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## González, María del Mar

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 Author ID: gonzalez.maria-del-mar Published as: González, María del Mar; del Mar González, María; González, María Del Mar; Del Mar González, María; del Mar González, Maria; Gonzalez, Maria del Mar; Gonzalez, Maria Del Mar; González, Maria del Mar; González, María D. M.; del Mar Gonzalez, M.; González, María Homepage: http://verso.mat.uam.es/~maria.gonzalez/ External Links: MGP
 Documents Indexed: 41 Publications since 2005, including 1 Book
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#### Co-Authors

 6 single-authored 7 Gualdani, Maria Pia 6 Ao, Weiwei 6 Wei, Juncheng 5 Chan, Hardy 4 DelaTorre, Azahara 3 Fontelos López, Marco Antonio 3 Sáez, Mariel 3 Sire, Yannick 1 Bandle, Catherine 1 Banica, Valeria 1 Caffarelli, Luis Ángel 1 Carrillo de la Plata, José Antonio 1 Chang, Sun-Yung Alice 1 Chayes, Lincoln 1 Cinti, Eleonora 1 Del Pino, Manuel A. 1 Dela, Torre Azahara 1 Enciso, Alberto 1 Fang, Yi 1 Franchi, Bruno 1 Frank, Rupert L. 1 Gambino, Nicola 1 Huang, Yanghong 1 Kim, Inwon Christina 1 Kock, Joachim 1 Lee, Ki-Ahm 1 Lee, Taehun 1 Li, YanYan 1 Mainini, Edoardo 1 Mazzeo, Rafe R. 1 Mazzieri, Lorenzo 1 Monneau, Régis 1 Monticelli, Dario Daniele 1 Nguyen, Luc 1 Nguyen, Truyen Van 1 Qing, Jie 1 Schonbek, Maria Elena 1 Shahgholian, Henrik 1 Solà-Morales, Joan 1 Strugaru, Magdalena 1 Tan, Jinggang 1 Vergara, Bruno 1 Volzone, Bruno 1 Wolanski, Noemi I. 1 Yang, Paul C. P.
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#### Serials

 5 Calculus of Variations and Partial Differential Equations 3 Pacific Journal of Mathematics 3 The Journal of Geometric Analysis 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Revista Matemática Iberoamericana 2 Communications in Partial Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Study 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Analysis & PDE 1 Communications in Mathematics and Statistics 1 Trends in Mathematics. Research Perspectives CRM Barcelona
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#### Fields

 33 Partial differential equations (35-XX) 16 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 446 times in 263 Documents Cited by Year
Fractional Laplacian in conformal geometry. Zbl 1214.26005
Chang, Sun-Yung Alice; del Mar González, María
2011
Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039
del Mar González, María; Qing, Jie
2013
Singular solutions of fractional order conformal Laplacians. Zbl 1255.53037
del Mar González, Maria; Mazzeo, Rafe; Sire, Yannick
2012
Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one. Zbl 1234.35267
González, María del Mar; Monneau, Regis
2012
$$\Gamma$$ convergence of an energy functional related to the fractional Laplacian. Zbl 1175.49013
González, María del Mar
2009
An extension problem for the CR fractional Laplacian. Zbl 1304.35747
Frank, Rupert L.; del Mar González, María; Monticelli, Dario D.; Tan, Jinggang
2015
Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382
Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E.
2013
Delaunay-type singular solutions for the fractional Yamabe problem. Zbl 1378.35321
DelaTorre, Azahara; del Pino, Manuel; González, María del Mar; Wei, Juncheng
2017
Singular sets of a class of locally conformally flat manifolds. Zbl 1088.53023
Del Mar González, María
2005
Global existence and uniqueness of solutions to a model of price formation. Zbl 1228.35007
Chayes, Lincoln; Del Mar González, María; Gualdani, Maria Pia; Kim, Inwon
2009
Some constructions for the fractional Laplacian on noncompact manifolds. Zbl 1334.58014
Banica, Valeria; del Mar González, María; Sáez, Mariel
2015
On higher-dimensional singularities for the fractional Yamabe problem: a nonlocal mazzeo-pacard program. Zbl 1440.35127
Ao, Weiwei; Chan, Hardy; Delatorre, Azahara; Fontelos, Marco A.; González, María Del Mar; Wei, Juncheng
2019
Asymptotics for a free boundary model in price formation. Zbl 1215.35173
González, María del Mar; Gualdani, Maria Pia
2011
Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe-type equations. Zbl 1326.35154
Fang, Yi; del Mar González, María
2015
Removability of singularities for a class of fully nonlinear elliptic equations. Zbl 1151.35347
González, María del Mar
2006
Asymptotics for a symmetric equation in price formation. Zbl 1175.91067
González, María del Mar; Gualdani, Maria Pia
2009
Classification of singularities for a subcritical fully nonlinear problem. Zbl 1192.35050
González, María del Mar
2006
Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry. Zbl 1414.35081
Delatorre, Azahara; González, María Del Mar
2018
Further results on the fractional Yamabe problem: the umbilic case. Zbl 1388.58020
González, María del Mar; Wang, Meng
2018
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
Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets. Zbl 1429.35193
Ao, Weiwei; Chan, Hardy; del Mar González, María; Wei, Juncheng
2018
A perturbation argument for a Monge-Ampère type equation arising in optimal transportation. Zbl 1294.35170
Caffarelli, Luis; Del Mar González, María; Nguyen, Truyen
2014
Recent progress on the fractional Laplacian in conformal geometry. Zbl 1462.53020
del Mar González, Maria
2018
A gluing approach for the fractional Yamabe problem with isolated singularities. Zbl 1448.35539
Ao, Weiwei; DelaTorre, Azahara; González, María del Mar; Wei, Juncheng
2020
Some non-standard Sobolev spaces, interpolation and its application to PDE. Zbl 1257.35108
González, María del Mar; Gualdani, Maria Pia
2012
A discrete Bernoulli free boundary problem. Zbl 1333.35352
del Mar Gonzalez, M.; Gualdani, M.; Shahgholian, H.
2014
Instability and bifurcation in a trend depending price formation model. Zbl 1345.35141
González, María del Mar; Gualdani, Maria Pia; Solà-Morales, Joan
2016
Singularities for a fully non-linear elliptic equation in conformal geometry. Zbl 1303.53050
Gonzalez, Maria del Mar; Mazzieri, Lorenzo
2014
Fractional Laplacians and extension problems: the higher rank case. Zbl 1397.35335
González, María Del Mar; Sáez, Mariel
2018
A nonlocal diffusion problem on manifolds. Zbl 1405.35066
Bandle, Catherine; del Mar González, María; Fontelos, Marco A.; Wolanski, Noemi
2018
A gluing approach for the fractional Yamabe problem with isolated singularities. Zbl 1448.35539
Ao, Weiwei; DelaTorre, Azahara; González, María del Mar; Wei, Juncheng
2020
On higher-dimensional singularities for the fractional Yamabe problem: a nonlocal mazzeo-pacard program. Zbl 1440.35127
Ao, Weiwei; Chan, Hardy; Delatorre, Azahara; Fontelos, Marco A.; González, María Del Mar; Wei, Juncheng
2019
Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry. Zbl 1414.35081
Delatorre, Azahara; González, María Del Mar
2018
Further results on the fractional Yamabe problem: the umbilic case. Zbl 1388.58020
González, María del Mar; Wang, Meng
2018
Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets. Zbl 1429.35193
Ao, Weiwei; Chan, Hardy; del Mar González, María; Wei, Juncheng
2018
Recent progress on the fractional Laplacian in conformal geometry. Zbl 1462.53020
del Mar González, Maria
2018
Fractional Laplacians and extension problems: the higher rank case. Zbl 1397.35335
González, María Del Mar; Sáez, Mariel
2018
A nonlocal diffusion problem on manifolds. Zbl 1405.35066
Bandle, Catherine; del Mar González, María; Fontelos, Marco A.; Wolanski, Noemi
2018
Delaunay-type singular solutions for the fractional Yamabe problem. Zbl 1378.35321
DelaTorre, Azahara; del&nbsp;Pino, Manuel; González, María del Mar; Wei, Juncheng
2017
Instability and bifurcation in a trend depending price formation model. Zbl 1345.35141
González, María del Mar; Gualdani, Maria Pia; Solà-Morales, Joan
2016
An extension problem for the CR fractional Laplacian. Zbl 1304.35747
Frank, Rupert L.; del Mar González, María; Monticelli, Dario D.; Tan, Jinggang
2015
Some constructions for the fractional Laplacian on noncompact manifolds. Zbl 1334.58014
Banica, Valeria; del Mar González, María; Sáez, Mariel
2015
Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe-type equations. Zbl 1326.35154
Fang, Yi; del Mar González, María
2015
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 perturbation argument for a Monge-Ampère type equation arising in optimal transportation. Zbl 1294.35170
Caffarelli, Luis; Del Mar González, María; Nguyen, Truyen
2014
A discrete Bernoulli free boundary problem. Zbl 1333.35352
del Mar Gonzalez, M.; Gualdani, M.; Shahgholian, H.
2014
Singularities for a fully non-linear elliptic equation in conformal geometry. Zbl 1303.53050
Gonzalez, Maria del Mar; Mazzieri, Lorenzo
2014
Fractional conformal Laplacians and fractional Yamabe problems. Zbl 1287.35039
del Mar González, María; Qing, Jie
2013
Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382
Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E.
2013
Singular solutions of fractional order conformal Laplacians. Zbl 1255.53037
del Mar González, Maria; Mazzeo, Rafe; Sire, Yannick
2012
Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one. Zbl 1234.35267
González, María del Mar; Monneau, Regis
2012
Some non-standard Sobolev spaces, interpolation and its application to PDE. Zbl 1257.35108
González, María del Mar; Gualdani, Maria Pia
2012
Fractional Laplacian in conformal geometry. Zbl 1214.26005
Chang, Sun-Yung Alice; del Mar González, María
2011
Asymptotics for a free boundary model in price formation. Zbl 1215.35173
González, María del Mar; Gualdani, Maria Pia
2011
$$\Gamma$$ convergence of an energy functional related to the fractional Laplacian. Zbl 1175.49013
González, María del Mar
2009
Global existence and uniqueness of solutions to a model of price formation. Zbl 1228.35007
Chayes, Lincoln; Del Mar González, María; Gualdani, Maria Pia; Kim, Inwon
2009
Asymptotics for a symmetric equation in price formation. Zbl 1175.91067
González, María del Mar; Gualdani, Maria Pia
2009
Removability of singularities for a class of fully nonlinear elliptic equations. Zbl 1151.35347
González, María del Mar
2006
Classification of singularities for a subcritical fully nonlinear problem. Zbl 1192.35050
González, María del Mar
2006
Singular sets of a class of locally conformally flat manifolds. Zbl 1088.53023
Del Mar González, María
2005
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#### Cited by 319 Authors

 26 González, María del Mar 14 Valdinoci, Enrico 13 Wei, Juncheng 12 Sire, Yannick 9 Chan, Hardy 9 Kim, Seunghyeok 8 Xiong, Jingang 7 Li, YanYan 7 Patrizi, Stefania 6 Chtioui, Hichem 6 Palatucci, Giampiero 5 Ao, Weiwei 5 Cáceres, María-José 5 Case, Jeffrey S. 5 Cinti, Eleonora 5 DelaTorre, Azahara 5 Gualdani, Maria Pia 5 Jin, Tianling 5 Zheng, Youquan 4 Abdelhedi, Wael 4 Caffarelli, Luis Ángel 4 Dipierro, Serena 4 Figalli, Alessio 4 Liu, Chungen 4 Luo, Huxiao 4 Markowich, Peter Alexander 4 Tang, Xianhua 4 Tanré, Etienne 4 Teng, Kaimin 4 Yang, Hui 4 Zou, Wenming 3 Chang, Sun-Yung Alice 3 Chen, Guoyuan 3 Chen, Shibing 3 Chen, Wenxiong 3 Chen, Yanhong 3 Choi, Woocheol 3 Cozzi, Matteo 3 Del Pino, Manuel A. 3 Delarue, François 3 Dumont, Grégory 3 Frank, Rupert L. 3 Inglis, James D. 3 Maalaoui, Ali 3 Monticelli, Dario Daniele 3 Musso, Monica 3 Nguyen, Luc 3 Niu, Pengcheng 3 Perthame, Benoît 3 Sáez, Mariel 3 Savin, Ovidiu V. 3 Schneider, Ricarda 3 Tan, Jinggang 3 Wang, Xinjing 3 Wolfram, Marie-Therese 3 Yu, Xiaohui 2 Ambrosio, Vincenzo 2 Barrios Barrera, Begoña 2 Burger, Martin 2 Carrillo de la Plata, José Antonio 2 Chang, Xiaojun 2 Chen, Sitong 2 Chen, Wenjing 2 Ciraolo, Giulio 2 Cui, Xuewei 2 Dai, Wei 2 Dávila, Juan 2 Dou, Jingbo 2 Enciso, Alberto 2 Fall, Mouhamed Moustapha 2 Fazly, Mostafa 2 Felli, Veronica 2 Figueiredo, Giovany Malcher 2 Fontelos López, Marco Antonio 2 Frahm, Jan 2 Franchi, Bruno 2 Garofalo, Nicola 2 Grubb, Gerd 2 Gui, Changfeng 2 Guillen, Nestor 2 Han, Yazhou 2 Henry, Jacques 2 Ledger, Sean 2 Lee, Ki-Ahm 2 Lenzmann, Enno 2 Li, Jun-Gang 2 Lu, Guozhen 2 Luo, Tao 2 Magnanini, Rolando 2 Mastrolia, Paolo 2 Monneau, Régis 2 Niu, Miaomiao 2 Ørsted, Bent 2 Peng, Jiawu 2 Pietschmann, Jan-Frederik 2 Pinamonti, Andrea 2 Pisante, Adriano 2 Qin, Guolin 2 Quaas, Alexander 2 Ren, Qiang ...and 219 more Authors
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#### Cited in 99 Serials

 25 Calculus of Variations and Partial Differential Equations 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Differential Equations 15 Journal of Functional Analysis 10 Advances in Mathematics 7 Communications on Pure and Applied Analysis 6 Archive for Rational Mechanics and Analysis 6 Communications in Partial Differential Equations 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Discrete and Continuous Dynamical Systems 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 The Journal of Geometric Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Boundary Value Problems 4 Complex Variables and Elliptic Equations 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Nonlinearity 3 Transactions of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Communications in Contemporary Mathematics 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Physica D 2 Revista Matemática Iberoamericana 2 The Annals of Applied Probability 2 Stochastic Processes and their Applications 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin des Sciences Mathématiques 2 Fractional Calculus & Applied Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Advances in Nonlinear Analysis 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Electronic Journal of Probability 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical and Applied Finance 1 Acta Mathematica Sinica. English Series 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Multiscale Modeling & Simulation 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis and Applications (Singapore) 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Fixed Point Theory and Applications 1 Mathematical Modelling of Natural Phenomena 1 Kinetic and Related Models 1 Analysis & PDE 1 Advances in Mathematical Physics 1 Probability Surveys 1 Journal of Pseudo-Differential Operators and Applications 1 The Journal of Mathematical Neuroscience 1 Journal of Theoretical Biology 1 Arabian Journal of Mathematics 1 Communications in Mathematics and Statistics 1 Séminaire Laurent Schwartz. EDP et Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Mathematics in Engineering 1 Peking Mathematical Journal 1 SN Partial Differential Equations and Applications
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#### Cited in 33 Fields

 225 Partial differential equations (35-XX) 44 Differential geometry (53-XX) 36 Global analysis, analysis on manifolds (58-XX) 22 Operator theory (47-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 13 Biology and other natural sciences (92-XX) 12 Functional analysis (46-XX) 12 Probability theory and stochastic processes (60-XX) 11 Real functions (26-XX) 11 Mechanics of deformable solids (74-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Integral equations (45-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Systems theory; control (93-XX)