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math.AP2023★ 1 cited
Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems
Raz Kupferman, Roee Leder
We solve a problem posed by Calabi more than 60 years ago, known as the Saint-Venant compatibility problem: Given a compact Riemannian manifold, generally with boundary, find a com…
math.AP2021★ 5 cited
On Saint-Venant compatibility and stress potentials in manifolds with boundary and constant sectional curvature
Raz Kupferman, Roee Leder
We address three related problems in the theory of elasticity, formulated in the framework of double forms: the Saint-Venant compatibility condition, the existence and uniqueness o…
math.AP2021
Double forms: Regular elliptic bilaplacian operators
Raz Kupferman, Roee Leder
Double forms are sections of the vector bundles , where in this work is a compact Riemannian manifold w…