Search Results - "PACARD, Frank"

Moduli space theory for the Allen-Cahn equation in the plane by PINO, MANUEL DEL, KOWALCZYK, MICHAŁ, PACARD, FRANK

“…multiple-end solutions, and their set is denoted by \mathcal M_{2k} u \in \mathcal M_{2k} the set of solutions is a smooth manifold of dimension 2k-ended…”
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Construction of singular limits for a semilinear elliptic equation in dimension 2 by Baraket, Sami, Pacard, Frank

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Serrin’s overdetermined problem and constant mean curvature surfaces by Del Pino, Manuel, Pacard, Frank, Wei, Juncheng

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Stable solutions of the Allen–Cahn equation in dimension 8 and minimal cones by Pacard, Frank, Wei, Juncheng

“…For all n⩾1, we are interested in bounded solutions of the Allen–Cahn equation Δu+u−u3=0 which are defined in all Rn+1 and whose zero set is asymptotic to a…”
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Free boundary minimal surfaces in the unit 3-ball by Folha, Abigail, Pacard, Frank, Zolotareva, Tatiana

“…A. Fraser and R. Schoen proved the existence of free boundary minimal surfaces Σ n in B 3 which have genus 0 and n boundary components, for all n ≥ 3 . For…”
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Blowing up Kähler manifolds with constant scalar curvature, II by Arezzo, Claudio, Pacard, Frank

“…In this paper we prove the existence of Kähler metrics of constant scalar curvature on the blow up at finitely many points of a compact manifold that already…”
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Serrin’s overdetermined problem and constant mean curvature surfaces by Del Pino, Manuel, Pacard, Frank, Wei, Juncheng

“…For all N\geq9 , we find smooth entire epigraphs in \mathbb{R}^{N} , namely, smooth domains of the form \Omega:=\{x\in\mathbb{R}^{N}|x_{N}\gt…”
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Blowing up and desingularizing constant scalar curvature Kähler manifolds by AREZZO, Claudio, PACARD, Frank

“…This paper is concerned with the existence of constant scalar curvature Kähler metrics on blow-ups at finitely many points of compact manifolds which already…”
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Extremal metrics on blowups by Arezzo, Claudio, Pacard, Frank, Singer, Michael

“…In this paper we provide conditions that are sufficient to guarantee the existence of extremal metrics on blowups at finitely many points of Kähler manifolds…”
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Solutions without any symmetry for semilinear elliptic problems by Ao, Weiwei, Musso, Monica, Pacard, Frank, Wei, Juncheng

“…We prove the existence of infinitely many solitary waves for the nonlinear Klein–Gordon or Schrödinger equationΔu−u+u3=0, in R2, which have finite energy and…”
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A Variational Analysis of Einstein–Scalar Field Lichnerowicz Equations on Compact Riemannian Manifolds by Hebey, Emmanuel, Pacard, Frank, Pollack, Daniel

“…We establish new existence and non-existence results for positive solutions of the Einstein–scalar field Lichnerowicz equation on compact manifolds. This…”
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EXTREMAL DOMAINS FOR THE FIRST EIGENVALUE OF THE LAPLACE-BELTRAMI OPERATOR by PACARD, Frank, SICBALDI, Pieralberto

“…We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of Laplace-Beltrami operator in some Riemannian manifold…”
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Attaching handles to Delaunay nodoids by Pacard, Frank, Rosenberg, Harold

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Existence and convergence of positive weak solutions of ??u= $$u^{\frac{n}{{n - 2}}} $$ in bounded domains of ? n ,n?3 by Pacard, Frank

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Maskit combinations of Poincaré–Einstein metrics by Mazzeo, Rafe, Pacard, Frank

“…We establish a boundary connected sum theorem for asymptotically hyperbolic Einstein metrics, and also show that if the two metrics have scalar positive…”
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Linear and nonlinear aspects of vortices: the ginzburg-landau model / Frank Pacard, Tristan Riviere by Pacard, Frank, Riviere, Tristan

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Higher genus Riemann minimal surfaces by Hauswirth, Laurent, Pacard, Frank

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Large energy entire solutions for the Yamabe equation by del Pino, Manuel, Musso, Monica, Pacard, Frank, Pistoia, Angela

“…We consider the Yamabe equation Δ u + n ( n − 2 ) 4 | u | 4 n − 2 u = 0 in R n , n ⩾ 3 . Let k ⩾ 1 and ξ j k = ( e 2 j π i k , 0 ) ∈ R n = C × R n − 2 . For…”
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Multiple-end solutions to the Allen–Cahn equation in R 2 by del Pino, Manuel, Kowalczyk, Michał, Pacard, Frank, Wei, Juncheng

“…We construct a new class of entire solutions for the Allen–Cahn equation Δ u + ( 1 − u 2 ) u = 0 , in R 2 ( ∼ C ) . Given k ⩾ 1 , we find a family of solutions…”
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ON AN OVERDETERMINED ELLIPTIC PROBLEM by HAUSWIRTH, Laurent, HELEIN, Frédéric, PACARD, Frank

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