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math.AP2005
Stability and Perturbations of the Domain for the First Eigenvalue of the 1-Laplacian
Emmanuel Hebey, Nicolas Saintier
We discuss stability of the first eigenvalue of the 1-Laplacian under perturbations of the domain.
math.AP2005
Sharp Sobolev Inequalities for Vector Valued Maps
Emmanuel Hebey
We discuss sharp Sobolev inequalities for vector valued maps.
math.AP2005★ 1 cited
Critical Elliptic Systems in Potential Form
Emmanuel Hebey
We discuss critical elliptic systems in potential form. We prove existence, multiplicity, and compactness of solutions.
math.AP2002
Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case
Veronica Felli, Emmanuel Hebey, Frederic Robert
In this paper we study the energy function associated to fourth order equations of critical growth on smooth compact conformally flat manifolds of dimension greater or equal than 5…