Publications
Mes travaux de recherche s’inscrivent dans plusieurs domaines de l’analyse : calcul des variations et équations aux dérivées partielles elliptiques, théorie géométrique de la mesure et analyse harmonique, singularités
topologiques dans les espaces de Sobolev.
[1] Pierre BOUSQUET et Gyula CSATÓ : The equation div u + <a,u> =f. Soumis.
[2] Pierre BOUSQUET, Emmanuel RUSS , Yi WANG et Po-Lam YUNG : Approximation in fractional Sobolev spaces and Hodge systems. Soumis.
[3] Guy BOUCHITTÉ et Pierre BOUSQUET : On a degenerate problem in the Calculus of Variations. Trans. Amer. Math. Soc., A paraître.
[4] Pierre BOUSQUET, Augusto C. P ONCE et Jean VAN SCHAFTINGEN : Weak approximation by bounded Sobolev maps with values into complete manifolds. C. R. Math. Acad. Sci. Paris, 356(3):264–271, 2018.
[5] P. BOUSQUET , L. BRASCO , C. LEONE et A. VERDE : On the Lipschitz character of orthotropic p-harmonic functions. Calc. Var. Partial Differential Equations, 57(3):Art. 88, 33, 2018.
[6] Pierre BOUSQUET et Lorenzo BRASCO : C^1 regularity of orthotropic p-harmonic functions in the plane. Anal. PDE, 11(4):813–854, 2018.
[7] Pierre BOUSQUET , Augusto C. PONCE et Jean VAN SCHAFTINGEN : Density of bounded maps in Sobolev spaces into complete manifolds. Ann. Mat. Pura Appl. (4), 196(6):2261–2301, 2017.
[8] Pierre BOUSQUET et Lorenzo BRASCO : Global Lipschitz continuity for minima of degenerate problems. Math. Ann., 366(3-4):1403–1450, 2016.
[9] Pierre BOUSQUET, Lorenzo BRASCO et Vesa JULIN : Lipschitz regularity for local minimizers of some widely degenerate problems. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 16(4):1235–1274, 2016.
[10] Pierre BOUSQUET, Franck BOYER et Flore NABET : On a functional inequality arising in the analysis of finite-volume methods. Calcolo, 53(3):363–397, 2016.
[11] Pierre BOUSQUET , Augusto C. PONCE et Jean VAN SCHAFTINGEN : Strong density for higher order Sobolev spaces into compact manifolds. J. Eur. Math. Soc. (JEMS), 17(4):763–817, 2015.
[12] Pierre BOUSQUET et Jean VAN SCHAFTINGEN : Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Indiana Univ. Math. J., 63(5):1419–1445, 2014.
[13] Pierre BOUSQUET , Augusto C. PONCE et Jean VAN SCHAFTINGEN : Strong approximation of fractional Sobolev maps. J. Fixed Point Theory Appl., 15(1):133–153, 2014.
[14] Pierre BOUSQUET et Petru MIRONESCU : Prescribing the Jacobian in critical spaces. J. Anal. Math., 122:317–373, 2014.
[15] Pierre BOUSQUET , Carlo MARICONDA et Giulia TREU : On the Lavrentiev phenomenon for multiple integral scalar variational problems. J. Funct. Anal., 266(9):5921–5954, 2014.
[16] Pierre BOUSQUET , Augusto C. PONCE et Jean VAN SCHAFTINGEN : Density of smooth maps for fractional Sobolev spaces W^{s,p} into simply connected manifolds when s >1. Confluentes Math., 5(2):3–22, 2013.
[17] Pierre BOUSQUET , Petru MIRONESCU et Emmanuel RUSS : A limiting case for the divergence equation. Math. Z., 274(1-2):427–460, 2013.
[18] Pierre BOUSQUET : The Euler equation in the multiple integrals calculus of variations. SIAM J. Control Optim., 51(2):1047–1062, 2013.
[19] Pierre BOUSQUET : Continuity of solutions of a nonlinear elliptic equation. ESAIM Control Optim. Calc. Var., 19(1):1–19, 2013.
[20] Pierre BOUSQUET et Petru MIRONESCU : An elementary proof of an inequality of Maz’ya involving L^1 vector fields. In Nonlinear elliptic partial differential equations, volume 540 de Contemp. Math., pages 59–63. Amer. Math. Soc., Providence, RI, 2011.
[21] Pierre BOUSQUET : Continuity of solutions of a problem in the calculus of variations. Calc. Var. Partial Differential Equations, 41(3-4):413–433, 2011.
[22] Pierre BOUSQUET : Boundary continuity of solutions to a basic problem in the calculus of variations. Adv. Calc. Var., 3(1):1–27, 2010.
[23] Pierre BOUSQUET , Carlo MARICONDA et Giulia TREU : Hölder continuity of solutions to a basic problem in the calculus of variations. C. R. Math. Acad. Sci. Paris, 346(23-24):1301–1305, 2008.
[24] Pierre BOUSQUET , Augusto C. PONCE et Jean VAN SCHAFTINGEN : A case of density in W^{2,p} (M ; N ). C. R. Math.Acad. Sci. Paris, 346(13-14):735–740, 2008.
[25] Pierre BOUSQUET : Fractional Sobolev spaces and topology. Nonlinear Anal., 68(4):804–827, 2008.
[26] Pierre BOUSQUET et Francis CLARKE : Local Lipschitz continuity of solutions to a problem in the calculus of variations. J. Differential Equations, 243(2):489–503, 2007.
[27] Pierre BOUSQUET : Local Lipschitz continuity of solutions of non-linear elliptic differential-functional equations. ESAIM Control Optim. Calc. Var., 13(4):707–716 (electronic), 2007.
[28] Pierre BOUSQUET : Topological singularities in W^{s,p} (S^N , S^1). J. Anal. Math., 102:311–346, 2007.
[29] Pierre BOUSQUET : On the lower bounded slope condition. J. Convex Anal., 14(1):119–136, 2007.
[30] Pierre BOUSQUET et Francis CLARKE : Continuité lipschitzienne des solutions d’un problème en calcul des variations. C. R. Math. Acad. Sci. Paris, 343(3):225–228, 2006.