Weyl-Euler-Lagrange Equations of Motion on Flat Manifold
نویسندگان
چکیده
منابع مشابه
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Let S ⊂ R be a bounded C domain and let g denote the flat metric in R. We prove that there exist minimizers of the Willmore functional restricted to a class of isometric immersions of the Riemannian surface (S, g) into R. We derive the Euler-Lagrange equations satisfied by such constrained minimizers. Our main motivation comes from nonlinear elasticity, where this constrained Willmore functiona...
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ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2015
ISSN: 1687-9120,1687-9139
DOI: 10.1155/2015/808016