# zbMATH — the first resource for mathematics

## Pacard, Frank

Compute Distance To:
 Author ID: pacard.frank Published as: Pacard, F.; Pacard, Frank
 Documents Indexed: 82 Publications since 1989, including 1 Book
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#### Co-Authors

 22 single-authored 13 Mazzeo, Rafe R. 9 Del Pino, Manuel A. 7 Kowalczyk, Michał 7 Musso, Monica 7 Wei, Juncheng 5 Arezzo, Claudio 4 Chancelier, Jean-Philippe 4 Cohen de Lara, Michel 4 Liu, Yong 4 Pollack, Daniel 2 Baraket, Sami 2 Butscher, Adrian 2 Hauswirth, Laurent 2 Pistoia, Angela 2 Rivière, Tristan 2 Zolotareva, Tatiana 1 Ao, Weiwei 1 Chruściel, Piotr Tadeusz 1 Dammak, Makkia 1 Fakhi, Saadia 1 Folha, Abigail 1 Ge, Yuxin 1 Hebey, Emmanuel 1 Hélein, Frédéric 1 Jing, Ruihua 1 Jleli, Mohamed 1 Kaabachi, Saida 1 Korevaar, Nicholas Jacob 1 Mahmoudi, Fethi 1 Ouni, Taieb 1 Pacella, Filomena 1 Pimentel, Fernando A. A. 1 Ritoré, Manuel 1 Rosenberg, Harold 1 Schoen, Richard Melvin 1 Sciunzi, Berardino 1 Sicbaldi, Pieralberto 1 Singer, Michael A. 1 Unterreiter, Andreas 1 Xu, Xingwang
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#### Serials

 5 Journal of Functional Analysis 5 Manuscripta Mathematica 5 Comptes Rendus de l’Académie des Sciences. Série I 4 Pacific Journal of Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Duke Mathematical Journal 3 Calculus of Variations and Partial Differential Equations 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Journal of Differential Equations 2 Journal of Differential Geometry 2 Communications in Analysis and Geometry 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Institute of Mathematics of Jussieu 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Journal für die Reine und Angewandte Mathematik 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Stochastic Hydrology and Hydraulics 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Topological Methods in Nonlinear Analysis 1 Séminaire Équations aux Dérivées Partielles 1 Mathematical Research Letters 1 Matemática Contemporânea 1 Annals of Mathematics. Second Series 1 Rivista di Matematica della Università di Parma. Serie 7 1 Networks and Heterogeneous Media 1 Analysis & PDE 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 44 Partial differential equations (35-XX) 41 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Operator theory (47-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Fluid mechanics (76-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

74 Publications have been cited 1,236 times in 804 Documents Cited by Year
Construction of singular limits for a semilinear elliptic equation in dimension 2. Zbl 0890.35047
Baraket, Sami; Pacard, Frank
1998
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
1999
A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis. Zbl 0869.35040
Mazzeo, Rafe; Pacard, Frank
1996
From constant mean curvature hypersurfaces to the gradient theory of phase transitions. Zbl 1070.58014
Pacard, Frank; Ritoré, Manuel
2003
Constant scalar curvature metrics with isolated singularities. Zbl 0945.53024
Mazzeo, Rafe; Pacard, Frank
1999
Linear and nonlinear aspects of vortices. The Ginzburg-Landau model. Zbl 0948.35003
Pacard, Frank; Rivière, Tristan
2000
Blowing up and desingularizing constant scalar curvature Kähler manifolds. Zbl 1123.53036
Arezzo, Claudio; Pacard, Frank
2006
Large energy entire solutions for the Yamabe equation. Zbl 1233.35008
del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela
2011
Constant mean curvature surfaces with Delaunay ends. Zbl 1005.53006
Mazzeo, Rafe; Pacard, Frank
2001
Multiple-end solutions to the Allen-Cahn equation in $$\mathbb R^2$$. Zbl 1203.35108
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
Partial regularity for weak solutions of a nonlinear elliptic equation. Zbl 0811.35011
Pacard, Frank
1993
Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation. Zbl 1263.35198
Musso, Monica; Pacard, Frank; Wei, Juncheng
2012
A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Zbl 1218.53042
Hebey, Emmanuel; Pacard, Frank; Pollack, Daniel
2008
The Toda system and multiple-end solutions of autonomous planar elliptic problems. Zbl 1197.35114
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
Constant mean curvature hypersurfaces condensing on a submanifold. Zbl 1108.53031
Mahmoudi, F.; Mazzeo, R.; Pacard, F.
2006
Connected sums of constant mean curvature surfaces in Euclidean 3 space. Zbl 0972.53010
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2001
Torus action on $$S^n$$ and sign changing solutions for conformally invariant equations. Zbl 1267.53040
Del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela
2013
Foliations by constant mean curvature tubes. Zbl 1096.53035
Mazzeo, Rafe; Pacard, Frank
2005
Bubble towers for supercritical semilinear elliptic equations. Zbl 1129.35379
Ge, Yuxin; Jing, Ruihua; Pacard, Frank
2005
Extremal metrics on blowups. Zbl 1221.32008
Arezzo, Claudio; Pacard, Frank; Singer, Michael
2011
On an overdetermined elliptic problem. Zbl 1211.35207
Hauswirth, Laurent; Hélein, Frédéric; Pacard, Frank
2011
Bubbling along boundary geodesics near the second critical exponent. Zbl 1204.35090
del Pino, Manuel; Musso, Monica; Pacard, Frank
2010
Blowing up Kähler manifolds with constant scalar curvature. II. Zbl 1202.53069
Arezzo, Claudio; Pacard, Frank
2009
Constant mean curvature spheres in Riemannian manifolds. Zbl 1165.53038
Pacard, F.; Xu, X.
2009
Existence and convergence of positive weak solutions of $$-\Delta u=u^{n\over {n-2}}$$ in bounded domains of $$\mathbb{R}^ n$$, $$n\geq 3$$. Zbl 0822.35051
Pacard, Frank
1993
Boundary singularities for weak solutions of semilinear elliptic problems. Zbl 1137.35038
del Pino, Manuel; Musso, Monica; Pacard, Frank
2007
Analysis of a conservation PDE with discontinuous flux: A model of settler. Zbl 0811.35077
Chancelier, J.-Ph.; Cohen de Lara, M.; Pacard, F.
1994
Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones. Zbl 1281.35046
Pacard, Frank; Wei, Juncheng
2013
Constant curvature foliations in asymptotically hyperbolic spaces. Zbl 1214.53024
Mazzeo, Rafe; Pacard, Frank
2011
Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018
Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank
2013
Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity. Zbl 1132.35038
Baraket, Sami; Dammak, Makkia; Ouni, Taieb; Pacard, Frank
2007
Extremal domains for the first eigenvalue of the Laplace-Beltrami operator. Zbl 1166.53029
Pacard, Frank; Sicbaldi, Pieralberto
2009
Maskit combinations of Poincaré-Einstein metrics. Zbl 1097.53029
Mazzeo, Rafe; Pacard, Frank
2006
Serrin’s overdetermined problem and constant mean curvature surfaces. Zbl 1342.35188
Del Pino, Manuel; Pacard, Frank; Wei, Juncheng
2015
The space of 4-ended solutions to the Allen-Cahn equation in the plane. Zbl 1254.35219
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2012
Free boundary minimal surfaces in the unit 3-ball. Zbl 1381.35040
Folha, Abigail; Pacard, Frank; Zolotareva, Tatiana
2017
An end-to-end construction for compact constant mean curvature surfaces. Zbl 1110.53043
Jleli, Mohamed; Pacard, Frank
2005
Radial and non-radial solutions of $$-\Delta u=\lambda f(u)$$ on an annulus of $$\mathbb{R}^ n$$, $$n\geq 3$$. Zbl 0799.35089
Pacard, F.
1993
The Yamabe problem on subdomains of even-dimensional spheres. Zbl 0854.53037
Pacard, Frank
1995
A note on the regularity of weak solutions of $$-\Delta u=u^ \alpha$$ in $$\mathbb{R}^ n, n\geq 3$$. Zbl 0819.35045
Pacard, F.
1992
Solutions of the Allen-Cahn equation which are invariant under screw-motion. Zbl 1246.35093
del Pino, Manuel; Musso, Monica; Pacard, Frank
2012
Convergence and partial regularity for weak solutions of some nonlinear elliptic equation: The supercritical case. Zbl 0837.35026
Pacard, Frank
1994
The classification of four-end solutions to the Allen-Cahn equation on the plane. Zbl 1287.35031
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2013
Attaching handles to constant-mean-curvature-1 surfaces in hyperbolic 3-space. Zbl 1059.53049
Pacard, Frank; Pimentel, Fernando A. A.
2004
Existence of a solution in an age-dependent transport-diffusion PDE: A model of Settler. Zbl 0832.35067
Chancelier, J. Ph.; Cohen de Lara, M.; Pacard, F.
1995
A variational analysis of the thermal equilibrium state of charged quantum fluids. Zbl 0820.35112
Pacard, Frank; Unterreiter, Andreas
1995
Convergence of surfaces of prescribed mean curvature. Zbl 0696.49070
Pacard, Frank
1989
Solutions without any symmetry for semilinear elliptic problems. Zbl 1341.35060
Ao, Weiwei; Musso, Monica; Pacard, Frank; Wei, Juncheng
2016
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends. II: Generic metrics. Zbl 1170.83004
Chruściel, Piotr T.; Pacard, Frank; Pollack, Daniel
2009
Higher genus Riemann minimal surfaces. Zbl 1129.53009
Hauswirth, Laurent; Pacard, Frank
2007
Existence result for minimal hypersurfaces with a prescribed finite number of planar ends. Zbl 0992.53011
2000
Existence de solutions faibles positives de $$-\Delta{}u =u^{\alpha{}}$$ dans des ouverts bornés de $${\mathbb{R}{}}^ n,\;n\geqq{}3$$. (Existence and convergence of weak positive solutions of $$-\Delta{}u=u^{\alpha{}}$$ in bounded domains of $${\mathbb{R}{}}^ n,\;n \geqq{}3$$). Zbl 0763.35019
Pacard, Frank
1992
End-to-end construction for the Allen-Cahn equation in the plane. Zbl 1311.35115
Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng
2015
The role of minimal surfaces in the study of the Allen-Cahn equation. Zbl 1273.58011
Pacard, Frank
2012
Poincaré-Einstein metrics and the Schouten tensor. Zbl 1056.53028
Mazzeo, Rafe; Pacard, Frank
2003
Bifurcating nodoids. Zbl 1032.53002
Mazzeo, Rafe; Pacard, Frank
2002
Solutions of semilinear elliptic equations in tubes. Zbl 1304.35307
Pacard, Frank; Pacella, Filomena; Sciunzi, Berardino
2014
Riemann minimal surfaces in higher dimensions. Zbl 1133.53004
Kaabachi, Saida; Pacard, Frank
2007
Doubling constant mean curvature tori in $$S^3$$. Zbl 1170.53303
2006
The conformal theory of Alexandrov embedded constant mean curvature surfaces in $$\mathbb R^3$$. Zbl 1101.53006
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2005
Solutions with high dimensional singular set, to a conformally invariant elliptic equation in $$\mathbb{R}^ 4$$ and in $$\mathbb{R}^ 6$$. Zbl 0822.35052
Pacard, Frank
1994
Generalized doubling constructions for constant mean curvature hypersurfaces in $$S^{ n +1}$$. Zbl 1126.53034
2007
Solutions de $$\Delta u=-\lambda e^ u$$ ayant des singularités ponctuelles prescrites. (Solutions of $$\Delta u=-\lambda e^ u$$ with prescribed isolated singularities). Zbl 0729.35047
Pacard, Frank
1990
Attaching handles to Delaunay nodoids. Zbl 1284.53009
Pacard, Frank; Rosenberg, Harold
2013
On the Kähler classes of constant scalar curvature metrics on blow ups. Zbl 1280.53064
Arezzo, Claudio; Pacard, Frank
2011
Constant mean curvature hypersurfaces in Riemannian manifolds. Zbl 1097.53041
Pacard, Frank
2005
A regularity criterion for positive weak solutions of $$- {\Delta}u=u^{\alpha}$$. Zbl 0799.35070
Pacard, F.
1993
Existence and convergence of positive weak solutions of $$-\Delta u=u^{n/(n-2)}$$ in bounded domains of $$\mathbb{R}^ n, n\geqq3$$. Zbl 0777.35019
Pacard, Frank
1992
Towards classification of multiple-end solutions to the Allen-Cahn equation in $$\mathbb{R}^2$$. Zbl 1262.35011
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2012
Constant scalar curvature and extremal Kähler metrics on blow ups. Zbl 1235.32016
Pacard, Frank
2011
Complete, embedded, minimal $$n$$-dimensional submanifolds in $$\mathbb C^n$$. Zbl 1035.53081
Arezzo, Claudio; Pacard, Frank
2003
Higher-dimensional Scherk’s hypersurfaces. Zbl 1043.53011
Pacard, Frank
2002
The Yamabe problem for subdomains of $$S^n$$. Zbl 1070.53501
Pacard, Frank
1997
Fokker-Planck equations for the density of a diffusion process in a regular open set. Zbl 0837.58038
Chancelier, Jean-Philippe; Cohen de Lara, Michel; Pacard, Frank
1995
Free boundary minimal surfaces in the unit 3-ball. Zbl 1381.35040
Folha, Abigail; Pacard, Frank; Zolotareva, Tatiana
2017
Solutions without any symmetry for semilinear elliptic problems. Zbl 1341.35060
Ao, Weiwei; Musso, Monica; Pacard, Frank; Wei, Juncheng
2016
Serrin’s overdetermined problem and constant mean curvature surfaces. Zbl 1342.35188
Del Pino, Manuel; Pacard, Frank; Wei, Juncheng
2015
End-to-end construction for the Allen-Cahn equation in the plane. Zbl 1311.35115
Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng
2015
Solutions of semilinear elliptic equations in tubes. Zbl 1304.35307
Pacard, Frank; Pacella, Filomena; Sciunzi, Berardino
2014
Torus action on $$S^n$$ and sign changing solutions for conformally invariant equations. Zbl 1267.53040
Del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela
2013
Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones. Zbl 1281.35046
Pacard, Frank; Wei, Juncheng
2013
Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018
Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank
2013
The classification of four-end solutions to the Allen-Cahn equation on the plane. Zbl 1287.35031
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2013
Attaching handles to Delaunay nodoids. Zbl 1284.53009
Pacard, Frank; Rosenberg, Harold
2013
Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation. Zbl 1263.35198
Musso, Monica; Pacard, Frank; Wei, Juncheng
2012
The space of 4-ended solutions to the Allen-Cahn equation in the plane. Zbl 1254.35219
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2012
Solutions of the Allen-Cahn equation which are invariant under screw-motion. Zbl 1246.35093
del Pino, Manuel; Musso, Monica; Pacard, Frank
2012
The role of minimal surfaces in the study of the Allen-Cahn equation. Zbl 1273.58011
Pacard, Frank
2012
Towards classification of multiple-end solutions to the Allen-Cahn equation in $$\mathbb{R}^2$$. Zbl 1262.35011
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2012
Large energy entire solutions for the Yamabe equation. Zbl 1233.35008
del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela
2011
Extremal metrics on blowups. Zbl 1221.32008
Arezzo, Claudio; Pacard, Frank; Singer, Michael
2011
On an overdetermined elliptic problem. Zbl 1211.35207
Hauswirth, Laurent; Hélein, Frédéric; Pacard, Frank
2011
Constant curvature foliations in asymptotically hyperbolic spaces. Zbl 1214.53024
Mazzeo, Rafe; Pacard, Frank
2011
On the Kähler classes of constant scalar curvature metrics on blow ups. Zbl 1280.53064
Arezzo, Claudio; Pacard, Frank
2011
Constant scalar curvature and extremal Kähler metrics on blow ups. Zbl 1235.32016
Pacard, Frank
2011
Multiple-end solutions to the Allen-Cahn equation in $$\mathbb R^2$$. Zbl 1203.35108
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
The Toda system and multiple-end solutions of autonomous planar elliptic problems. Zbl 1197.35114
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
Bubbling along boundary geodesics near the second critical exponent. Zbl 1204.35090
del Pino, Manuel; Musso, Monica; Pacard, Frank
2010
Blowing up Kähler manifolds with constant scalar curvature. II. Zbl 1202.53069
Arezzo, Claudio; Pacard, Frank
2009
Constant mean curvature spheres in Riemannian manifolds. Zbl 1165.53038
Pacard, F.; Xu, X.
2009
Extremal domains for the first eigenvalue of the Laplace-Beltrami operator. Zbl 1166.53029
Pacard, Frank; Sicbaldi, Pieralberto
2009
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends. II: Generic metrics. Zbl 1170.83004
Chruściel, Piotr T.; Pacard, Frank; Pollack, Daniel
2009
A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Zbl 1218.53042
Hebey, Emmanuel; Pacard, Frank; Pollack, Daniel
2008
Boundary singularities for weak solutions of semilinear elliptic problems. Zbl 1137.35038
del Pino, Manuel; Musso, Monica; Pacard, Frank
2007
Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity. Zbl 1132.35038
Baraket, Sami; Dammak, Makkia; Ouni, Taieb; Pacard, Frank
2007
Higher genus Riemann minimal surfaces. Zbl 1129.53009
Hauswirth, Laurent; Pacard, Frank
2007
Riemann minimal surfaces in higher dimensions. Zbl 1133.53004
Kaabachi, Saida; Pacard, Frank
2007
Generalized doubling constructions for constant mean curvature hypersurfaces in $$S^{ n +1}$$. Zbl 1126.53034
2007
Blowing up and desingularizing constant scalar curvature Kähler manifolds. Zbl 1123.53036
Arezzo, Claudio; Pacard, Frank
2006
Constant mean curvature hypersurfaces condensing on a submanifold. Zbl 1108.53031
Mahmoudi, F.; Mazzeo, R.; Pacard, F.
2006
Maskit combinations of Poincaré-Einstein metrics. Zbl 1097.53029
Mazzeo, Rafe; Pacard, Frank
2006
Doubling constant mean curvature tori in $$S^3$$. Zbl 1170.53303
2006
Foliations by constant mean curvature tubes. Zbl 1096.53035
Mazzeo, Rafe; Pacard, Frank
2005
Bubble towers for supercritical semilinear elliptic equations. Zbl 1129.35379
Ge, Yuxin; Jing, Ruihua; Pacard, Frank
2005
An end-to-end construction for compact constant mean curvature surfaces. Zbl 1110.53043
Jleli, Mohamed; Pacard, Frank
2005
The conformal theory of Alexandrov embedded constant mean curvature surfaces in $$\mathbb R^3$$. Zbl 1101.53006
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2005
Constant mean curvature hypersurfaces in Riemannian manifolds. Zbl 1097.53041
Pacard, Frank
2005
Attaching handles to constant-mean-curvature-1 surfaces in hyperbolic 3-space. Zbl 1059.53049
Pacard, Frank; Pimentel, Fernando A. A.
2004
From constant mean curvature hypersurfaces to the gradient theory of phase transitions. Zbl 1070.58014
Pacard, Frank; Ritoré, Manuel
2003
Poincaré-Einstein metrics and the Schouten tensor. Zbl 1056.53028
Mazzeo, Rafe; Pacard, Frank
2003
Complete, embedded, minimal $$n$$-dimensional submanifolds in $$\mathbb C^n$$. Zbl 1035.53081
Arezzo, Claudio; Pacard, Frank
2003
Bifurcating nodoids. Zbl 1032.53002
Mazzeo, Rafe; Pacard, Frank
2002
Higher-dimensional Scherk’s hypersurfaces. Zbl 1043.53011
Pacard, Frank
2002
Constant mean curvature surfaces with Delaunay ends. Zbl 1005.53006
Mazzeo, Rafe; Pacard, Frank
2001
Connected sums of constant mean curvature surfaces in Euclidean 3 space. Zbl 0972.53010
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2001
Linear and nonlinear aspects of vortices. The Ginzburg-Landau model. Zbl 0948.35003
Pacard, Frank; Rivière, Tristan
2000
Existence result for minimal hypersurfaces with a prescribed finite number of planar ends. Zbl 0992.53011
2000
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
1999
Constant scalar curvature metrics with isolated singularities. Zbl 0945.53024
Mazzeo, Rafe; Pacard, Frank
1999
Construction of singular limits for a semilinear elliptic equation in dimension 2. Zbl 0890.35047
Baraket, Sami; Pacard, Frank
1998
The Yamabe problem for subdomains of $$S^n$$. Zbl 1070.53501
Pacard, Frank
1997
A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis. Zbl 0869.35040
Mazzeo, Rafe; Pacard, Frank
1996
The Yamabe problem on subdomains of even-dimensional spheres. Zbl 0854.53037
Pacard, Frank
1995
Existence of a solution in an age-dependent transport-diffusion PDE: A model of Settler. Zbl 0832.35067
Chancelier, J. Ph.; Cohen de Lara, M.; Pacard, F.
1995
A variational analysis of the thermal equilibrium state of charged quantum fluids. Zbl 0820.35112
Pacard, Frank; Unterreiter, Andreas
1995
Fokker-Planck equations for the density of a diffusion process in a regular open set. Zbl 0837.58038
Chancelier, Jean-Philippe; Cohen de Lara, Michel; Pacard, Frank
1995
Analysis of a conservation PDE with discontinuous flux: A model of settler. Zbl 0811.35077
Chancelier, J.-Ph.; Cohen de Lara, M.; Pacard, F.
1994
Convergence and partial regularity for weak solutions of some nonlinear elliptic equation: The supercritical case. Zbl 0837.35026
Pacard, Frank
1994
Solutions with high dimensional singular set, to a conformally invariant elliptic equation in $$\mathbb{R}^ 4$$ and in $$\mathbb{R}^ 6$$. Zbl 0822.35052
Pacard, Frank
1994
Partial regularity for weak solutions of a nonlinear elliptic equation. Zbl 0811.35011
Pacard, Frank
1993
Existence and convergence of positive weak solutions of $$-\Delta u=u^{n\over {n-2}}$$ in bounded domains of $$\mathbb{R}^ n$$, $$n\geq 3$$. Zbl 0822.35051
Pacard, Frank
1993
Radial and non-radial solutions of $$-\Delta u=\lambda f(u)$$ on an annulus of $$\mathbb{R}^ n$$, $$n\geq 3$$. Zbl 0799.35089
Pacard, F.
1993
A regularity criterion for positive weak solutions of $$- {\Delta}u=u^{\alpha}$$. Zbl 0799.35070
Pacard, F.
1993
A note on the regularity of weak solutions of $$-\Delta u=u^ \alpha$$ in $$\mathbb{R}^ n, n\geq 3$$. Zbl 0819.35045
Pacard, F.
1992
Existence de solutions faibles positives de $$-\Delta{}u =u^{\alpha{}}$$ dans des ouverts bornés de $${\mathbb{R}{}}^ n,\;n\geqq{}3$$. (Existence and convergence of weak positive solutions of $$-\Delta{}u=u^{\alpha{}}$$ in bounded domains of $${\mathbb{R}{}}^ n,\;n \geqq{}3$$). Zbl 0763.35019
Pacard, Frank
1992
Existence and convergence of positive weak solutions of $$-\Delta u=u^{n/(n-2)}$$ in bounded domains of $$\mathbb{R}^ n, n\geqq3$$. Zbl 0777.35019
Pacard, Frank
1992
Solutions de $$\Delta u=-\lambda e^ u$$ ayant des singularités ponctuelles prescrites. (Solutions of $$\Delta u=-\lambda e^ u$$ with prescribed isolated singularities). Zbl 0729.35047
Pacard, Frank
1990
Convergence of surfaces of prescribed mean curvature. Zbl 0696.49070
Pacard, Frank
1989
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#### Cited by 727 Authors

 83 Wei, Juncheng 45 Del Pino, Manuel A. 42 Musso, Monica 32 Pacard, Frank 27 Pistoia, Angela 20 Kowalczyk, Michał 18 Dávila, Juan 14 Lin, Chang-Shou 14 Wang, Kelei 13 Clapp, Mónica 12 Baraket, Sami 12 Liu, Yong 12 Mahmoudi, Fethi 12 Malchiodi, Andrea 11 Esposito, Pierpaolo 11 González, María del Mar 10 Deng, Shengbing 10 Grossi, Massimo 10 Sicbaldi, Pieralberto 9 Ao, Weiwei 9 Diehl, Stefan 9 Guo, Zongming 9 Sire, Yannick 8 Arezzo, Claudio 8 Mazzeo, Rafe R. 8 Yang, Haitao 8 Yang, Jun 7 Fall, Mouhamed Moustapha 7 Gui, Changfeng 7 Premoselli, Bruno 7 Rollin, Yann 7 Yang, Hui 7 Yang, Wen 6 Bao, Jiguang 6 Bartolucci, Daniele 6 DelaTorre, Azahara 6 Fazly, Mostafa 6 Jerrard, Robert Leon 6 Lee, Youngae 6 Ouni, Taieb 6 Pacella, Filomena 6 Sourdis, Christos 6 Wang, Liping 6 Yan, Shusen 6 Zhang, Yibin 6 Zhou, Feng 6 Zou, Wenming 5 Bazarbacha, Imen 5 Bürger, Raimund 5 Butscher, Adrian 5 Chen, Huyuan 5 D’Aprile, Teresa 5 Figueroa, Pablo 5 Gursky, Matthew J. 5 Harrabi, Abdellaziz 5 Hasanoǧlu, Alemdar 5 Leung, Man Chun 5 Mazzieri, Lorenzo 5 da Silva Montenegro, Marcelo 5 Morabito, Filippo 5 Piccione, Paolo 5 Reichel, Wolfgang 5 Sciunzi, Berardino 5 Suzuki, Takashi 5 Székelyhidi, Gábor 5 Trabelsi, Nihed 5 Traizet, Martin 5 Vaira, Giusi 5 Vétois, Jérôme 5 Viaclovsky, Jeff A. 5 Wei, Suting 4 Ambrozio, Lucas C. 4 Battaglia, Luca 4 Chan, Hardy 4 Cortázar, Carmen 4 Faya, Jorge 4 Gladiali, Francesca 4 Han, Zheng-Chao 4 Hou, Songbo 4 Jevnikar, Aleks 4 Jleli, Mohamed 4 Khemiri, Zied 4 Li, YanYan 4 Li, Yimei 4 Liu, Zhongyuan 4 Lopes de Lima, Levi 4 Lu, Sheng-Sen 4 Ma, Li 4 Martel, Yvan 4 Merle, Frank 4 Ohtsuka, Hiroshi 4 Pektas, Burhan 4 Pisante, Adriano 4 Rahal, Belgacem 4 Ros, Antonio 4 Rosenberg, Harold 4 Shahgholian, Henrik 4 Smith, Graham A. 4 Stoppa, Jacopo 4 Struwe, Michael ...and 627 more Authors
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#### Cited in 135 Serials

 65 Journal of Differential Equations 63 Calculus of Variations and Partial Differential Equations 38 Journal of Functional Analysis 33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 29 Communications in Partial Differential Equations 28 Advances in Mathematics 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 The Journal of Geometric Analysis 23 Discrete and Continuous Dynamical Systems 21 Transactions of the American Mathematical Society 19 Archive for Rational Mechanics and Analysis 19 Mathematische Annalen 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Proceedings of the American Mathematical Society 15 Communications in Mathematical Physics 14 Journal of Mathematical Analysis and Applications 12 Annals of Global Analysis and Geometry 12 Communications in Contemporary Mathematics 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Duke Mathematical Journal 10 Annales Henri Poincaré 9 Communications on Pure and Applied Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Manuscripta Mathematica 9 Communications on Pure and Applied Analysis 8 Journal d’Analyse Mathématique 8 Inventiones Mathematicae 8 NoDEA. Nonlinear Differential Equations and Applications 8 Advanced Nonlinear Studies 7 Annales de l’Institut Fourier 7 Advances in Nonlinear Analysis 6 Journal of Mathematical Physics 6 Journal für die Reine und Angewandte Mathematik 6 Geometric and Functional Analysis. GAFA 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of the European Mathematical Society (JEMS) 5 Applicable Analysis 5 Mathematische Zeitschrift 5 Revista Matemática Iberoamericana 5 Differential Geometry and its Applications 5 Annals of Mathematics. Second Series 4 Journal of Engineering Mathematics 4 Mathematical Methods in the Applied Sciences 4 Acta Mathematica 4 Indiana University Mathematics Journal 4 Journal of the London Mathematical Society. Second Series 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Geometry and Physics 3 Geometriae Dedicata 3 Memoirs of the American Mathematical Society 3 Proceedings of the London Mathematical Society. Third Series 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Milan Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications 3 Séminaire Laurent Schwartz. EDP et Applications 2 Classical and Quantum Gravity 2 Letters in Mathematical Physics 2 Numerische Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Tohoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Chemistry 2 Taiwanese Journal of Mathematics 2 Geometry & Topology 2 Nonlinear Analysis. Real World Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Complex Variables and Elliptic Equations 2 Analysis & PDE 2 Science China. Mathematics 2 Analysis and Mathematical Physics 2 Communications in Mathematics and Statistics 2 Journal of Elliptic and Parabolic Equations 2 Bollettino dell’Unione Matematica Italiana 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Transport Theory and Statistical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Physica D 1 Applied Numerical Mathematics ...and 35 more Serials
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#### Cited in 36 Fields

 589 Partial differential equations (35-XX) 258 Differential geometry (53-XX) 140 Global analysis, analysis on manifolds (58-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 36 Fluid mechanics (76-XX) 34 Relativity and gravitational theory (83-XX) 33 Several complex variables and analytic spaces (32-XX) 24 Operator theory (47-XX) 20 Ordinary differential equations (34-XX) 19 Numerical analysis (65-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Algebraic geometry (14-XX) 12 Potential theory (31-XX) 10 Functional analysis (46-XX) 9 Biology and other natural sciences (92-XX) 8 Manifolds and cell complexes (57-XX) 8 Quantum theory (81-XX) 6 Functions of a complex variable (30-XX) 6 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)