Edit Profile (opens in new tab) Sire, Yannick Compute Distance To: Compute Author ID: sire.yannick Published as: Sire, Yannick; Sire, Y. External Links: MGP Documents Indexed: 123 Publications since 2004 1 Contribution as Editor Co-Authors: 116 Co-Authors with 118 Joint Publications 2,926 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Valdinoci, Enrico 7 Wei, Juncheng 6 Caffarelli, Luis Ángel 6 de la Llave, Rafael 6 Nadirashvili, Nikolai S. 5 James, Guillaume 5 Sogge, Christopher D. 5 Vazquez, Juan Luis 4 Hamel, François 4 Hyder, Ali 4 Kuusi, Tuomo 4 Mingione, Giuseppe 3 Dávila, Juan 3 Fontich, Ernest 3 González, María del Mar 3 Huang, Xiaoqi 3 Mellet, Antoine 3 Pallara, Diego 3 Roquejoffre, Jean-Michel 3 Russ, Emmanuel 3 Terracini, Susanna 3 Wang, Chengbo 3 Zheng, Youquan 2 Blair, Matthew D. 2 Bonforte, Matteo 2 Cabré, Xavier 2 Dupaigne, Louis 2 Farina, Alberto 2 Fazly, Mostafa 2 Hong, Younghun 2 Huguet, Gemma 2 Jin, Tianling 2 Lin, Fang Hua 2 Millot, Vincent 2 Novaga, Matteo 2 Palatucci, Giampiero 2 Schikorra, Armin 2 Sun, Liming 2 Vita, Stefano 2 Wang, Changyou 2 Wang, Yi 2 Xiong, Jingang 2 Zhang, Cheng 2 Zhang, Junyong 2 Zhou, Yifu 1 Ao, Weiwei 1 Bambusi, Dario 1 Banerjee, Agnid 1 Bañuelos, Rodrigo 1 Baudoin, Fabrice 1 Bernicot, Frédéric 1 Bettiol, Renato G. 1 Bouclet, Jean-Marc 1 Brazke, Denis 1 Calleja, Renato C. 1 Capella, Antonio 1 Chan, Hardy 1 Chen, Li 1 Cox, Graham 1 Daskalopoulos, Panagiota 1 Dávila, Gonzalo 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 Jakobson, Dmitry 1 Karpukhin, Mikhail A. 1 Kauranen, Aapo 1 Kawakami, Tatsuki 1 Krieger, Joachim 1 Lamboley, Jimmy 1 Lemenant, Antoine 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 Mukherjee, Shirsho 1 Musso, Monica 1 Ndiaye, Cheikh Birahim 1 Noble, Pascal 1 Petrosyan, Arshak 1 Phan, Tuoc Van 1 Piccione, Paolo 1 Pinamonti, Andrea 1 Pisante, Adriano 1 Pistoia, Angela ...and 16 more Co-Authors all top 5 Serials 8 Communications in Partial Differential Equations 7 Discrete and Continuous Dynamical Systems 5 Archive for Rational Mechanics and Analysis 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 The Journal of Geometric Analysis 5 Calculus of Variations and Partial Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the American Mathematical Society 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 Revista Matemática Iberoamericana 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Nonlinearity 2 Studia Mathematica 2 Advances in Mathematics 2 American Journal of Mathematics 2 Journal of Differential Equations 2 Journal of Differential Geometry 2 Pacific Journal of Mathematics 2 IMRN. International Mathematics Research Notices 2 Mathematical Research Letters 2 Communications in Contemporary Mathematics 2 Moscow Mathematical Journal 2 Analysis in Theory and Applications 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 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 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 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 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 Journal of Spectral Theory 1 Séminaire Laurent Schwartz. EDP et Applications 1 Mathematics in Engineering all top 5 Fields 101 Partial differential equations (35-XX) 22 Global analysis, analysis on manifolds (58-XX) 17 Differential geometry (53-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 Topological groups, Lie groups (22-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 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 1,998 times in 1,325 Documents Cited by ▼ Year ▼ Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates. Zbl 1286.35248Cabré, Xavier; Sire, Yannick 300 2014 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 158 2011 Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result. Zbl 1163.35019Sire, Yannick; Valdinoci, Enrico 151 2009 Variational problems with free boundaries for the fractional Laplacian. Zbl 1221.35453Caffarelli, Luis A.; Roquejoffre, Jean-Michel; Sire, Yannick 146 2010 Nonlinear equations for fractional Laplacians. II: Existence, uniqueness, and qualitative properties of solutions. Zbl 1317.35280Cabré, Xavier; Sire, Yannick 121 2015 Nonlocal equations with measure data. Zbl 1323.45007Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 96 2015 Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis 82 2015 Nonlocal self-improving properties. Zbl 1317.35284Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 67 2015 On fractional Schrödinger equations in Sobolev spaces. Zbl 1338.35466Hong, Younghun; Sire, Yannick 54 2015 Singular solutions of fractional order conformal Laplacians. Zbl 1255.53037del Mar González, Maria; Mazzeo, Rafe; Sire, Yannick 49 2012 On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres. Zbl 1372.35291Millot, Vincent; Sire, Yannick 48 2015 Optimal existence and uniqueness theory for the fractional heat equation. Zbl 1364.35416Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis 47 2017 Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028Dávila, Juan; Del Pino, Manuel; Sire, Yannick 46 2013 Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities. Zbl 1296.35208Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang 32 2014 Generalized fronts for one-dimensional reaction-diffusion equations. Zbl 1180.35294Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick 31 2010 Stable solutions of elliptic equations on Riemannian manifolds. Zbl 1273.53029Farina, Alberto; Sire, Yannick; Valdinoci, Enrico 30 2013 Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions. Zbl 1209.37066Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 29 2009 Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Zbl 1279.70004Huguet, Gemma; de la Llave, Rafael; Sire, Yannick 28 2012 Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples. Zbl 1341.35064Hamel, François; Nadirashvili, Nikolai; Sire, Yannick 17 2016 On some pointwise inequalities involving nonlocal operators. Zbl 1482.35017Caffarelli, Luis A.; Sire, Yannick 16 2017 Rigidity results for some boundary quasilinear phase transitions. Zbl 1188.35091Sire, Yannick; Valdinoci, Enrico 16 2009 A Liouville theorem for non local elliptic equations. Zbl 1218.35243Dupaigne, Louis; Sire, Yannick 15 2010 A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. Zbl 1237.37040Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 15 2009 Fractional Poincaré inequalities for general measures. Zbl 1208.26025Mouhot, Clément; Russ, Emmanuel; Sire, Yannick 14 2011 On local behavior of singular positive solutions to nonlocal elliptic equations. Zbl 1368.35113Jin, Tianling; de Queiroz, Olivaine S.; Sire, Yannick; Xiong, Jingang 14 2017 Conformal spectrum and harmonic maps. Zbl 1354.58027Nadirashvili, Nikolai; Sire, Yannick 14 2015 A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico 13 2017 Existence and asymptotics of fronts in non local combustion models. Zbl 1293.35042Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick 13 2014 An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. Zbl 1407.37108de la Llave, Rafael; Sire, Yannick 12 2019 Besov algebras on Lie groups of polynomial growth. Zbl 1264.22018Gallagher, Isabelle; Sire, Yannick 12 2012 Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. Zbl 1351.37258Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 12 2015 A fractional Gehring lemma, with applications to nonlocal equations. Zbl 1325.35260Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 12 2014 Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on \(\mathbb{S}^2\). Zbl 1385.53027Nadirashvili, Nikolai; Sire, Yannick 11 2017 Fractional Laplacians, perimeters and heat semigroups in Carnot groups. Zbl 1375.35610Sire, Yannick; Pinamonti, Andrea; Pallara, Diego; Miranda, Michele jun.; Ferrari, Fausto 11 2018 Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings. Zbl 1238.58011Farina, Alberto; Sire, Yannick; Valdinoci, Enrico 11 2012 Travelling breathers with exponentially small tails in a chain of nonlinear oscillators. Zbl 1105.37048James, Guillaume; Sire, Yannick 11 2005 Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach. Zbl 1331.35131Palatucci, Giampiero; Pisante, Adriano; Sire, Yannick 10 2015 Liouville type theorems and regularity of solutions to degenerate or singular problems. I: Even solutions. Zbl 1471.35152Sire, Yannick; Terracini, Susanna; Vita, Stefano 9 2021 Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application. Zbl 06731394Sire, Yannick; Vázquez, Juan Luis; Volzone, Bruno 9 2017 Traveling waves for a boundary reaction-diffusion equation. Zbl 1255.35072Caffarelli, L.; Mellet, A.; Sire, Y. 9 2012 A new class of traveling solitons for cubic fractional nonlinear Schrödinger equations. Zbl 1367.35140Hong, Younghun; Sire, Yannick 8 2017 Symmetry results for fractional elliptic systems and related problems. Zbl 1322.35163Fazly, Mostafa; Sire, Yannick 8 2015 Maximization of higher order eigenvalues and applications. Zbl 1335.35167Nadirashvili, Nikolai; Sire, Yannick 8 2015 Travelling breathers in Klein-Gordon chains. Zbl 1046.37057Sire, Yannick; James, Guillaume 7 2004 Infinite time blow-up for the fractional heat equation with critical exponent. Zbl 1452.35244Musso, Monica; Sire, Yannick; Wei, Juncheng; Zheng, Youquan; Zhou, Yifu 7 2019 Weak solutions of geometric flows associated to integro-differential harmonic maps. Zbl 1372.35326Schikorra, Armin; Sire, Yannick; Wang, Changyou 7 2017 Spreading speeds for some reaction-diffusion equations with general initial conditions. Zbl 1259.35054Hamel, François; Sire, Yannick 7 2010 On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng 6 2018 Bubbling solutions for nonlocal elliptic problems. Zbl 1371.35066Dávila, Juan; Ríos, Luis López; Sire, Yannick 6 2017 Travelling breathers in Klein-Gordon lattices as homoclinic orbits to \(p\)-tori. Zbl 1089.37045Sire, Yannick 6 2005 A one-phase problem for the fractional Laplacian: regularity of flat free boundaries. Zbl 1290.35342De Silva, D.; Savin, O.; Sire, Y. 6 2014 On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions. Zbl 1471.35151Sire, Yannick; Terracini, Susanna; Tortone, Giorgio 5 2020 Some elliptic PDEs on Riemannian manifolds with boundary. Zbl 1205.35061Sire, Yannick; Valdinoci, Enrico 5 2010 Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds. Zbl 1379.35168Daskalopoulos, Panagiota; Sire, Yannick; Vázquez, Juan-Luis 5 2017 Propagation of low regularity for solutions of nonlinear PDEs on a riemannian manifold with a sub-Laplacian structure. Zbl 06295447Bernicot, Frédéric; Sire, Yannick 5 2013 Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties. Zbl 1317.35288del Mar González, María; Sáez, Mariel; Sire, Yannick 5 2014 \(\Gamma \)-convergence of some super quadratic functionals with singular weights. Zbl 1205.82069Palatucci, Giampiero; Sire, Yannick 5 2010 Regularity issues involving the fractional \(p\)-Laplacian. Zbl 1405.35240Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 4 2018 Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces. Zbl 1406.35472Millot, Vincent; Sire, Yannick; Wang, Kelei 4 2019 Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. Zbl 1472.35257Blair, Matthew D.; Sire, Yannick; Sogge, Christopher D. 4 2021 Symmetry properties for solutions of nonlocal equations involving nonlinear operators. Zbl 1412.35117Fazly, Mostafa; Sire, Yannick 4 2019 Infinite time blow-up for half-harmonic map flow from \(\mathbb{R}\) into \(\mathbb{S}^1\). Zbl 1473.35639Sire, Yannick; Wei, Juncheng; Zheng, Youquan 4 2021 Singular solutions for the constant \(Q\)-curvature problem. Zbl 1455.53059Hyder, Ali; Sire, Yannick 4 2021 Layered solutions for a fractional inhomogeneous Allen-Cahn equation. Zbl 1359.35213Du, Zhuoran; Gui, Changfeng; Sire, Yannick; Wei, Juncheng 4 2016 Travelling waves in discrete nonlinear systems with non-nearest neighbour interactions. Zbl 1180.82122Calleja, Renato; Sire, Yannick 4 2009 Fast iteration of cocycles over rotations and computation of hyperbolic bundles. Zbl 1308.70038Huguet, Gemma; de la Llave, Rafael; Sire, Yannick 4 2013 Nondegeneracy of half-harmonic maps from \(\mathbb {R}\) into \(\mathbb {S}^1\). Zbl 1410.35278Sire, Yannick; Wei, Juncheng; Zheng, Youquan 4 2018 Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds. Zbl 1223.22006Russ, Emmanuel; Sire, Yannick 4 2011 Numerical computation of travelling breathers in Klein–Gordon chains. Zbl 1082.34033Sire, Yannick; James, Guillaume 4 2005 Center manifold theory in the context of infinite one-dimensional lattices. Zbl 1151.82323James, Guillaume; Sire, Yannick 3 2008 Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients. Zbl 1419.35122Fujishima, Yohei; Kawakami, Tatsuki; Sire, Yannick 3 2019 Density estimates for phase transitions with a trace. Zbl 1250.35080Sire, Yannick; Valdinoci, Enrico 3 2012 Small data global regularity for half-wave maps. Zbl 1380.35119Krieger, Joachim; Sire, Yannick 3 2018 Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack. Zbl 1387.35071Caffarelli, Luis A.; Sire, Yannick 3 2018 A fractional isoperimetric problem in the Wiener space. Zbl 1408.93151Novaga, Matteo; Pallara, Diego; Sire, Yannick 3 2018 Boundary regularity for the Poisson equation in Reifenberg-flat domains. Zbl 1295.35207Lemenant, Antoine; Sire, Yannick 3 2013 Reaction-diffusion equations in homogeneous media: existence, uniqueness and stability of travelling fronts. Zbl 1386.35212Sire, Yannick 3 2014 A lower bound for the number of negative eigenvalues of Schrödinger operators. Zbl 1356.53044Grigor’yan, Alexander; Nadirashvili, Nikolai; Sire, Yannick 3 2016 The Strauss conjecture on negatively curved backgrounds. Zbl 1428.35231Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo 2 2019 Fractional Poincaré inequality with finite total \(Q\)-curvature. Zbl 1364.53044Sire, Yannick; Wang, Yi 2 2017 The nonlocal mean-field equation on an interval. Zbl 1442.35505DelaTorre, Azahara; Hyder, Ali; Martinazzi, Luca; Sire, Yannick 2 2020 Minimal surfaces and free boundaries: recent developments. Zbl 1433.35464Caffarelli, Luis A.; Sire, Yannick 1 2020 Uniformization theorems: between Yamabe and Paneitz. Zbl 1477.58012Ndiaye, Cheikh Birahim; Sire, Yannick; Sun, Liming 1 2021 Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds. Zbl 07269819Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo; Zhang, Junyong 1 2020 Free boundary problems involving singular weights. Zbl 1452.35057Lamboley, Jimmy; Sire, Yannick; Teixeira, Eduardo V. 1 2020 Minimizers for the thin one-phase free boundary problem. Zbl 1473.35666Engelstein, Max; Kauranen, Aapo; Prats, Martí; Sakellaris, Georgios; Sire, Yannick 1 2021 Nonuniqueness of conformal metrics with constant \(Q\)-curvature. Zbl 1478.53063Bettiol, Renato G.; Piccione, Paolo; Sire, Yannick 1 2021 Almost global existence for a fractional Schrödinger equation on spheres and tori. Zbl 1290.35303Bambusi, Dario; Sire, Yannick 1 2013 Classification of blow-ups and monotonicity formula for half-Laplacian nonlinear heat equation. Zbl 1458.35071Deng, Bin; Sire, Yannick; Wei, Juncheng; Wu, Ke 1 2021 Regularity for parabolic systems with critical growth in the gradient and applications. Zbl 1495.35062Banerjee, Agnid; Dávila, Gonzalo; Sire, Yannick 1 2022 Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary. Zbl 1496.35132Hyder, Ali; Segatti, Antonio; Sire, Yannick; Wang, Changyou 1 2022 On a fractional Henon equation and applications. Zbl 1342.35439Sire, Yannick; Wei, Jun-Cheng 1 2015 A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications. Zbl 1346.35225Novaga, Matteo; Pallara, Diego; Sire, Yannick 1 2016 Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems. Zbl 1202.37082James, Guillaume; Noble, Pascal; Sire, Yannick 1 2009 On BMO and Carleson measures on Riemannian manifolds. Zbl 1496.42029Brazke, Denis; Schikorra, Armin; Sire, Yannick 1 2022 Lifting in Besov spaces. Zbl 1458.46024Mironescu, Petru; Russ, Emmanuel; Sire, Yannick 1 2020 On well-posedness of 2D dissipative quasi-geostrophic equation in critical mixed norm Lebesgue spaces. Zbl 1474.35349Phan, Tuoc; Sire, Yannick 1 2020 Regularity of inhomogeneous quasi-linear equations on the Heisenberg group. Zbl 1499.35288Mukherjee, Shirsho; Sire, Yannick 1 2021 Some possibly degenerate elliptic problems with measure data and non linearity on the boundary. Zbl 1234.35113Gallouët, Thierry; Sire, Yannick 1 2011 Rigidity results for nonlocal phase transitions in the Heisenberg group \(\mathbb{H}\). Zbl 1286.35242López, Luis F.; Sire, Yannick 1 2014 Regularity for parabolic systems with critical growth in the gradient and applications. Zbl 1495.35062Banerjee, Agnid; Dávila, Gonzalo; Sire, Yannick 1 2022 Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary. Zbl 1496.35132Hyder, Ali; Segatti, Antonio; Sire, Yannick; Wang, Changyou 1 2022 On BMO and Carleson measures on Riemannian manifolds. Zbl 1496.42029Brazke, Denis; Schikorra, Armin; Sire, Yannick 1 2022 Liouville type theorems and regularity of solutions to degenerate or singular problems. I: Even solutions. Zbl 1471.35152Sire, Yannick; Terracini, Susanna; Vita, Stefano 9 2021 Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. Zbl 1472.35257Blair, Matthew D.; Sire, Yannick; Sogge, Christopher D. 4 2021 Infinite time blow-up for half-harmonic map flow from \(\mathbb{R}\) into \(\mathbb{S}^1\). Zbl 1473.35639Sire, Yannick; Wei, Juncheng; Zheng, Youquan 4 2021 Singular solutions for the constant \(Q\)-curvature problem. Zbl 1455.53059Hyder, Ali; Sire, Yannick 4 2021 Uniformization theorems: between Yamabe and Paneitz. Zbl 1477.58012Ndiaye, Cheikh Birahim; Sire, Yannick; Sun, Liming 1 2021 Minimizers for the thin one-phase free boundary problem. Zbl 1473.35666Engelstein, Max; Kauranen, Aapo; Prats, Martí; Sakellaris, Georgios; Sire, Yannick 1 2021 Nonuniqueness of conformal metrics with constant \(Q\)-curvature. Zbl 1478.53063Bettiol, Renato G.; Piccione, Paolo; Sire, Yannick 1 2021 Classification of blow-ups and monotonicity formula for half-Laplacian nonlinear heat equation. Zbl 1458.35071Deng, Bin; Sire, Yannick; Wei, Juncheng; Wu, Ke 1 2021 Regularity of inhomogeneous quasi-linear equations on the Heisenberg group. Zbl 1499.35288Mukherjee, Shirsho; Sire, Yannick 1 2021 On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions. Zbl 1471.35151Sire, Yannick; Terracini, Susanna; Tortone, Giorgio 5 2020 The nonlocal mean-field equation on an interval. Zbl 1442.35505DelaTorre, Azahara; Hyder, Ali; Martinazzi, Luca; Sire, Yannick 2 2020 Minimal surfaces and free boundaries: recent developments. Zbl 1433.35464Caffarelli, Luis A.; Sire, Yannick 1 2020 Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds. Zbl 07269819Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo; Zhang, Junyong 1 2020 Free boundary problems involving singular weights. Zbl 1452.35057Lamboley, Jimmy; Sire, Yannick; Teixeira, Eduardo V. 1 2020 Lifting in Besov spaces. Zbl 1458.46024Mironescu, Petru; Russ, Emmanuel; Sire, Yannick 1 2020 On well-posedness of 2D dissipative quasi-geostrophic equation in critical mixed norm Lebesgue spaces. Zbl 1474.35349Phan, Tuoc; Sire, Yannick 1 2020 Convergence of the fractional Yamabe flow for a class of initial data. Zbl 1471.35041Chan, Hardy; Sire, Yannick; Sun, Liming 1 2020 An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. Zbl 1407.37108de la Llave, Rafael; Sire, Yannick 12 2019 Infinite time blow-up for the fractional heat equation with critical exponent. Zbl 1452.35244Musso, Monica; Sire, Yannick; Wei, Juncheng; Zheng, Youquan; Zhou, Yifu 7 2019 Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces. Zbl 1406.35472Millot, Vincent; Sire, Yannick; Wang, Kelei 4 2019 Symmetry properties for solutions of nonlocal equations involving nonlinear operators. Zbl 1412.35117Fazly, Mostafa; Sire, Yannick 4 2019 Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients. Zbl 1419.35122Fujishima, Yohei; Kawakami, Tatsuki; Sire, Yannick 3 2019 The Strauss conjecture on negatively curved backgrounds. Zbl 1428.35231Sire, Yannick; Sogge, Christopher D.; Wang, Chengbo 2 2019 Fractional Laplacians, perimeters and heat semigroups in Carnot groups. Zbl 1375.35610Sire, Yannick; Pinamonti, Andrea; Pallara, Diego; Miranda, Michele jun.; Ferrari, Fausto 11 2018 On the energy-critical fractional Schrödinger equation in the radial case. Zbl 1404.35479Guo, Zihua; Sire, Yannick; Wang, Yuzhao; Zhao, Lifeng 6 2018 Regularity issues involving the fractional \(p\)-Laplacian. Zbl 1405.35240Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 4 2018 Nondegeneracy of half-harmonic maps from \(\mathbb {R}\) into \(\mathbb {S}^1\). Zbl 1410.35278Sire, Yannick; Wei, Juncheng; Zheng, Youquan 4 2018 Small data global regularity for half-wave maps. Zbl 1380.35119Krieger, Joachim; Sire, Yannick 3 2018 Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack. Zbl 1387.35071Caffarelli, Luis A.; Sire, Yannick 3 2018 A fractional isoperimetric problem in the Wiener space. Zbl 1408.93151Novaga, Matteo; Pallara, Diego; Sire, Yannick 3 2018 Optimal existence and uniqueness theory for the fractional heat equation. Zbl 1364.35416Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis 47 2017 On some pointwise inequalities involving nonlocal operators. Zbl 1482.35017Caffarelli, Luis A.; Sire, Yannick 16 2017 On local behavior of singular positive solutions to nonlocal elliptic equations. Zbl 1368.35113Jin, Tianling; de Queiroz, Olivaine S.; Sire, Yannick; Xiong, Jingang 14 2017 A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico 13 2017 Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on \(\mathbb{S}^2\). Zbl 1385.53027Nadirashvili, Nikolai; Sire, Yannick 11 2017 Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application. Zbl 06731394Sire, Yannick; Vázquez, Juan Luis; Volzone, Bruno 9 2017 A new class of traveling solitons for cubic fractional nonlinear Schrödinger equations. Zbl 1367.35140Hong, Younghun; Sire, Yannick 8 2017 Weak solutions of geometric flows associated to integro-differential harmonic maps. Zbl 1372.35326Schikorra, Armin; Sire, Yannick; Wang, Changyou 7 2017 Bubbling solutions for nonlocal elliptic problems. Zbl 1371.35066Dávila, Juan; Ríos, Luis López; Sire, Yannick 6 2017 Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds. Zbl 1379.35168Daskalopoulos, Panagiota; Sire, Yannick; Vázquez, Juan-Luis 5 2017 Fractional Poincaré inequality with finite total \(Q\)-curvature. Zbl 1364.53044Sire, Yannick; Wang, Yi 2 2017 Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples. Zbl 1341.35064Hamel, François; Nadirashvili, Nikolai; Sire, Yannick 17 2016 Layered solutions for a fractional inhomogeneous Allen-Cahn equation. Zbl 1359.35213Du, Zhuoran; Gui, Changfeng; Sire, Yannick; Wei, Juncheng 4 2016 A lower bound for the number of negative eigenvalues of Schrödinger operators. Zbl 1356.53044Grigor’yan, Alexander; Nadirashvili, Nikolai; Sire, Yannick 3 2016 A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications. Zbl 1346.35225Novaga, Matteo; Pallara, Diego; Sire, Yannick 1 2016 Nonlinear equations for fractional Laplacians. II: Existence, uniqueness, and qualitative properties of solutions. Zbl 1317.35280Cabré, Xavier; Sire, Yannick 121 2015 Nonlocal equations with measure data. Zbl 1323.45007Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 96 2015 Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis 82 2015 Nonlocal self-improving properties. Zbl 1317.35284Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 67 2015 On fractional Schrödinger equations in Sobolev spaces. Zbl 1338.35466Hong, Younghun; Sire, Yannick 54 2015 On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres. Zbl 1372.35291Millot, Vincent; Sire, Yannick 48 2015 Conformal spectrum and harmonic maps. Zbl 1354.58027Nadirashvili, Nikolai; Sire, Yannick 14 2015 Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. Zbl 1351.37258Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 12 2015 Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach. Zbl 1331.35131Palatucci, Giampiero; Pisante, Adriano; Sire, Yannick 10 2015 Symmetry results for fractional elliptic systems and related problems. Zbl 1322.35163Fazly, Mostafa; Sire, Yannick 8 2015 Maximization of higher order eigenvalues and applications. Zbl 1335.35167Nadirashvili, Nikolai; Sire, Yannick 8 2015 On a fractional Henon equation and applications. Zbl 1342.35439Sire, Yannick; Wei, Jun-Cheng 1 2015 Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates. Zbl 1286.35248Cabré, Xavier; Sire, Yannick 300 2014 Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities. Zbl 1296.35208Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang 32 2014 Existence and asymptotics of fronts in non local combustion models. Zbl 1293.35042Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick 13 2014 A fractional Gehring lemma, with applications to nonlocal equations. Zbl 1325.35260Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick 12 2014 A one-phase problem for the fractional Laplacian: regularity of flat free boundaries. Zbl 1290.35342De Silva, D.; Savin, O.; Sire, Y. 6 2014 Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties. Zbl 1317.35288del Mar González, María; Sáez, Mariel; Sire, Yannick 5 2014 Reaction-diffusion equations in homogeneous media: existence, uniqueness and stability of travelling fronts. Zbl 1386.35212Sire, Yannick 3 2014 Rigidity results for nonlocal phase transitions in the Heisenberg group \(\mathbb{H}\). Zbl 1286.35242López, Luis F.; Sire, Yannick 1 2014 Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028Dávila, Juan; Del Pino, Manuel; Sire, Yannick 46 2013 Stable solutions of elliptic equations on Riemannian manifolds. Zbl 1273.53029Farina, Alberto; Sire, Yannick; Valdinoci, Enrico 30 2013 Propagation of low regularity for solutions of nonlinear PDEs on a riemannian manifold with a sub-Laplacian structure. Zbl 06295447Bernicot, Frédéric; Sire, Yannick 5 2013 Fast iteration of cocycles over rotations and computation of hyperbolic bundles. Zbl 1308.70038Huguet, Gemma; de la Llave, Rafael; Sire, Yannick 4 2013 Boundary regularity for the Poisson equation in Reifenberg-flat domains. Zbl 1295.35207Lemenant, Antoine; Sire, Yannick 3 2013 Almost global existence for a fractional Schrödinger equation on spheres and tori. Zbl 1290.35303Bambusi, Dario; Sire, Yannick 1 2013 Singular solutions of fractional order conformal Laplacians. Zbl 1255.53037del Mar González, Maria; Mazzeo, Rafe; Sire, Yannick 49 2012 Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Zbl 1279.70004Huguet, Gemma; de la Llave, Rafael; Sire, Yannick 28 2012 Besov algebras on Lie groups of polynomial growth. Zbl 1264.22018Gallagher, Isabelle; Sire, Yannick 12 2012 Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings. Zbl 1238.58011Farina, Alberto; Sire, Yannick; Valdinoci, Enrico 11 2012 Traveling waves for a boundary reaction-diffusion equation. Zbl 1255.35072Caffarelli, L.; Mellet, A.; Sire, Y. 9 2012 Density estimates for phase transitions with a trace. Zbl 1250.35080Sire, Yannick; Valdinoci, Enrico 3 2012 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 158 2011 Fractional Poincaré inequalities for general measures. Zbl 1208.26025Mouhot, Clément; Russ, Emmanuel; Sire, Yannick 14 2011 Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds. Zbl 1223.22006Russ, Emmanuel; Sire, Yannick 4 2011 Some possibly degenerate elliptic problems with measure data and non linearity on the boundary. Zbl 1234.35113Gallouët, Thierry; Sire, Yannick 1 2011 Variational problems with free boundaries for the fractional Laplacian. Zbl 1221.35453Caffarelli, Luis A.; Roquejoffre, Jean-Michel; Sire, Yannick 146 2010 Generalized fronts for one-dimensional reaction-diffusion equations. Zbl 1180.35294Mellet, Antoine; Roquejoffre, Jean-Michel; Sire, Yannick 31 2010 A Liouville theorem for non local elliptic equations. Zbl 1218.35243Dupaigne, Louis; Sire, Yannick 15 2010 Spreading speeds for some reaction-diffusion equations with general initial conditions. Zbl 1259.35054Hamel, François; Sire, Yannick 7 2010 Some elliptic PDEs on Riemannian manifolds with boundary. Zbl 1205.35061Sire, Yannick; Valdinoci, Enrico 5 2010 \(\Gamma \)-convergence of some super quadratic functionals with singular weights. Zbl 1205.82069Palatucci, Giampiero; Sire, Yannick 5 2010 Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result. Zbl 1163.35019Sire, Yannick; Valdinoci, Enrico 151 2009 Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions. Zbl 1209.37066Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 29 2009 Rigidity results for some boundary quasilinear phase transitions. Zbl 1188.35091Sire, Yannick; Valdinoci, Enrico 16 2009 A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. Zbl 1237.37040Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 15 2009 Travelling waves in discrete nonlinear systems with non-nearest neighbour interactions. Zbl 1180.82122Calleja, Renato; Sire, Yannick 4 2009 Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems. Zbl 1202.37082James, Guillaume; Noble, Pascal; Sire, Yannick 1 2009 Center manifold theory in the context of infinite one-dimensional lattices. Zbl 1151.82323James, Guillaume; Sire, Yannick 3 2008 Travelling breathers with exponentially small tails in a chain of nonlinear oscillators. Zbl 1105.37048James, Guillaume; Sire, Yannick 11 2005 Travelling breathers in Klein-Gordon lattices as homoclinic orbits to \(p\)-tori. Zbl 1089.37045Sire, Yannick 6 2005 Numerical computation of travelling breathers in Klein–Gordon chains. Zbl 1082.34033Sire, Yannick; James, Guillaume 4 2005 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,452 Authors 54 Sire, Yannick 43 Valdinoci, Enrico 28 Wei, Juncheng 25 Ambrosio, Vincenzo 25 Vazquez, Juan Luis 23 Dipierro, Serena 20 de la Llave, Rafael 18 Warma, Mahamadi 16 Schikorra, Armin 15 González, María del Mar 15 Otárola, Enrique 14 Palatucci, Giampiero 13 Molica Bisci, Giovanni 13 Squassina, Marco 12 Antil, Harbir 12 Barrios Barrera, Begoña 11 Bonforte, Matteo 11 Hamel, François 10 Chan, Hardy 10 Kim, Seunghyeok 10 Salgado, Abner J. 10 Xiong, Jingang 9 Abdellaoui, Boumediene 9 Alves, Claudianor Oliveira 9 Ao, Weiwei 9 Chen, Wenxiong 9 Chtioui, Hichem 9 Fall, Mouhamed Moustapha 9 Gui, Changfeng 9 Mireles-James, Jason D. 9 Savin, Ovidiu V. 9 Zhang, Mingji 9 Zheng, Youquan 8 Brasco, Lorenzo 8 Fazly, Mostafa 8 Iannizzotto, Antonio 8 Jarohs, Sven 8 Long, Wei 8 Lu, Hong 8 Nochetto, Ricardo Horacio 8 Pinamonti, Andrea 8 Rădulescu, Vicenţiu D. 8 Volzone, Bruno 8 Yang, Jianfu 8 Zhang, Binlin 7 Abdelhedi, Wael 7 Caffarelli, Luis Ángel 7 Choi, Woocheol 7 Cinti, Eleonora 7 Colorado, Eduardo 7 Cozzi, Matteo 7 del Teso, Félix 7 DelaTorre, Azahara 7 Dinh, Van Duong 7 Farina, Alberto 7 James, Guillaume 7 Miyagaki, Olimpio Hiroshi 7 Nazarov, Alexander I. 7 Quaas, Alexander 7 Ros-Oton, Xavier 7 Sun, Jianwen 7 Zou, Wenming 6 Bahrouni, Anouar 6 Banerjee, Agnid 6 Cabré, Xavier 6 Chen, Guoyuan 6 Chen, Huyuan 6 Ferrari, Fausto 6 Grubb, Gerd 6 Hajaiej, Hichem 6 Haro, Àlex 6 Jin, Tianling 6 Li, Congming 6 Lindgren, Erik 6 Mengesha, Tadele 6 Mosconi, Sunra J. N. 6 Musina, Roberta 6 Musso, Monica 6 Nguyen Huy Tuan 6 Niu, Miaomiao 6 Punzo, Fabio 6 Wang, Bixiang 6 Yang, Hui 6 Yang, Jing 6 Zhen, Maoding 6 Zlatoš, Andrej 5 Alouini, Brahim 5 Bruno, Tommaso 5 Byun, Sun-Sig 5 Calleja, Renato C. 5 Choudhuri, Debajyoti 5 Coville, Jerome 5 Dávila, Gonzalo 5 Dávila, Juan 5 Del Pezzo, Leandro M. 5 Del Pino, Manuel A. 5 Du, Zhuoran 5 Endal, Jørgen 5 Felli, Veronica 5 Feng, Binhua ...and 1,352 more Authors all top 5 Cited in 230 Serials 82 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 79 Journal of Differential Equations 70 Calculus of Variations and Partial Differential Equations 54 Discrete and Continuous Dynamical Systems 40 Communications on Pure and Applied Analysis 38 Journal of Functional Analysis 34 Journal of Mathematical Analysis and Applications 30 Annales de l’Institut Henri Poincaré. 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RACSAM 3 Mathematical Control and Related Fields 2 Inverse Problems 2 Mathematical Notes 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Applied Mathematics and Optimization 2 Archiv der Mathematik ...and 130 more Serials all top 5 Cited in 41 Fields 1,154 Partial differential equations (35-XX) 131 Operator theory (47-XX) 109 Global analysis, analysis on manifolds (58-XX) 103 Real functions (26-XX) 92 Numerical analysis (65-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 84 Dynamical systems and ergodic theory (37-XX) 70 Functional analysis (46-XX) 68 Differential geometry (53-XX) 53 Integral equations (45-XX) 38 Ordinary differential equations (34-XX) 35 Probability theory and stochastic processes (60-XX) 34 Mechanics of particles and systems (70-XX) 34 Statistical mechanics, structure of matter (82-XX) 27 Fluid mechanics (76-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 21 Potential theory (31-XX) 20 Mechanics of deformable solids (74-XX) 16 Biology and other natural sciences (92-XX) 14 Quantum theory (81-XX) 12 Abstract harmonic analysis (43-XX) 11 Functions of a complex variable (30-XX) 11 Systems theory; control (93-XX) 9 Topological groups, Lie groups (22-XX) 8 Measure and integration (28-XX) 7 Approximations and expansions (41-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 4 Difference and functional equations (39-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year