Go to the content (press return)

Cabre Vilagut, Xavier

Total activity: 190
Areas of expertise
Partial Differential Equations
Professional category
University professor
Research group
EDP - Partial Differential Equations and Applications
Department
Department of Mathematics
School
Barcelona School of Industrial Engineering (ETSEIB)
E-mail
xavier.cabreupc.edu
Contact details
UPC directory Open in new window
Orcid
0000-0001-5682-3135 Open in new window
Links of interest
Homepage Open in new window

Scientific and technological production

1 to 50 of 190 results
 
  • A priori estimates for semistable solutions of semilinear elliptic equations  Open access

     Cabre, X.; Sanchon, M.; Spruck, J.
    Discrete and continuous dynamical systems. Series A
    Vol. 36, num. 2, p. 601-609
    DOI: 10.3934/dcds.2016.36.601
    Date of publication: 2016-02-01
    Journal article
    Access to the full text
  • Recent applications of Nirenberg’s classical ideas  Open access

     Sormani, C.; Cabre, X.
    Notices of the American Mathematical Society
    Vol. 63, num. 2, p. 126-128
    DOI: 10.1090/noti1332
    Date of publication: 2016-02-01
    Journal article
    Access to the full text
  • An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions

     Cabre, X.; Serra, J.
    Nonlinear analysis, theory, methods and applications
    Vol. 137, p. 246-265
    DOI: 10.1016/j.na.2015.12.014
    Date of publication: 2015-09-10
    Journal article
  • Nonlinear equations for fractional laplacians II: existence, uniqueness, and qualitative properties of solutions  Open access

     Cabre, X.; Yannick, S.
    Transactions of the American Mathematical Society
    Vol. 367, num. 2, p. 911-941
    Date of publication: 2015-02-01
    Journal article
    Access to the full text
  • Traveling wave solutions in a half-space for boundary reactions  Open access

     Cabre, X.; Consul, M. N.; Mande, J.
    Analysis & PDE
    Vol. 8, num. 2, p. 333-364
    DOI: 10.2140/apde.2015.8.333
    Date of publication: 2015-01-01
    Journal article
    Access to the full text
  • The influence of fractional diffusion in Allen-Cahn and KPP type equations

     Cabre, X.
    Nonlocal days in Basel
    Presentation's date: 2014-12
    Presentation of work at congresses
  • The influence of fractional diffusion in Allen-Cahn and KPP type equations

     Cabre, X.
    Workshop on Singularities arising in Nonlinear Problems
    Presentation's date: 2014-11
    Presentation of work at congresses
  • Propagation in reaction-diffusion equations with fractional diffusion  Open access

    Department of Applied Mathematics I, Universitat Politècnica de Catalunya
    Theses
  • Journal of the European Mathematical Society

     Cabre, X.
    Collaboration in journals
  • New isoperimetric inequalities with densities arising in reaction-diffusion problems

     Cabre, X.
    Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI
    Presentation's date: 2014-07
    Presentation of work at congresses
  • Integro-differential equations: regularity theory and Pohozaev identities

     Ros, X.
    Department of Applied Mathematics I, Universitat Politècnica de Catalunya
    Theses
  • Elliptic and parabolic PDEs: regularity for nonlocal diffusion equations and two isoperimetric problems

     Serra, J.
    Department of Applied Mathematics I, Universitat Politècnica de Catalunya
    Theses
  • On traveling waves under the presence of fractional diffusion

     Cabre, X.
    Geometric Aspects of Semilinear Elliptic and Parabolic Equations: Recent Advances and Future Perspectives
    Presentation's date: 2014-05
    Presentation of work at congresses
  • Sharp energy estimates for nonlinear fractional diffusion equations

     Cabre, X.; Cinti, E.
    Calculus of variations and partial differential equations
    Vol. 49, num. 1-2, p. 233-269
    DOI: 10.1007/s00526-012-0580-6
    Date of publication: 2014-01
    Journal article
  • Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates

     Cabre, X.; Yannick, S.
    Annales de l'Institut Henri Poincaré. Analyse non linéaire
    Vol. 31, num. 1, p. 23-53
    DOI: 10.1016/j.anihpc.2013.02.001
    Date of publication: 2014-01-01
    Journal article
  • The influence of fractional diffusion in Fisher-KPP equations

     Cabre, X.; Roquejoffre, J.
    Communications in mathematical physics
    Vol. 320, num. 3, p. 679-722
    DOI: 10.1007/s00220-013-1682-5
    Date of publication: 2013
    Journal article
  • Sobolev and isoperimetric inequalities with monomial weights

     Cabre, X.; Ros, X.
    Journal of differential equations
    Vol. 255, num. 11, p. 4312-4336
    DOI: 10.1016/j.jde.2013.08.010
    Date of publication: 2013
    Journal article
  • Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution

     Cabre, X.; Ros, X.
    Communications in partial differential equations
    Vol. 38, num. 1, p. 135-154
    DOI: 10.1080/03605302.2012.697505
    Date of publication: 2013-01
    Journal article
  • Euclidean balls solve some isoperimetric problems with nonradial weights

     Cabre, X.; Ros, X.; Serra, J.
    Comptes rendus de l'Académie des sciences. Série 1, Mathématique
    Vol. 350, num. 21-22, p. 945-947
    DOI: 10.1016/j.crma.2012.10.031
    Date of publication: 2012-11
    Journal article
  • Uniqueness and stability of saddle-shaped solutions to the Allen-Cahn equation

     Cabre, X.
    Journal de mathématiques pures et appliquées
    Vol. 98, num. 3, p. 239-256
    DOI: 10.1016/j.matpur.2012.02.006
    Date of publication: 2012-09
    Journal article
  • Propagation in Fisher-KPP type equations with fractional diffusion in periodic media

     Cabre, X.; Coulon, A.; Roquejoffre, J.
    Comptes rendus de l'Académie des sciences. Série 1, Mathématique
    Vol. 350, num. 19-20, p. 885-890
    DOI: 10.1016/j.crma.2012.10.007
    Date of publication: 2012-09
    Journal article
  • Jornades d'Interacció entre els Sistemes Dinàmics i les EDP (JISD)

     Delshams, A.; Gonzalez, M.; Cabre, X.; Martinez-seara, Tere
    Competitive project
  • Elliptic problems with axial symmetry: antisymmetry and isoperimetry

     Cabre, X.
    Progress in Nonlinear Partial Differential Equations
    p. 9
    Presentation's date: 2012-06-05
    Presentation of work at congresses
  • Geometric-type Sobolev inequalities and applications to the regularity of minimizers

     Cabre, X.; Sanchón, M.
    Journal of functional analysis
    Vol. 264, num. 1, p. 303-325
    DOI: 10.1016/j.jfa.2012.10.012
    Date of publication: 2012-01-01
    Journal article
  • Ecuaciones en derivadas parciales: problemas de reacción-difusión y problemas geométricos

     Lubary, J.; Gonzalez, M.; Haro, J.; Sola-morales, J.; Consul, M. N.; Ros, X.; Serra, J.; Cabre, X.
    Competitive project
  • Jornades d'Interacció entre sistemes dinàmics i EDP

     Delshams, A.; Cabre, X.; Gonzalez, M.; Martinez-seara, Tere
    Competitive project
  • Saddle-shaped solutions to the scalar Ginzburg-Landau equation

     Cabre, X.
    Recent Trends in Nonlinear PDE
    Presentation's date: 2011-09-22
    Presentation of work at congresses
  • Uniqueness and stability of saddle-shaped solutions to the Allen-Cahn equation

     Cabre, X.
    Nonlinear PDEs and Functional Inequalities
    Presentation's date: 2011-09-19
    Presentation of work at congresses
  • Qualitative properties of saddle-shaped solutions to the Allen-Cahn equation

     Cabre, X.
    Escola Brasileira de Equaçoes Diferenciais
    Presentation's date: 2011-08
    Presentation of work at congresses
  • Uniqueness and stability of saddle-shaped solutions to the Allen-Cahn equation

     Cabre, X.
    Geometric properties of solutions of nonlinear PDEs and their applications
    Presentation's date: 2011-07-17
    Presentation of work at congresses
  • Uniqueness and stability of saddle-shaped solutions to the Allen-Cahn equation

     Cabre, X.
    Fronts et EDP non linéaires: colloque en l'honneur de Henri Berestycki
    Presentation's date: 2011-06-20
    Presentation of work at congresses
  • Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian

     Cabre, X.; Cinti, E.
    Discrete and continuous dynamical systems. Series A
    Vol. 28, num. 3, p. 1179-1206
    DOI: 10.3934/dcds.2010.28.1179
    Date of publication: 2010-11
    Journal article
  • Regularity of minimizers of semilinear elliptic problems up to dimension 4

     Cabre, X.
    Communications on pure and applied mathematics
    Vol. 63, num. 10, p. 1362-1380
    DOI: 10.1002/cpa.20327
    Date of publication: 2010-10
    Journal article
  • Positive solutions of nonlinear problems involving the square root of the Laplacian

     Cabre, X.; Tan, J.
    Advances in mathematics
    Vol. 224, num. 5, p. 2052-2093
    DOI: 10.1016/j.aim.2010.01.025
    Date of publication: 2010-08-01
    Journal article
  • Bistable elliptic equations with fractional diffusion

     Cinti, E.
    Department of Applied Mathematics I, Universitat Politècnica de Catalunya
    Theses
  • Front propagation and phase transitions for fractional diffusion equations

     Cabre, X.
    Joint SIAM/RSME-SCM-SEMA Meeting
    Presentation's date: 2010-06-04
    Presentation of work at congresses
  • Phase transitions and front propagation for fractional diffusion equations

     Cabre, X.
    Nonlinear evolution equations
    Presentation's date: 2010-06
    Presentation of work at congresses
  • Jornades d'introducció als sistemes dinàmics i a les EDP's 2010 (JISD2010)

     Gonzalez, M.; Martinez-seara, Tere; Cabre, X.
    Competitive project
  • Qualitative Properties of Saddle-Shaped Solutions to Bistable Diffusion Equations

     Cabre, X.; Terra, J.
    Communications in partial differential equations
    Vol. 35, num. 11, p. 19231-1957
    DOI: 10.1080/03605302.2010.484039
    Date of publication: 2010
    Journal article
  • Liouville theorems in bistable diffusion equations. Standard and fractional diffusion (I - II)

     Cabre, X.
    Nonlinear PDE Days
    p. 1
    Presentation's date: 2010-01
    Presentation of work at congresses
  • EQUACIONS DIFERENCIALS EN DERIVADES PARCIALS I APLICACIONS

     Aguareles, M.; Valencia, M.; Sola-morales, J.; Lucia, M.; Haro, J.; Consul, M. N.; Lubary, J.; Mande, J.; Gonzalez, M.; Serra, J.; Ros, X.; Cabre, X.
    Competitive project
  • Front propagation in Fisher-KPP equations with fractional diffusion

     Cabre, X.; Roquejoffre, J.
    Comptes rendus de l'Académie des sciences. Série 1, Mathématique
    Vol. 347, num. 23-24, p. 1361-1366
    DOI: 10.1016/j.crma.2009.10.012
    Date of publication: 2009-12
    Journal article
  • Access to the full text
  • Front propagation in Fisher-KPP equations with fractional diffusion  Open access

     Cabre, X.; Roquejoffre, J.
    Date: 2009-05
    Report
    Access to the full text
  • Regularity of radial minimizers of reaction equations involving the p-Laplacian

     Cabre, X.; Capella, A.; Sanchón, M.
    Calculus of variations and partial differential equations
    Vol. 34, num. 4, p. 475-494
    Date of publication: 2009-04
    Journal article
  • Saddle-shaped solutions of bistable diffusion equations in all of $\Bbb R^{2m}$

     Cabre, X.
    Congreso de la Real Sociedad de Matemática Española 2009
    p. 7
    Presentation's date: 2009-02-06
    Presentation of work at congresses
  • Saddle-shaped solutions of bistable diffusion equations in all of R2m

     Cabre, X.; Mourao, J.
    Journal of the European Mathematical Society
    Vol. 11, num. 4, p. 819-843
    DOI: 10.4171/JEMS/168
    Date of publication: 2009
    Journal article