111 citations · 384 across the 37 of their papers we have counts for
40 papers
Bouncing Jacobi fields and the Allen-Cahn equation on surfaces
Yong Liu, Frank Pacard, Juncheng Wei
The Allen-Cahn functional is a well studied variational problem which appears in the modeling of phase transition phenomenon. This functional depends on a parameter $\varepsilon >0…
Free boundary minimal surfaces in the unit 3-ball
Abigail Folha, Frank Pacard, Tatiana Zolotareva
In a recent paper A. Fraser and R. Schoen have proved the existence of free boundary minimal surfaces in which have genus and boundary components, for all $ n…
Higher codimension isoperimetric problems
Rafe Mazzeo, Frank Pacard, Tatiana Zolotareva
We consider a variational problem for submanifolds Q M with nonempty boundary Q = K. We propose the definition that the boundary K of any critical point Q have…
Solutions without any symmetry for semilinear elliptic problems
Weiwei Ao, Monica Musso, Frank Pacard +1
We prove the existence of infinitely many solitary waves for the nonlinear Klein-Gordon or Schrödinger equation in , which have finite energy and wh…
Serrin's Overdetermined Problem and Constant Mean Curvature Surfaces
Manuel del Pino, Frank Pacard, Juncheng Wei
For all , we find smooth entire epigraphs in , namely smooth domains of the form , which are not half-spaces…
Solutions of semilinear elliptic equations in tubes
Frank Pacard, Filomena Pacella, Berardino Sciunzi
Given a smooth compact k-dimensional manifold Λembedded in , with m\geq 2 and 1\leq k\leq m-1, and given ε>0, we define B_ε(Λ) to be the geodesic tubular neighborhoo…