymptotics of minimizers of variational problems involving curl functional ⋮ On plane defects in nematic liquid crystals with variable degree of orientation ⋮ Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation ⋮ A boundary-value problem for nematic liquid crystals with a variable degree of orientation

Cites Work

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• Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
• Liquid crystals with variable degree of orientation
• Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds
• On the regularity of the minima of variational integrals
• A boundary-value problem for nematic liquid crystals with a variable degree of orientation
• Existence theorem for a minimum problem with free discontinuity set
• Optimal approximations by piecewise smooth functions and associated variational problems
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Mappings minimizing theLp norm of the gradient
• A General Chain Rule for Distributional Derivatives

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