Journal ArticleDOI
Multiple integrals in the calculus of variations and nonlinear elliptic systems
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This article is published in Bulletin of The London Mathematical Society.The article was published on 1984-11-01. It has received 374 citations till now. The article focuses on the topics: Time-scale calculus & Jacobi elliptic functions.read more
Citations
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Journal ArticleDOI
Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions
Journal ArticleDOI
Partial regularity of the dynamic system modeling the flow of liquid crystals
Fanghua Lin,Chun Liu +1 more
TL;DR: In this paper, the partial regularity of suitable weak solutions to the dynamical systems modelling the flow of liquid crystals is established, which is a natural generalization of an earlier work of Caffarelli-Kohn-Nirenberg on the Navier-Stokes system with some simplifications due to better estimates on the pressure term.
Journal ArticleDOI
Partial regularity for stationary harmonic maps into spheres
TL;DR: In this paper, it was shown that any weakly harmonic mapping from a two-dimensional surface into a sphere is smooth, except possibly for a closed singular set of (n 2 ) dimensional Hausdorff measure zero.
Journal ArticleDOI
Regularity for Minimizers of Non-quadratic Functionals: The Case 1 <p<2+
Emilio Acerbi,Nicola Fusco +1 more
TL;DR: Soit u∈W loc 1,p (Ω; R N ) un minimiseur local de ∫f(x,v,x,Dv,dx)dx avec f satisfaisant certaines hypotheses.
Journal ArticleDOI
Weak minima of variational integrals
References
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Journal ArticleDOI
Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions
Journal ArticleDOI
Partial regularity of the dynamic system modeling the flow of liquid crystals
Fanghua Lin,Chun Liu +1 more
TL;DR: In this paper, the partial regularity of suitable weak solutions to the dynamical systems modelling the flow of liquid crystals is established, which is a natural generalization of an earlier work of Caffarelli-Kohn-Nirenberg on the Navier-Stokes system with some simplifications due to better estimates on the pressure term.
Journal ArticleDOI
Partial regularity for stationary harmonic maps into spheres
TL;DR: In this paper, it was shown that any weakly harmonic mapping from a two-dimensional surface into a sphere is smooth, except possibly for a closed singular set of (n 2 ) dimensional Hausdorff measure zero.
Journal ArticleDOI
Regularity for Minimizers of Non-quadratic Functionals: The Case 1 <p<2+
Emilio Acerbi,Nicola Fusco +1 more
TL;DR: Soit u∈W loc 1,p (Ω; R N ) un minimiseur local de ∫f(x,v,x,Dv,dx)dx avec f satisfaisant certaines hypotheses.
Journal ArticleDOI
Weak minima of variational integrals
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