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## Da Lio, Francesca

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 Author ID: da-lio.francesca Published as: Da Lio, F.; Da Lio, Francesca; da Lio, F.; da Lio, Francesca External Links: MGP
 Documents Indexed: 41 Publications since 1997
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#### Co-Authors

 10 single-authored 6 Barles, Guy 5 Bardi, Martino 5 Rivière, Tristan 2 Forcadel, Nicolas 2 Ley, Olivier 2 Martinazzi, Luca 2 Monneau, Régis 2 Palmurella, Francesco 2 Schikorra, Armin 1 Cardaliaguet, Pierre 1 Cutrì, Alessandra 1 Kim, Christina Inwon 1 Lions, Pierre-Louis 1 McEneaney, William M. 1 Montanari, Annamaria 1 Pigati, Alessandro 1 Rodino, Luigi 1 Sirakov, Boyan Slavchev 1 Slepčev, Dejan 1 Souganidis, Panagiotis E.
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#### Serials

 4 Communications in Partial Differential Equations 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Indiana University Mathematics Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Calculus of Variations and Partial Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Analysis & PDE 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Journal of Differential Equations 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Interfaces and Free Boundaries 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Advances in Calculus of Variations
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#### Fields

 36 Partial differential equations (35-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 8 Global analysis, analysis on manifolds (58-XX) 4 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 478 times in 316 Documents Cited by Year
On the strong maximum principle for fully nonlinear degenerate elliptic equations. Zbl 0939.35038
Bardi, Martino; Da Lio, Francesca
1999
Three-term commutator estimates and the regularity of $$^{1}/_{2}$$-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
2011
Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations. Zbl 1176.35068
Da Lio, Francesca; Sirakov, Boyan
2007
Uniqueness results for second-order Bellman-Isaacs equations under quadratic growth assumptions and applications. Zbl 1116.49017
Da Lio, Francesca; Ley, Olivier
2006
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps. Zbl 1219.58004
Da Lio, Francesca; Rivière, Tristan
2011
On the generalized Dirichlet problem for viscous Hamilton–Jacobi equations. Zbl 1056.35071
Barles, Guy; Da Lio, Francesca
2004
Remarks on the strong maximum principle for viscosity solutions to fully nonlinear parabolic equations. Zbl 1065.35084
Da Lio, Francesca
2004
Comparison results for quasilinear equations in annular domains and applications. Zbl 0994.35014
Da Lio, Francesca
2002
On the Bellman equation for some unbounded control problems. Zbl 0894.49017
Bardi, Martino; Da Lio, Francesca
1997
$$n/p$$-harmonic maps: regularity for the sphere case. Zbl 1281.49034
Da Lio, Francesca; Schikorra, Armin
2014
Fractional harmonic maps into manifolds in odd dimension $$n > 1$$. Zbl 1281.58007
Da Lio, Francesca
2013
Convex Hamilton-Jacobi equations under superlinear growth conditions on data. Zbl 1223.35115
Da Lio, Francesca; Ley, Olivier
2011
Blow-up analysis of a nonlocal Liouville-type equation. Zbl 1323.30007
Da Lio, Francesca; Martinazzi, Luca; Rivière, Tristan
2015
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions. Zbl 1173.35013
Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E.
2008
On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions. Zbl 1130.35047
Barles, Guy; Da Lio, Francesca
2005
Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. I: Convex operators. Zbl 1135.35342
Bardi, Martino; Da Lio, Francesca
2001
Large time behavior of solutions to parabolic equations with Neumann boundary conditions. Zbl 1136.35011
Da Lio, Francesca
2008
A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions. Zbl 1046.35059
Barles, Guy; Da Lio, Francesca
2003
On the Bellman equation for infinite horizon problems with unbounded cost functional. Zbl 0952.49023
Da Lio, F.
2000
Compactness and bubble analysis for 1/2-harmonic maps. Zbl 1310.58011
Da Lio, Francesca
2015
Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. II: Concave operators. Zbl 1135.35343
Bardi, Martino; Da Lio, Francesca
2003
Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics. Zbl 1158.35324
Da Lio, Francesca; Forcadel, N.; Monneau, Régis
2008
Local $$C^{0,\alpha }$$ estimates for viscosity solutions of Neumann-type boundary value problems. Zbl 1147.35312
Barles, Guy; Da Lio, Francesca
2006
Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations. Zbl 1125.70013
Cutrì, Alessandra; Da Lio, Francesca
2007
Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations. Zbl 1073.35120
Barles, Guy; Da Lio, Francesca
2003
Nonlocal front propagation problems in bounded domains with Neumann-type boundary conditions and applications. Zbl 1063.35022
Da Lio, Francesca; Kim, Christina Inwon; Slepčev, Dejan
2004
Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012
Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R.
2007
Existence and uniqueness of Lipschitz continuous graphs with prescribed Levi curvature. Zbl 1293.35107
Da Lio, Francesca; Montanari, Annamaria
2006
Remarks on Neumann boundary problems involving Jacobians. Zbl 1387.35163
Da Lio, Francesca; Palmurella, Francesco
2017
On regularity theory for $$n/p$$-harmonic maps into manifolds. Zbl 1374.58006
Da Lio, Francesca; Schikorra, Armin
2017
The nonlocal Liouville-type equation in $$\mathbb {R}$$ and conformal immersions of the disk with boundary singularities. Zbl 1377.35064
Da Lio, Francesca; Martinazzi, Luca
2017
Partial regularity for stationary solutions to Liouville-type equation in dimension 3. Zbl 1162.35026
Da Lio, Francesca
2008
A Pizzetti-type formula for the heat operator. Zbl 1101.35007
Da Lio, Francesca; Rodino, Luigi
2006
A resolution of the Poisson problem for elastic plates. Zbl 1439.49076
Da Lio, Francesca; Palmurella, Francesco; Rivière, Tristan
2020
Finite time-horizon risk-sensitive control and the robust limit under a quadratic growth assumption. Zbl 1039.93068
Da Lio, Francesca; McEneaney, William M.
2002
Fractional harmonic maps. Zbl 1406.58010
Da Lio, Francesca
2018
Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. Zbl 0968.49020
Bardi, Martino; Da Lio, Francesca
2000
A resolution of the Poisson problem for elastic plates. Zbl 1439.49076
Da Lio, Francesca; Palmurella, Francesco; Rivière, Tristan
2020
Fractional harmonic maps. Zbl 1406.58010
Da Lio, Francesca
2018
Remarks on Neumann boundary problems involving Jacobians. Zbl 1387.35163
Da Lio, Francesca; Palmurella, Francesco
2017
On regularity theory for $$n/p$$-harmonic maps into manifolds. Zbl 1374.58006
Da Lio, Francesca; Schikorra, Armin
2017
The nonlocal Liouville-type equation in $$\mathbb {R}$$ and conformal immersions of the disk with boundary singularities. Zbl 1377.35064
Da Lio, Francesca; Martinazzi, Luca
2017
Blow-up analysis of a nonlocal Liouville-type equation. Zbl 1323.30007
Da Lio, Francesca; Martinazzi, Luca; Rivière, Tristan
2015
Compactness and bubble analysis for 1/2-harmonic maps. Zbl 1310.58011
Da Lio, Francesca
2015
$$n/p$$-harmonic maps: regularity for the sphere case. Zbl 1281.49034
Da Lio, Francesca; Schikorra, Armin
2014
Fractional harmonic maps into manifolds in odd dimension $$n > 1$$. Zbl 1281.58007
Da Lio, Francesca
2013
Three-term commutator estimates and the regularity of $$^{1}/_{2}$$-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
2011
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps. Zbl 1219.58004
Da Lio, Francesca; Rivière, Tristan
2011
Convex Hamilton-Jacobi equations under superlinear growth conditions on data. Zbl 1223.35115
Da Lio, Francesca; Ley, Olivier
2011
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions. Zbl 1173.35013
Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E.
2008
Large time behavior of solutions to parabolic equations with Neumann boundary conditions. Zbl 1136.35011
Da Lio, Francesca
2008
Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics. Zbl 1158.35324
Da Lio, Francesca; Forcadel, N.; Monneau, Régis
2008
Partial regularity for stationary solutions to Liouville-type equation in dimension 3. Zbl 1162.35026
Da Lio, Francesca
2008
Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations. Zbl 1176.35068
Da Lio, Francesca; Sirakov, Boyan
2007
Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations. Zbl 1125.70013
Cutrì, Alessandra; Da Lio, Francesca
2007
Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012
Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R.
2007
Uniqueness results for second-order Bellman-Isaacs equations under quadratic growth assumptions and applications. Zbl 1116.49017
Da Lio, Francesca; Ley, Olivier
2006
Local $$C^{0,\alpha }$$ estimates for viscosity solutions of Neumann-type boundary value problems. Zbl 1147.35312
Barles, Guy; Da Lio, Francesca
2006
Existence and uniqueness of Lipschitz continuous graphs with prescribed Levi curvature. Zbl 1293.35107
Da Lio, Francesca; Montanari, Annamaria
2006
A Pizzetti-type formula for the heat operator. Zbl 1101.35007
Da Lio, Francesca; Rodino, Luigi
2006
On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions. Zbl 1130.35047
Barles, Guy; Da Lio, Francesca
2005
On the generalized Dirichlet problem for viscous Hamilton–Jacobi equations. Zbl 1056.35071
Barles, Guy; Da Lio, Francesca
2004
Remarks on the strong maximum principle for viscosity solutions to fully nonlinear parabolic equations. Zbl 1065.35084
Da Lio, Francesca
2004
Nonlocal front propagation problems in bounded domains with Neumann-type boundary conditions and applications. Zbl 1063.35022
Da Lio, Francesca; Kim, Christina Inwon; Slepčev, Dejan
2004
A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions. Zbl 1046.35059
Barles, Guy; Da Lio, Francesca
2003
Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. II: Concave operators. Zbl 1135.35343
Bardi, Martino; Da Lio, Francesca
2003
Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations. Zbl 1073.35120
Barles, Guy; Da Lio, Francesca
2003
Comparison results for quasilinear equations in annular domains and applications. Zbl 0994.35014
Da Lio, Francesca
2002
Finite time-horizon risk-sensitive control and the robust limit under a quadratic growth assumption. Zbl 1039.93068
Da Lio, Francesca; McEneaney, William M.
2002
Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. I: Convex operators. Zbl 1135.35342
Bardi, Martino; Da Lio, Francesca
2001
On the Bellman equation for infinite horizon problems with unbounded cost functional. Zbl 0952.49023
Da Lio, F.
2000
Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. Zbl 0968.49020
Bardi, Martino; Da Lio, Francesca
2000
On the strong maximum principle for fully nonlinear degenerate elliptic equations. Zbl 0939.35038
Bardi, Martino; Da Lio, Francesca
1999
On the Bellman equation for some unbounded control problems. Zbl 0894.49017
Bardi, Martino; Da Lio, Francesca
1997
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#### Cited by 365 Authors

 17 Barles, Guy 17 Da Lio, Francesca 15 Quaas, Alexander 15 Schikorra, Armin 10 Bardi, Martino 9 Cesaroni, Annalisa 8 Felmer, Patricio L. 8 Ley, Olivier 7 Poláčik, Peter 7 Sirakov, Boyan Slavchev 7 Topp, Erwin 7 Vitolo, Antonio 6 Palatucci, Giampiero 6 Porretta, Alessio 6 Sire, Yannick 6 Souplet, Philippe 5 Galise, Giulio 5 Leoni, Fabiana 5 Liu, Qing 5 Marchi, Claudio 5 Martinazzi, Luca 5 Tchou, Nicoletta Anna 4 Capuzzo Dolcetta, Italo 4 Chasseigne, Emmanuel 4 Dehghan Takht Fooladi, Mehdi 4 Ishii, Hitoshi 4 Koike, Shigeaki 4 Kuusi, Tuomo 4 McEneaney, William M. 4 Rivière, Tristan 4 Salehi, Rezvan 3 Abu-Khalaf, Murad 3 Birindelli, Isabeau 3 Charro, Fernando 3 Cutrì, Alessandra 3 Dávila, Gonzalo 3 Fazly, Mostafa 3 Hu, Ying 3 Hyder, Ali 3 Lenzmann, Enno 3 Lewis, Frank Leroy 3 Li, YanYan 3 Mannucci, Paola 3 Millot, Vincent 3 Mitake, Hiroyoshi 3 Mohammed, Ahmed 3 Monneau, Régis 3 Montanari, Annamaria 3 Nguyen, Vinh Duc 3 Nornberg, Gabrielle 3 Richou, Adrien 3 Rossi, Luca 3 Sakaguchi, Shigeru 3 Souganidis, Panagiotis E. 3 Wang, Bo 2 Achdou, Yves 2 Allan, Andrew L. 2 Attouchi, Amal 2 Berlyand, Leonid V. 2 Bhattacharya, Tilak 2 Bonfiglioli, Andrea 2 Caffarelli, Luis Ángel 2 Cardaliaguet, Pierre 2 Chambolle, Antonin 2 Chen, Robin Ming 2 Cheng, Tao 2 Cirant, Marco 2 Cohen, Samuel N. 2 Dai, Limei 2 De Zan, Cecilia 2 DelaTorre, Azahara 2 di Castro, Agnese 2 Esteban, Maria J. 2 Feldman, William M. 2 Feleqi, Ermal 2 Forcadel, Nicolas 2 Georgelin, Christine A. 2 Ghilli, Daria 2 Giga, Yoshikazu 2 Guillen, Nestor 2 Hur, Vera Mikyoung 2 Iacopetti, Alessandro 2 Ignat, Liviu I. 2 Imbert, Cyril 2 Jarohs, Sven 2 Johnson, Mathew A. 2 Kawohl, Bernd 2 Kim, Inwon Christina 2 Korvenpää, Janne 2 Langford, Mat 2 Laurain, Paul 2 Maalaoui, Ali 2 Madec, Pierre-Yves 2 Magnanini, Rolando 2 Malisoff, Michael 2 Mancini, Gabriele 2 Mengesha, Tadele 2 Nguyen, Luc 2 Novaga, Matteo 2 Pacella, Filomena ...and 265 more Authors
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#### Cited in 95 Serials

 25 Journal of Differential Equations 23 Calculus of Variations and Partial Differential Equations 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Communications in Partial Differential Equations 13 Journal of Mathematical Analysis and Applications 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Discrete and Continuous Dynamical Systems 9 Archive for Rational Mechanics and Analysis 8 NoDEA. Nonlinear Differential Equations and Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Journal of Functional Analysis 7 Mathematische Annalen 6 Advances in Mathematics 6 Transactions of the American Mathematical Society 5 SIAM Journal on Control and Optimization 5 Communications in Contemporary Mathematics 5 Advanced Nonlinear Studies 5 Communications on Pure and Applied Analysis 4 Automatica 4 Proceedings of the American Mathematical Society 4 Systems & Control Letters 4 Stochastic Processes and their Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 SIAM Journal on Mathematical Analysis 3 Interfaces and Free Boundaries 3 Journal of the European Mathematical Society (JEMS) 3 Analysis & PDE 2 Applicable Analysis 2 Communications in Mathematical Physics 2 International Journal of Systems Science 2 Applied Mathematics and Optimization 2 Numerische Mathematik 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Abstract and Applied Analysis 2 Advances in Calculus of Variations 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Studies in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Annals of Global Analysis and Geometry 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 MCSS. Mathematics of Control, Signals, and Systems 1 The Annals of Applied Probability 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Continuum Mechanics and Thermodynamics 1 Potential Analysis 1 Complexity 1 Finance and Stochastics 1 European Journal of Control 1 Taiwanese Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematics and Financial Economics 1 Networks and Heterogeneous Media 1 International Journal of Differential Equations 1 MathematicS In Action 1 Science China. Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Dynamic Games and Applications 1 Advances in Nonlinear Analysis 1 Journal of Elliptic and Parabolic Equations
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#### Cited in 31 Fields

 267 Partial differential equations (35-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 35 Systems theory; control (93-XX) 34 Probability theory and stochastic processes (60-XX) 23 Differential geometry (53-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Operator theory (47-XX) 14 Numerical analysis (65-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Integral equations (45-XX) 8 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 7 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Fluid mechanics (76-XX) 3 Potential theory (31-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)