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## Sire, Yannick

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 Author ID: sire.yannick Published as: Sire, Yannick; Sire, Y. External Links: MGP
 Documents Indexed: 108 Publications since 2004
all top 5

#### Co-Authors

 5 single-authored 7 Valdinoci, Enrico 6 Caffarelli, Luis Ángel 6 de la Llave, Rafael 6 Nadirashvili, Nikolai S. 6 Wei, Juncheng 5 James, Guillaume 4 Hamel, François 4 Kuusi, Tuomo 4 Mingione, Giuseppe 4 Vazquez, Juan Luis 3 Dávila, Juan 3 Fontich, Ernest 3 González, María del Mar 3 Mellet, Antoine 3 Pallara, Diego 3 Roquejoffre, Jean-Michel 3 Russ, Emmanuel 3 Sogge, Christopher D. 3 Zheng, Youquan 2 Bonforte, Matteo 2 Cabré, Xavier 2 Dupaigne, Louis 2 Farina, Alberto 2 Fazly, Mostafa 2 Hong, Younghun 2 Huguet, Gemma 2 Hyder, Ali 2 Jin, Tianling 2 Millot, Vincent 2 Novaga, Matteo 2 Palatucci, Giampiero 2 Terracini, Susanna 2 Wang, Chengbo 2 Xiong, Jingang 1 Ao, Weiwei 1 Bambusi, Dario 1 Bañuelos, Rodrigo 1 Baudoin, Fabrice 1 Bernicot, Frédéric 1 Bettiol, Renato G. 1 Blair, Matthew D. 1 Bouclet, Jean-Marc 1 Calleja, Renato C. 1 Capella, Antonio 1 Chan, Hardy 1 Daskalopoulos, Panagiota 1 de Queiroz, Olivâine Santana 1 De Silva, Daniela 1 Del Pino, Manuel A. 1 DelaTorre, Azahara 1 Deng, Bin 1 Du, Zhuoran 1 Engelstein, Max 1 Ferrari, Fausto 1 Fujishima, Yohei 1 Gallagher, Isabelle 1 Gallouët, Thierry 1 Grigor’yan, Alexander Asaturovich 1 Gui, Changfeng 1 Guo, Zihua 1 Kauranen, Aapo 1 Kawakami, Tatsuki 1 Krieger, Joachim 1 Lamboley, Jimmy 1 Lemenant, Antoine 1 Lin, Fang Hua 1 Lopez, Luis Fernandez 1 Mallick, Arka 1 Mariani, Mauro 1 Martinazzi, Luca 1 Mazzeo, Rafe R. 1 Miranda, Michele jun. 1 Mironescu, Petru 1 Mouhot, Clément 1 Musso, Monica 1 Noble, Pascal 1 Petrosyan, Arshak 1 Phan, Tuoc Van 1 Piccione, Paolo 1 Pinamonti, Andrea 1 Pisante, Adriano 1 Prats, Martí 1 Ríos, Luis López 1 Ros-Oton, Xavier 1 Sáez, Mariel 1 Sakellaris, Georgios 1 Savin, Ovidiu V. 1 Schikorra, Armin 1 Shi, Wenhui 1 Sun, Liming 1 Teixeira, Eduardo V. O. 1 Tortone, Giorgio 1 Vita, Stefano 1 Volzone, Bruno 1 Wang, Changyou 1 Wang, Kelei 1 Wang, Yuzhao 1 Wu, Ke 1 Zhang, Junyong 1 Zhao, Lifeng ...and 1 more Co-Authors
all top 5

#### Serials

 7 Discrete and Continuous Dynamical Systems 6 Communications in Partial Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the American Mathematical Society 4 The Journal of Geometric Analysis 3 Journal of Functional Analysis 2 Communications in Mathematical Physics 2 Nonlinearity 2 Studia Mathematica 2 American Journal of Mathematics 2 Journal of Differential Equations 2 Journal of Differential Geometry 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mathematical Research Letters 2 Moscow Mathematical Journal 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Dynamics of Partial Differential Equations 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis & PDE 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 NoDEA. Nonlinear Differential Equations and Applications 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Communications in Mathematical Sciences 1 Analysis in Theory and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Electronic Research Announcements in Mathematical Sciences 1 Séminaire Laurent Schwartz. EDP et Applications
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#### Fields

 87 Partial differential equations (35-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Differential geometry (53-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

88 Publications have been cited 1,593 times in 1,049 Documents Cited by Year
Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates. Zbl 1286.35248
Cabré, Xavier; Sire, Yannick
2014
Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076
Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick
2011
Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result. Zbl 1163.35019
Sire, Yannick; Valdinoci, Enrico
2009
Variational problems with free boundaries for the fractional Laplacian. Zbl 1221.35453
Caffarelli, Luis A.; Roquejoffre, Jean-Michel; Sire, Yannick
2010
Nonlinear equations for fractional Laplacians. II: Existence, uniqueness, and qualitative properties of solutions. Zbl 1317.35280
Cabré, Xavier; Sire, Yannick
2015
Nonlocal equations with measure data. Zbl 1323.45007
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2015
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
2015
Nonlocal self-improving properties. Zbl 1317.35284
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2015
Singular solutions of fractional order conformal Laplacians. Zbl 1255.53037
del Mar González, Maria; Mazzeo, Rafe; Sire, Yannick
2012
On fractional Schrödinger equations in Sobolev spaces. Zbl 1338.35466
Hong, Younghun; Sire, Yannick
2015
On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres. Zbl 1372.35291
Millot, Vincent; Sire, Yannick
2015
Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028
Dávila, Juan; Del Pino, Manuel; Sire, Yannick
2013
Generalized fronts for one-dimensional reaction-diffusion equations. Zbl 1180.35294
Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick
2010
Optimal existence and uniqueness theory for the fractional heat equation. Zbl 1364.35416
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
2017
Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions. Zbl 1209.37066
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
2009
Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Zbl 1279.70004
Huguet, Gemma; de la Llave, Rafael; Sire, Yannick
2012
Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities. Zbl 1296.35208
Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang
2014
Stable solutions of elliptic equations on Riemannian manifolds. Zbl 1273.53029
Farina, Alberto; Sire, Yannick; Valdinoci, Enrico
2013
Rigidity results for some boundary quasilinear phase transitions. Zbl 1188.35091
Sire, Yannick; Valdinoci, Enrico
2009
A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. Zbl 1237.37040
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
2009
A Liouville theorem for non local elliptic equations. Zbl 1218.35243
Dupaigne, Louis; Sire, Yannick
2010
Fractional Poincaré inequalities for general measures. Zbl 1208.26025
Mouhot, Clément; Russ, Emmanuel; Sire, Yannick
2011
On some pointwise inequalities involving nonlocal operators. Zbl 06703883
Caffarelli, Luis A.; Sire, Yannick
2017
Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples. Zbl 1341.35064
Hamel, François; Nadirashvili, Nikolai; Sire, Yannick
2016
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004
Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico
2017
Travelling breathers with exponentially small tails in a chain of nonlinear oscillators. Zbl 1105.37048
James, Guillaume; Sire, Yannick
2005
Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings. Zbl 1238.58011
Farina, Alberto; Sire, Yannick; Valdinoci, Enrico
2012
Existence and asymptotics of fronts in non local combustion models. Zbl 1293.35042
Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick
2014
On local behavior of singular positive solutions to nonlocal elliptic equations. Zbl 1368.35113
Jin, Tianling; de Queiroz, Olivaine S.; Sire, Yannick; Xiong, Jingang
2017
Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. Zbl 1351.37258
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
2015
Besov algebras on Lie groups of polynomial growth. Zbl 1264.22018
Gallagher, Isabelle; Sire, Yannick
2012
Conformal spectrum and harmonic maps. Zbl 1354.58027
2015
A fractional Gehring lemma, with applications to nonlocal equations. Zbl 1325.35260
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2014
Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach. Zbl 1331.35131
Palatucci, Giampiero; Pisante, Adriano; Sire, Yannick
2015
Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on $$\mathbb{S}^2$$. Zbl 1385.53027
2017
Symmetry results for fractional elliptic systems and related problems. Zbl 1322.35163
Fazly, Mostafa; Sire, Yannick
2015
An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. Zbl 1407.37108
de la Llave, Rafael; Sire, Yannick
2019
Traveling waves for a boundary reaction-diffusion equation. Zbl 1255.35072
Caffarelli, L.; Mellet, A.; Sire, Y.
2012
Travelling breathers in Klein-Gordon lattices as homoclinic orbits to $$p$$-tori. Zbl 1089.37045
Sire, Yannick
2005
Spreading speeds for some reaction-diffusion equations with general initial conditions. Zbl 1259.35054
Hamel, François; Sire, Yannick
2010
Fractional Laplacians, perimeters and heat semigroups in Carnot groups. Zbl 1375.35610
Sire, Yannick; Pinamonti, Andrea; Pallara, Diego; Miranda, Michele jun.; Ferrari, Fausto
2018
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application. Zbl 06731394
Sire, Yannick; Vázquez, Juan Luis; Volzone, Bruno
2017
Travelling breathers in Klein-Gordon chains. Zbl 1046.37057
Sire, Yannick; James, Guillaume
2004
Some elliptic PDEs on Riemannian manifolds with boundary. Zbl 1205.35061
Sire, Yannick; Valdinoci, Enrico
2010
Bubbling solutions for nonlocal elliptic problems. Zbl 1371.35066
Dávila, Juan; Ríos, Luis López; Sire, Yannick
2017
Maximization of higher order eigenvalues and applications. Zbl 1335.35167
2015
Infinite time blow-up for the fractional heat equation with critical exponent. Zbl 1452.35244
Musso, Monica; Sire, Yannick; Wei, Juncheng; Zheng, Youquan; Zhou, Yifu
2019
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties. Zbl 1317.35288
del Mar González, María; Sáez, Mariel; Sire, Yannick
2014
Propagation of low regularity for solutions of nonlinear PDEs on a riemannian manifold with a sub-Laplacian structure. Zbl 06295447
Bernicot, Frédéric; Sire, Yannick
2013
$$\Gamma$$-convergence of some super quadratic functionals with singular weights. Zbl 1205.82069
Palatucci, Giampiero; Sire, Yannick
2010
Travelling waves in discrete nonlinear systems with non-nearest neighbour interactions. Zbl 1180.82122
Calleja, Renato; Sire, Yannick
2009
Fast iteration of cocycles over rotations and computation of hyperbolic bundles. Zbl 1308.70038
Huguet, Gemma; de la Llave, Rafael; Sire, Yannick
2013
A new class of traveling solitons for cubic fractional nonlinear Schrödinger equations. Zbl 1367.35140
Hong, Younghun; Sire, Yannick
2017
Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds. Zbl 1379.35168
Daskalopoulos, Panagiota; Sire, Yannick; Vázquez, Juan-Luis
2017
Nondegeneracy of half-harmonic maps from $$\mathbb {R}$$ into $$\mathbb {S}^1$$. Zbl 1410.35278
Sire, Yannick; Wei, Juncheng; Zheng, Youquan
2018
Numerical computation of travelling breathers in Klein–Gordon chains. Zbl 1082.34033
Sire, Yannick; James, Guillaume
2005
Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds. Zbl 1223.22006
Russ, Emmanuel; Sire, Yannick
2011
Density estimates for phase transitions with a trace. Zbl 1250.35080
Sire, Yannick; Valdinoci, Enrico
2012
Center manifold theory in the context of infinite one-dimensional lattices. Zbl 1151.82323
James, Guillaume; Sire, Yannick
2008
Layered solutions for a fractional inhomogeneous Allen-Cahn equation. Zbl 1359.35213
Du, Zhuoran; Gui, Changfeng; Sire, Yannick; Wei, Juncheng
2016
Weak solutions of geometric flows associated to integro-differential harmonic maps. Zbl 1372.35326
Schikorra, Armin; Sire, Yannick; Wang, Changyou
2017
Boundary regularity for the Poisson equation in Reifenberg-flat domains. Zbl 1295.35207
Lemenant, Antoine; Sire, Yannick
2013
A one-phase problem for the fractional Laplacian: regularity of flat free boundaries. Zbl 1290.35342
De Silva, D.; Savin, O.; Sire, Y.
2014
A lower bound for the number of negative eigenvalues of Schrödinger operators. Zbl 1356.53044
Grigor’yan, Alexander; Nadirashvili, Nikolai; Sire, Yannick
2016
On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479
Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng
2018
Fractional Poincaré inequality with finite total $$Q$$-curvature. Zbl 1364.53044
Sire, Yannick; Wang, Yi
2017
Small data global regularity for half-wave maps. Zbl 1380.35119
Krieger, Joachim; Sire, Yannick
2018
Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack. Zbl 1387.35071
Caffarelli, Luis A.; Sire, Yannick
2018
A fractional isoperimetric problem in the Wiener space. Zbl 1408.93151
Novaga, Matteo; Pallara, Diego; Sire, Yannick
2018
Regularity issues involving the fractional $$p$$-Laplacian. Zbl 1405.35240
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2018
Symmetry properties for solutions of nonlocal equations involving nonlinear operators. Zbl 1412.35117
Fazly, Mostafa; Sire, Yannick
2019
Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients. Zbl 1419.35122
Fujishima, Yohei; Kawakami, Tatsuki; Sire, Yannick
2019
On the nodal set of solutions to degenerate or singular elliptic equations with an application to $$s$$-harmonic functions. Zbl 07262161
Sire, Yannick; Terracini, Susanna; Tortone, Giorgio
2020
Singular solutions for the constant $$Q$$-curvature problem. Zbl 1455.53059
Hyder, Ali; Sire, Yannick
2021
Liouville type theorems and regularity of solutions to degenerate or singular problems. I: Even solutions. Zbl 07324461
Sire, Yannick; Terracini, Susanna; Vita, Stefano
2021
A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications. Zbl 1346.35225
Novaga, Matteo; Pallara, Diego; Sire, Yannick
2016
Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems. Zbl 1202.37082
James, Guillaume; Noble, Pascal; Sire, Yannick
2009
Some possibly degenerate elliptic problems with measure data and non linearity on the boundary. Zbl 1234.35113
Gallouët, Thierry; Sire, Yannick
2011
Reaction-diffusion equations in homogeneous media: existence, uniqueness and stability of travelling fronts. Zbl 1386.35212
Sire, Yannick
2014
Almost global existence for a fractional Schrödinger equation on spheres and tori. Zbl 1290.35303
Bambusi, Dario; Sire, Yannick
2013
The Strauss conjecture on negatively curved backgrounds. Zbl 1428.35231
Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo
2019
Minimal surfaces and free boundaries: recent developments. Zbl 1433.35464
Caffarelli, Luis A.; Sire, Yannick
2020
Lifting in Besov spaces. Zbl 1458.46024
Mironescu, Petru; Russ, Emmanuel; Sire, Yannick
2020
The nonlocal mean-field equation on an interval. Zbl 1442.35505
DelaTorre, Azahara; Hyder, Ali; Martinazzi, Luca; Sire, Yannick
2020
Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces. Zbl 1406.35472
Millot, Vincent; Sire, Yannick; Wang, Kelei
2019
On a fractional Henon equation and applications. Zbl 1342.35439
Sire, Yannick; Wei, Jun-Cheng
2015
Rigidity results for nonlocal phase transitions in the Heisenberg group $$\mathbb{H}$$. Zbl 1286.35242
López, Luis F.; Sire, Yannick
2014
Free boundary problems involving singular weights. Zbl 1452.35057
Lamboley, Jimmy; Sire, Yannick; Teixeira, Eduardo V.
2020
Singular solutions for the constant $$Q$$-curvature problem. Zbl 1455.53059
Hyder, Ali; Sire, Yannick
2021
Liouville type theorems and regularity of solutions to degenerate or singular problems. I: Even solutions. Zbl 07324461
Sire, Yannick; Terracini, Susanna; Vita, Stefano
2021
On the nodal set of solutions to degenerate or singular elliptic equations with an application to $$s$$-harmonic functions. Zbl 07262161
Sire, Yannick; Terracini, Susanna; Tortone, Giorgio
2020
Minimal surfaces and free boundaries: recent developments. Zbl 1433.35464
Caffarelli, Luis A.; Sire, Yannick
2020
Lifting in Besov spaces. Zbl 1458.46024
Mironescu, Petru; Russ, Emmanuel; Sire, Yannick
2020
The nonlocal mean-field equation on an interval. Zbl 1442.35505
DelaTorre, Azahara; Hyder, Ali; Martinazzi, Luca; Sire, Yannick
2020
Free boundary problems involving singular weights. Zbl 1452.35057
Lamboley, Jimmy; Sire, Yannick; Teixeira, Eduardo V.
2020
An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. Zbl 1407.37108
de la Llave, Rafael; Sire, Yannick
2019
Infinite time blow-up for the fractional heat equation with critical exponent. Zbl 1452.35244
Musso, Monica; Sire, Yannick; Wei, Juncheng; Zheng, Youquan; Zhou, Yifu
2019
Symmetry properties for solutions of nonlocal equations involving nonlinear operators. Zbl 1412.35117
Fazly, Mostafa; Sire, Yannick
2019
Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients. Zbl 1419.35122
Fujishima, Yohei; Kawakami, Tatsuki; Sire, Yannick
2019
The Strauss conjecture on negatively curved backgrounds. Zbl 1428.35231
Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo
2019
Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces. Zbl 1406.35472
Millot, Vincent; Sire, Yannick; Wang, Kelei
2019
Fractional Laplacians, perimeters and heat semigroups in Carnot groups. Zbl 1375.35610
Sire, Yannick; Pinamonti, Andrea; Pallara, Diego; Miranda, Michele jun.; Ferrari, Fausto
2018
Nondegeneracy of half-harmonic maps from $$\mathbb {R}$$ into $$\mathbb {S}^1$$. Zbl 1410.35278
Sire, Yannick; Wei, Juncheng; Zheng, Youquan
2018
On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479
Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng
2018
Small data global regularity for half-wave maps. Zbl 1380.35119
Krieger, Joachim; Sire, Yannick
2018
Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack. Zbl 1387.35071
Caffarelli, Luis A.; Sire, Yannick
2018
A fractional isoperimetric problem in the Wiener space. Zbl 1408.93151
Novaga, Matteo; Pallara, Diego; Sire, Yannick
2018
Regularity issues involving the fractional $$p$$-Laplacian. Zbl 1405.35240
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2018
Optimal existence and uniqueness theory for the fractional heat equation. Zbl 1364.35416
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
2017
On some pointwise inequalities involving nonlocal operators. Zbl 06703883
Caffarelli, Luis A.; Sire, Yannick
2017
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004
Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico
2017
On local behavior of singular positive solutions to nonlocal elliptic equations. Zbl 1368.35113
Jin, Tianling; de Queiroz, Olivaine S.; Sire, Yannick; Xiong, Jingang
2017
Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on $$\mathbb{S}^2$$. Zbl 1385.53027
2017
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application. Zbl 06731394
Sire, Yannick; Vázquez, Juan Luis; Volzone, Bruno
2017
Bubbling solutions for nonlocal elliptic problems. Zbl 1371.35066
Dávila, Juan; Ríos, Luis López; Sire, Yannick
2017
A new class of traveling solitons for cubic fractional nonlinear Schrödinger equations. Zbl 1367.35140
Hong, Younghun; Sire, Yannick
2017
Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds. Zbl 1379.35168
Daskalopoulos, Panagiota; Sire, Yannick; Vázquez, Juan-Luis
2017
Weak solutions of geometric flows associated to integro-differential harmonic maps. Zbl 1372.35326
Schikorra, Armin; Sire, Yannick; Wang, Changyou
2017
Fractional Poincaré inequality with finite total $$Q$$-curvature. Zbl 1364.53044
Sire, Yannick; Wang, Yi
2017
Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples. Zbl 1341.35064
Hamel, François; Nadirashvili, Nikolai; Sire, Yannick
2016
Layered solutions for a fractional inhomogeneous Allen-Cahn equation. Zbl 1359.35213
Du, Zhuoran; Gui, Changfeng; Sire, Yannick; Wei, Juncheng
2016
A lower bound for the number of negative eigenvalues of Schrödinger operators. Zbl 1356.53044
Grigor&rsquo;yan, Alexander; Nadirashvili, Nikolai; Sire, Yannick
2016
A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications. Zbl 1346.35225
Novaga, Matteo; Pallara, Diego; Sire, Yannick
2016
Nonlinear equations for fractional Laplacians. II: Existence, uniqueness, and qualitative properties of solutions. Zbl 1317.35280
Cabré, Xavier; Sire, Yannick
2015
Nonlocal equations with measure data. Zbl 1323.45007
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2015
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
2015
Nonlocal self-improving properties. Zbl 1317.35284
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2015
On fractional Schrödinger equations in Sobolev spaces. Zbl 1338.35466
Hong, Younghun; Sire, Yannick
2015
On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres. Zbl 1372.35291
Millot, Vincent; Sire, Yannick
2015
Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. Zbl 1351.37258
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
2015
Conformal spectrum and harmonic maps. Zbl 1354.58027
2015
Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach. Zbl 1331.35131
Palatucci, Giampiero; Pisante, Adriano; Sire, Yannick
2015
Symmetry results for fractional elliptic systems and related problems. Zbl 1322.35163
Fazly, Mostafa; Sire, Yannick
2015
Maximization of higher order eigenvalues and applications. Zbl 1335.35167
2015
On a fractional Henon equation and applications. Zbl 1342.35439
Sire, Yannick; Wei, Jun-Cheng
2015
Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates. Zbl 1286.35248
Cabré, Xavier; Sire, Yannick
2014
Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities. Zbl 1296.35208
Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang
2014
Existence and asymptotics of fronts in non local combustion models. Zbl 1293.35042
Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick
2014
A fractional Gehring lemma, with applications to nonlocal equations. Zbl 1325.35260
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2014
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties. Zbl 1317.35288
del Mar González, María; Sáez, Mariel; Sire, Yannick
2014
A one-phase problem for the fractional Laplacian: regularity of flat free boundaries. Zbl 1290.35342
De Silva, D.; Savin, O.; Sire, Y.
2014
Reaction-diffusion equations in homogeneous media: existence, uniqueness and stability of travelling fronts. Zbl 1386.35212
Sire, Yannick
2014
Rigidity results for nonlocal phase transitions in the Heisenberg group $$\mathbb{H}$$. Zbl 1286.35242
López, Luis F.; Sire, Yannick
2014
Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028
Dávila, Juan; Del Pino, Manuel; Sire, Yannick
2013
Stable solutions of elliptic equations on Riemannian manifolds. Zbl 1273.53029
Farina, Alberto; Sire, Yannick; Valdinoci, Enrico
2013
Propagation of low regularity for solutions of nonlinear PDEs on a riemannian manifold with a sub-Laplacian structure. Zbl 06295447
Bernicot, Frédéric; Sire, Yannick
2013
Fast iteration of cocycles over rotations and computation of hyperbolic bundles. Zbl 1308.70038
Huguet, Gemma; de la Llave, Rafael; Sire, Yannick
2013
Boundary regularity for the Poisson equation in Reifenberg-flat domains. Zbl 1295.35207
Lemenant, Antoine; Sire, Yannick
2013
Almost global existence for a fractional Schrödinger equation on spheres and tori. Zbl 1290.35303
Bambusi, Dario; Sire, Yannick
2013
Singular solutions of fractional order conformal Laplacians. Zbl 1255.53037
del Mar González, Maria; Mazzeo, Rafe; Sire, Yannick
2012
Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Zbl 1279.70004
Huguet, Gemma; de la Llave, Rafael; Sire, Yannick
2012
Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings. Zbl 1238.58011
Farina, Alberto; Sire, Yannick; Valdinoci, Enrico
2012
Besov algebras on Lie groups of polynomial growth. Zbl 1264.22018
Gallagher, Isabelle; Sire, Yannick
2012
Traveling waves for a boundary reaction-diffusion equation. Zbl 1255.35072
Caffarelli, L.; Mellet, A.; Sire, Y.
2012
Density estimates for phase transitions with a trace. Zbl 1250.35080
Sire, Yannick; Valdinoci, Enrico
2012
Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076
Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick
2011
Fractional Poincaré inequalities for general measures. Zbl 1208.26025
Mouhot, Clément; Russ, Emmanuel; Sire, Yannick
2011
Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds. Zbl 1223.22006
Russ, Emmanuel; Sire, Yannick
2011
Some possibly degenerate elliptic problems with measure data and non linearity on the boundary. Zbl 1234.35113
Gallouët, Thierry; Sire, Yannick
2011
Variational problems with free boundaries for the fractional Laplacian. Zbl 1221.35453
Caffarelli, Luis A.; Roquejoffre, Jean-Michel; Sire, Yannick
2010
Generalized fronts for one-dimensional reaction-diffusion equations. Zbl 1180.35294
Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick
2010
A Liouville theorem for non local elliptic equations. Zbl 1218.35243
Dupaigne, Louis; Sire, Yannick
2010
Spreading speeds for some reaction-diffusion equations with general initial conditions. Zbl 1259.35054
Hamel, François; Sire, Yannick
2010
Some elliptic PDEs on Riemannian manifolds with boundary. Zbl 1205.35061
Sire, Yannick; Valdinoci, Enrico
2010
$$\Gamma$$-convergence of some super quadratic functionals with singular weights. Zbl 1205.82069
Palatucci, Giampiero; Sire, Yannick
2010
Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result. Zbl 1163.35019
Sire, Yannick; Valdinoci, Enrico
2009
Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions. Zbl 1209.37066
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
2009
Rigidity results for some boundary quasilinear phase transitions. Zbl 1188.35091
Sire, Yannick; Valdinoci, Enrico
2009
A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. Zbl 1237.37040
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
2009
Travelling waves in discrete nonlinear systems with non-nearest neighbour interactions. Zbl 1180.82122
Calleja, Renato; Sire, Yannick
2009
Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems. Zbl 1202.37082
James, Guillaume; Noble, Pascal; Sire, Yannick
2009
Center manifold theory in the context of infinite one-dimensional lattices. Zbl 1151.82323
James, Guillaume; Sire, Yannick
2008
Travelling breathers with exponentially small tails in a chain of nonlinear oscillators. Zbl 1105.37048
James, Guillaume; Sire, Yannick
2005
Travelling breathers in Klein-Gordon lattices as homoclinic orbits to $$p$$-tori. Zbl 1089.37045
Sire, Yannick
2005
Numerical computation of travelling breathers in Klein–Gordon chains. Zbl 1082.34033
Sire, Yannick; James, Guillaume
2005
Travelling breathers in Klein-Gordon chains. Zbl 1046.37057
Sire, Yannick; James, Guillaume
2004
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#### Cited by 1,164 Authors

 45 Sire, Yannick 42 Valdinoci, Enrico 24 Ambrosio, Vincenzo 23 Wei, Juncheng 22 Dipierro, Serena 20 Vazquez, Juan Luis 17 de la Llave, Rafael 16 Warma, Mahamadi 14 Otárola, Enrique 13 González, María del Mar 13 Molica Bisci, Giovanni 12 Antil, Harbir 12 Palatucci, Giampiero 12 Squassina, Marco 11 Barrios Barrera, Begoña 11 Hamel, François 10 Salgado, Abner J. 10 Schikorra, Armin 9 Alves, Claudianor Oliveira 9 Chan, Hardy 9 Gui, Changfeng 9 Kim, Seunghyeok 9 Savin, Ovidiu V. 9 Xiong, Jingang 9 Zheng, Youquan 8 Abdellaoui, Boumediene 8 Bonforte, Matteo 8 Chen, Wenxiong 8 Chtioui, Hichem 8 Fall, Mouhamed Moustapha 8 Fazly, Mostafa 8 Pinamonti, Andrea 8 Rădulescu, Vicenţiu D. 8 Zhang, Mingji 7 Caffarelli, Luis Ángel 7 Choi, Woocheol 7 Cozzi, Matteo 7 Dinh, Van Duong 7 Iannizzotto, Antonio 7 James, Guillaume 7 Lu, Hong 7 Mireles-James, Jason D. 7 Miyagaki, Olimpio Hiroshi 7 Nochetto, Ricardo Horacio 7 Ros-Oton, Xavier 7 Sun, Jianwen 7 Volzone, Bruno 7 Yang, Jianfu 7 Zou, Wenming 6 Ao, Weiwei 6 Bahrouni, Anouar 6 Brasco, Lorenzo 6 Chen, Guoyuan 6 Chen, Huyuan 6 Cinti, Eleonora 6 Colorado, Eduardo 6 DelaTorre, Azahara 6 Farina, Alberto 6 Grubb, Gerd 6 Hajaiej, Hichem 6 Haro, Àlex 6 Jarohs, Sven 6 Long, Wei 6 Mosconi, Sunra J. N. 6 Musina, Roberta 6 Nazarov, Alexander I. 6 Niu, Miaomiao 6 Punzo, Fabio 6 Quaas, Alexander 6 Yang, Hui 6 Zhang, Binlin 6 Zlatoš, Andrej 5 Abdelhedi, Wael 5 Coville, Jerome 5 Dávila, Juan 5 Del Pezzo, Leandro M. 5 Del Pino, Manuel A. 5 del Teso, Félix 5 Du, Zhuoran 5 Feng, Binhua 5 Ferrari, Fausto 5 Fontich, Ernest 5 Guo, Hongjun 5 Jin, Tianling 5 Kuusi, Tuomo 5 Li, Congming 5 Lindgren, Erik 5 Luo, Huxiao 5 Mengesha, Tadele 5 Musso, Monica 5 Patrizi, Stefania 5 Serra Montolí, Joaquim 5 Shen, Wenxian 5 Shen, Zhongwei 5 Tang, Zhongwei 5 Wang, Bixiang 4 Bernicot, Frédéric 4 Cabré, Xavier 4 Calleja, Renato C. 4 Chen, Yanhong ...and 1,064 more Authors
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#### Cited in 193 Serials

 73 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Journal of Differential Equations 59 Calculus of Variations and Partial Differential Equations 50 Discrete and Continuous Dynamical Systems 33 Journal of Mathematical Analysis and Applications 32 Journal of Functional Analysis 31 Communications on Pure and Applied Analysis 26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Advanced Nonlinear Studies 21 Advances in Mathematics 19 Communications in Partial Differential Equations 17 Archive for Rational Mechanics and Analysis 17 Journal of Mathematical Physics 15 Nonlinearity 14 Computers & Mathematics with Applications 14 Proceedings of the American Mathematical Society 13 Transactions of the American Mathematical Society 13 NoDEA. Nonlinear Differential Equations and Applications 12 Mathematische Annalen 12 The Journal of Geometric Analysis 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Journal of Dynamics and Differential Equations 11 Discrete and Continuous Dynamical Systems. Series B 11 Discrete and Continuous Dynamical Systems. Series S 10 Applicable Analysis 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Complex Variables and Elliptic Equations 10 Advances in Nonlinear Analysis 9 Applied Mathematics Letters 8 Physica D 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 SIAM Journal on Mathematical Analysis 7 Communications in Mathematical Physics 7 Communications in Contemporary Mathematics 7 Science China. Mathematics 6 Rocky Mountain Journal of Mathematics 6 Applied Numerical Mathematics 6 Journal of Nonlinear Science 6 Potential Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Communications in Nonlinear Science and Numerical Simulation 6 Annales Henri Poincaré 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Numerical Analysis 5 Revista Matemática Iberoamericana 5 Fractional Calculus & Applied Analysis 5 Journal of Evolution Equations 5 Milan Journal of Mathematics 4 Communications on Pure and Applied Mathematics 4 Journal of Computational Physics 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Computation 4 Journal of Scientific Computing 4 Topological Methods in Nonlinear Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Abstract and Applied Analysis 4 Chaos 4 Journal of the European Mathematical Society (JEMS) 4 Nonlinear Analysis. Real World Applications 4 SIAM Journal on Applied Dynamical Systems 4 Mediterranean Journal of Mathematics 4 Boundary Value Problems 4 Analysis & PDE 3 Israel Journal of Mathematics 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Advances in Computational Mathematics 3 Foundations of Computational Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Fixed Point Theory and Applications 3 Advances in Calculus of Variations 3 Journal of Pseudo-Differential Operators and Applications 3 Mathematical Control and Related Fields 2 Inverse Problems 2 Journal d’Analyse Mathématique 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Computational and Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Numerische Mathematik 2 Quarterly of Applied Mathematics 2 Acta Applicandae Mathematicae 2 Numerical Methods for Partial Differential Equations 2 Journal of Theoretical Probability 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Geometric and Functional Analysis. GAFA 2 Indagationes Mathematicae. New Series 2 SIAM Journal on Scientific Computing 2 Bulletin des Sciences Mathématiques 2 The Journal of Fourier Analysis and Applications 2 Positivity 2 Acta Mathematica Sinica. English Series 2 Dynamical Systems 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 93 more Serials
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#### Cited in 37 Fields

 907 Partial differential equations (35-XX) 105 Operator theory (47-XX) 89 Global analysis, analysis on manifolds (58-XX) 78 Numerical analysis (65-XX) 77 Dynamical systems and ergodic theory (37-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 66 Real functions (26-XX) 57 Differential geometry (53-XX) 53 Functional analysis (46-XX) 45 Integral equations (45-XX) 39 Ordinary differential equations (34-XX) 32 Probability theory and stochastic processes (60-XX) 29 Mechanics of particles and systems (70-XX) 29 Statistical mechanics, structure of matter (82-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Mechanics of deformable solids (74-XX) 18 Fluid mechanics (76-XX) 15 Biology and other natural sciences (92-XX) 14 Potential theory (31-XX) 9 Quantum theory (81-XX) 8 Functions of a complex variable (30-XX) 7 Systems theory; control (93-XX) 6 Abstract harmonic analysis (43-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)