## Mora-Corral, Carlos

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 Author ID: mora-corral.carlos Published as: Mora-Corral, Carlos; Mora-Corral, C. External Links: MGP
 Documents Indexed: 42 Publications since 2003, including 1 Book 1 Contribution as Editor Co-Authors: 23 Co-Authors with 36 Joint Publications 450 Co-Co-Authors
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### Co-Authors

 7 single-authored 10 López-Gómez, Julián 8 Henao, Duvan A. 7 Bellido, José Carlos 3 Cueto, Javier 3 Oliva, Marcos 2 Pedregal, Pablo 2 Xu, Xianmin 1 Baíllo, Amparo 1 Ball, John MacLeod 1 Barchiesi, Marco 1 Cano-Casanova, Santiago 1 Cárcamo, Javier 1 Faraco, Daniel 1 Hencl, Stanislav 1 Kružík, Martin 1 Magnus, Robert J. 1 Martínez-Frutos, Jesús 1 Ortigosa, Rogelio 1 Periago, Francisco 1 Pratelli, Aldo 1 Stefanelli, Ulisse 1 Strugaru, Magdalena 1 Tellini, Andrea
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### Serials

 4 Archive for Rational Mechanics and Analysis 3 SIAM Journal on Mathematical Analysis 3 Calculus of Variations and Partial Differential Equations 3 Advances in Calculus of Variations 2 Houston Journal of Mathematics 2 Integral Equations and Operator Theory 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Bulletin of the London Mathematical Society 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 The Journal of Geometric Analysis 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Continuum Mechanics and Thermodynamics 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 The Quarterly Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Operator Theory: Advances and Applications
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### Fields

 22 Mechanics of deformable solids (74-XX) 14 Operator theory (47-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Partial differential equations (35-XX) 5 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 301 times in 164 Documents Cited by Year
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity. Zbl 1248.74006
Henao, Duvan; Mora-Corral, Carlos
2010
Algebraic multiplicity of eigenvalues of linear operators. Zbl 1144.47001
López-Gómez, Julián; Mora-Corral, Carlos
2007
Hyperelasticity as a $$\Gamma$$-limit of peridynamics when the horizon goes to zero. Zbl 1327.74031
Bellido, José C.; Mora-Corral, Carlos; Pedregal, Pablo
2015
Existence for nonlocal variational problems in peridynamics. Zbl 1297.26009
Bellido, José C.; Mora-Corral, Carlos
2014
Lusin’s condition and the distributional determinant for deformations with finite energy. Zbl 1252.49016
Henao, Duvan; Mora-Corral, Carlos
2012
Fracture surfaces and the regularity of inverses for BV deformations. Zbl 1262.74007
Henao, Duvan; Mora-Corral, Carlos
2011
Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity. Zbl 1371.35284
Barchiesi, Marco; Henao, Duvan; Mora-Corral, Carlos
2017
Approximation of piecewise affine homeomorphisms by diffeomorphisms. Zbl 1300.41014
Mora-Corral, Carlos; Pratelli, Aldo
2014
Regularity of inverses of Sobolev deformations with finite surface energy. Zbl 1425.74017
Henao, Duvan; Mora-Corral, Carlos
2015
Approximation by piecewise affine homeomorphisms of Sobolev homeomorphisms that are smooth outside a point. Zbl 1182.57019
Mora-Corral, Carlos
2009
A variational model allowing both smooth and sharp phase boundaries in solids. Zbl 1152.74316
Ball, John M.; Mora-Corral, Carlos
2009
Approximation of Hölder continuous homeomorphisms by piecewise affine homeomorphisms. Zbl 1228.57009
Bellido, José C; Mora-Corral, Carlos
2011
Counting zeros of $$C^1$$ Fredholm maps of index 1. Zbl 1086.47039
López-Gómez, J.; Mora-Corral, C.
2005
$$\Gamma$$-convergence approximation of fracture and cavitation in nonlinear elasticity. Zbl 1457.35081
Henao, Duvan; Mora-Corral, Carlos; Xu, Xianmin
2015
Lower semicontinuity and relaxation via Young measures for nonlocal variational problems and applications to peridynamics. Zbl 1386.49015
Bellido, José C.; Mora-Corral, Carlos
2018
A numerical study of void coalescence and fracture in nonlinear elasticity. Zbl 1425.74080
Henao, Duvan; Mora-Corral, Carlos; Xu, Xianmin
2016
Fractional Piola identity and polyconvexity in fractional spaces. Zbl 1442.35445
Bellido, José C.; Cueto, Javier; Mora-Corral, Carlos
2020
Explicit energy-minimizers of incompressible elastic brittle bars under uniaxial extension. (Minimiseurs de l’énergie explicits d’une barre incompressible, élastique, mais fragile, soumise à une extension uniaxiale.) Zbl 1426.74186
Mora-Corral, Carlos
2010
Relaxation of a scalar nonlocal variational problem with a double-well potential. Zbl 1436.49019
Mora-Corral, Carlos; Tellini, Andrea
2020
Sobolev homeomorphisms with gradients of low rank via laminates. Zbl 1396.26023
Faraco, Daniel; Mora-Corral, Carlos; Oliva, Marcos
2018
On the uniqueness of the algebraic multiplicity. Zbl 1073.47508
Mora-Corral, C.
2004
Minimal complexity of semi-bounded components in bifurcation theory. Zbl 1078.47032
López-Gómez, Julián; Mora-Corral, Carlos
2004
Quasistatic evolution of cavities in nonlinear elasticity. Zbl 1286.49015
Mora-Corral, Carlos
2014
Diffeomorphic approximation of continuous almost everywhere injective Sobolev deformations in the plane. Zbl 1331.41022
Hencl, Stanislav; Mora-Corral, Carlos
2015
$$\Gamma$$-convergence of polyconvex functionals involving $$s$$-fractional gradients to their local counterparts. Zbl 1455.49008
Bellido, José C.; Cueto, Javier; Mora-Corral, Carlos
2021
Continuum limits of atomistic energies allowing smooth and sharp interfaces in 1D elasticity. Zbl 1422.74012
Mora-Corral, Carlos
2009
Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero. Zbl 1450.35249
Bellido, J. C.; Cueto, J.; Mora-Corral, C.
2020
Quasistatic elastoplasticity via Peridynamics: existence and localization. Zbl 1396.74037
Kružík, Martin; Mora-Corral, Carlos; Stefanelli, Ulisse
2018
Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers. Zbl 1437.49029
Mora-Corral, Carlos; Oliva, Marcos
2019
$$\Gamma$$-convergence of polyconvex functionals involving $$s$$-fractional gradients to their local counterparts. Zbl 1455.49008
Bellido, José C.; Cueto, Javier; Mora-Corral, Carlos
2021
Fractional Piola identity and polyconvexity in fractional spaces. Zbl 1442.35445
Bellido, José C.; Cueto, Javier; Mora-Corral, Carlos
2020
Relaxation of a scalar nonlocal variational problem with a double-well potential. Zbl 1436.49019
Mora-Corral, Carlos; Tellini, Andrea
2020
Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero. Zbl 1450.35249
Bellido, J. C.; Cueto, J.; Mora-Corral, C.
2020
Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers. Zbl 1437.49029
Mora-Corral, Carlos; Oliva, Marcos
2019
Lower semicontinuity and relaxation via Young measures for nonlocal variational problems and applications to peridynamics. Zbl 1386.49015
Bellido, José C.; Mora-Corral, Carlos
2018
Sobolev homeomorphisms with gradients of low rank via laminates. Zbl 1396.26023
Faraco, Daniel; Mora-Corral, Carlos; Oliva, Marcos
2018
Quasistatic elastoplasticity via Peridynamics: existence and localization. Zbl 1396.74037
Kružík, Martin; Mora-Corral, Carlos; Stefanelli, Ulisse
2018
Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity. Zbl 1371.35284
Barchiesi, Marco; Henao, Duvan; Mora-Corral, Carlos
2017
A numerical study of void coalescence and fracture in nonlinear elasticity. Zbl 1425.74080
Henao, Duvan; Mora-Corral, Carlos; Xu, Xianmin
2016
Hyperelasticity as a $$\Gamma$$-limit of peridynamics when the horizon goes to zero. Zbl 1327.74031
Bellido, José C.; Mora-Corral, Carlos; Pedregal, Pablo
2015
Regularity of inverses of Sobolev deformations with finite surface energy. Zbl 1425.74017
Henao, Duvan; Mora-Corral, Carlos
2015
$$\Gamma$$-convergence approximation of fracture and cavitation in nonlinear elasticity. Zbl 1457.35081
Henao, Duvan; Mora-Corral, Carlos; Xu, Xianmin
2015
Diffeomorphic approximation of continuous almost everywhere injective Sobolev deformations in the plane. Zbl 1331.41022
Hencl, Stanislav; Mora-Corral, Carlos
2015
Existence for nonlocal variational problems in peridynamics. Zbl 1297.26009
Bellido, José C.; Mora-Corral, Carlos
2014
Approximation of piecewise affine homeomorphisms by diffeomorphisms. Zbl 1300.41014
Mora-Corral, Carlos; Pratelli, Aldo
2014
Quasistatic evolution of cavities in nonlinear elasticity. Zbl 1286.49015
Mora-Corral, Carlos
2014
Lusin’s condition and the distributional determinant for deformations with finite energy. Zbl 1252.49016
Henao, Duvan; Mora-Corral, Carlos
2012
Fracture surfaces and the regularity of inverses for BV deformations. Zbl 1262.74007
Henao, Duvan; Mora-Corral, Carlos
2011
Approximation of Hölder continuous homeomorphisms by piecewise affine homeomorphisms. Zbl 1228.57009
Bellido, José C; Mora-Corral, Carlos
2011
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity. Zbl 1248.74006
Henao, Duvan; Mora-Corral, Carlos
2010
Explicit energy-minimizers of incompressible elastic brittle bars under uniaxial extension. (Minimiseurs de l’énergie explicits d’une barre incompressible, élastique, mais fragile, soumise à une extension uniaxiale.) Zbl 1426.74186
Mora-Corral, Carlos
2010
Approximation by piecewise affine homeomorphisms of Sobolev homeomorphisms that are smooth outside a point. Zbl 1182.57019
Mora-Corral, Carlos
2009
A variational model allowing both smooth and sharp phase boundaries in solids. Zbl 1152.74316
Ball, John M.; Mora-Corral, Carlos
2009
Continuum limits of atomistic energies allowing smooth and sharp interfaces in 1D elasticity. Zbl 1422.74012
Mora-Corral, Carlos
2009
Algebraic multiplicity of eigenvalues of linear operators. Zbl 1144.47001
López-Gómez, Julián; Mora-Corral, Carlos
2007
Counting zeros of $$C^1$$ Fredholm maps of index 1. Zbl 1086.47039
López-Gómez, J.; Mora-Corral, C.
2005
On the uniqueness of the algebraic multiplicity. Zbl 1073.47508
Mora-Corral, C.
2004
Minimal complexity of semi-bounded components in bifurcation theory. Zbl 1078.47032
López-Gómez, Julián; Mora-Corral, Carlos
2004
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### Cited by 197 Authors

 18 Mora-Corral, Carlos 13 Henao, Duvan A. 11 López-Gómez, Julián 10 Bellido, José Carlos 8 Kružík, Martin 7 Hencl, Stanislav 6 Campbell, Daniel 6 Ma, Ruyun 5 Bevan, Jonathan J. 5 Lu, Yanqiong 5 Pratelli, Aldo 5 Stefanelli, Ulisse 4 Benešová, Barbora 4 Conti, Sergio 4 Molchanova, Anastasia Olegovna 4 Muñoz, Julio 4 Ortiz, Michael 4 Pedregal, Pablo 4 Sampedro, Juan Carlos 4 Sivaloganathan, Jeyabal 3 Andrés, Fuensanta 3 Ball, John MacLeod 3 Cueto, Javier 3 Dai, Guowei 3 Evgrafov, Anton 3 Kreisbeck, Carolin 3 Li, Zhiping 3 Lipton, Robert P. 3 Malý, Jan 3 Negrón-Marrero, Pablo V. 3 Oliva, Marcos 3 Roskovec, Tomáš G. 3 Schlömerkemper, Anja 3 Xu, Xianmin 2 Antón, Inmaculada 2 Barchiesi, Marco 2 Cañulef-Aguilar, Victor 2 Chambolle, Antonin 2 Chen, Ruipeng 2 Comi, Giovanni E. 2 Davoli, Elisa 2 Deane, Jonathan H. B. 2 Du, Qiang 2 Friedrich, Manuel 2 Grandi, Diego 2 Iwaniec, Tadeusz 2 Kauranen, Aapo 2 Krömer, Stefan 2 Liu, Zhuomin 2 Lopez-Pamies, Oscar 2 Mainini, Edoardo 2 Mengesha, Tadele 2 Onninen, Jani 2 Ortega, Alejandro 2 Pelech, Petr 2 Pock, Thomas 2 Radici, Emanuela 2 Schiattarella, Roberta 2 Soudský, Filip 2 Stefani, Giorgio 2 Stroffolini, Bianca 2 Taylor, Jamie M. 2 Weinberg, Kerstin 2 Xu, Xian 2 Zappale, Elvira 1 Abreu-Blaya, Ricardo 1 Aleja, David 1 Altmann, Robert 1 Athanassoulis, Agisillaos 1 Bhattacharya, Kaushik 1 Bory Reyes, Juan 1 Bouali, Bouchta 1 Bouchala, Ondřej 1 Braides, Andrea 1 Bresciani, Marco 1 Bruè, Elia 1 Calzi, Mattia 1 Canevari, Giacomo 1 Cano-Casanova, Santiago 1 Carozza, Menita 1 Cermelli, Paolo 1 Chen, Siyu 1 Chen, Tianlan 1 Cintra, Willian 1 Crooks, Elaine C. M. 1 Daneri, Sara 1 Dayal, Kaushik 1 De Lellis, Camillo 1 De Philippis, Guido 1 DeSimone, Antonio 1 Diehl, Patrick 1 Doležalová, Anna 1 Dolzmann, Georg 1 D’Onofrio, Luigi 1 Dovetta, Simone 1 Drelichman, Irene 1 Durán, Ricardo G. 1 Dyda, Bartłomiej 1 Esposito, Luca 1 Fanzon, Silvio ...and 97 more Authors
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### Cited in 64 Serials

 18 Archive for Rational Mechanics and Analysis 15 Calculus of Variations and Partial Differential Equations 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Mathematical Analysis and Applications 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of Elasticity 6 SIAM Journal on Mathematical Analysis 4 Nonlinearity 4 Journal of Functional Analysis 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Revista Matemática Complutense 3 Journal of the Mechanics and Physics of Solids 3 Journal of Differential Equations 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Discrete and Continuous Dynamical Systems 3 Mathematics and Mechanics of Solids 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Control and Optimization 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 SIAM Journal on Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Networks and Heterogeneous Media 2 Advances in Calculus of Variations 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Mathematical Notes 1 Arkiv för Matematik 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Siberian Mathematical Journal 1 Computational Mechanics 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Selecta Mathematica. New Series 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Interfaces and Free Boundaries 1 Acta Mathematica Sinica. English Series 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Analysis & PDE 1 Random Matrices: Theory and Applications 1 Mathematical Control and Related Fields 1 S$$\vec{\text{e}}$$MA Journal 1 Advances in Nonlinear Analysis
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### Cited in 31 Fields

 76 Mechanics of deformable solids (74-XX) 58 Partial differential equations (35-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 28 Real functions (26-XX) 27 Functional analysis (46-XX) 18 Operator theory (47-XX) 10 Numerical analysis (65-XX) 8 Ordinary differential equations (34-XX) 7 Functions of a complex variable (30-XX) 7 Approximations and expansions (41-XX) 5 Measure and integration (28-XX) 5 Integral equations (45-XX) 5 Biology and other natural sciences (92-XX) 4 Manifolds and cell complexes (57-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)