# zbMATH — the first resource for mathematics

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 Documents Indexed: 25 Publications since 2003
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#### Co-Authors

 7 single-authored 8 Gladiali, Francesca 5 Natalini, Roberto 2 Boccabella, Astridh 2 La Chioma, Claudia 2 Piccoli, Benedetto 1 Adamo, Massimiliano 1 Bernaschi, Massimo 1 Brandolini, Barbara 1 Briani, Maya 1 Calzolari, Antonella 1 D’Apice, Ciro 1 Fabbri, Paola 1 Grossi, Massimo 1 Iacovoni, Davide 1 Karlsen, Kenneth Hvistendahl 1 Manzo, Rosanna 1 Marigo, Alessia 1 Natale, Francesco 1 Sbaraglia, Simone 1 Scalera, Stefano 1 Spilotro, Lucia 1 Torti, Barbara 1 Trombetti, Cristina 1 Uboldi, Adamo 1 Valletta, Antonella 1 Vazquez, Juan Luis 1 Vergni, Davide
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#### Serials

 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Differential and Integral Equations 2 Communications on Pure and Applied Analysis 1 International Journal of Control 1 Nonlinearity 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Stochastics and Stochastics Reports 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 International Journal of Theoretical and Applied Finance 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Communications in Applied and Industrial Mathematics
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#### Fields

 19 Partial differential equations (35-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 108 times in 78 Documents Cited by Year
Nonlinear integro-differential evolution problems arising in option pricing: a viscosity solutions approach. Zbl 1052.35083
2003
Singular free boundary problem from image processing. Zbl 1081.35054
Amadori, A. L.; Vázquez, J. L.
2005
Bifurcation and symmetry breaking for the Henon equation. Zbl 1320.35056
2014
Non-linear degenerate integro-partial differential evolution equations related to geometric Lévy processes and applications to backward stochastic differential equations. Zbl 1049.60050
Amadori, Anna Lisa; Karlsen, Kenneth H.; La Chioma, Claudia
2004
Nonradial sign changing solutions to Lane-Emden problem in an annulus. Zbl 1373.35146
2017
Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem. Zbl 1431.35044
2019
The Hénon problem with large exponent in the disc. Zbl 1437.35378
2020
Nodal solutions for Lane-Emden problems in almost-annular domains. Zbl 1449.35236
2018
Quasi-variational inequalities with Dirichlet boundary condition related to exit time problems for impulse control. Zbl 1101.93079
2004
Uniqueness and comparison properties of the viscosity solution to some singular HJB equations. Zbl 1193.49028
2007
Entropy solutions to a strongly degenerate anisotropic convection–diffusion equation with application to utility theory. Zbl 1026.35054
2003
Optimal strategies for the issuances of public debt securities. Zbl 1090.91036
Adamo, Massimiliano; Amadori, Anna Lisa; Bernaschi, Massimo; la Chioma, Claudia; Marigo, Alessia; Piccoli, Benedetto; Sbaraglia, Simone; Uboldi, Adamo; Vergni, Davide; Fabbri, Paola; Iacovoni, Davide; Natale, Francesco; Scalera, Stefano; Spilotro, Lucia; Valletta, Antonella
2004
Obstacle problem for nonlinear integro-differential equations arising in option pricing. Zbl 1139.49026
2007
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s. Zbl 1454.35186
2020
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s. II. Zbl 1441.35112
2020
Rare mutations in evolutionary dynamics. Zbl 1350.92033
Amadori, Anna Lisa; Calzolari, Antonella; Natalini, Roberto; Torti, Barbara
2015
A nonradial bifurcation result with applications to supercritical problems. Zbl 1343.35112
2016
A hyperbolic model of spatial evolutionary game theory. Zbl 1418.37128
Amadori, Anna Lisa; Boccabella, Astridh; Natalini, Roberto
2012
Global bifurcation for the Hénon problem. Zbl 1460.35166
2020
The Hénon problem with large exponent in the disc. Zbl 1437.35378
2020
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s. Zbl 1454.35186
2020
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s. II. Zbl 1441.35112
2020
Global bifurcation for the Hénon problem. Zbl 1460.35166
2020
Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem. Zbl 1431.35044
2019
Nodal solutions for Lane-Emden problems in almost-annular domains. Zbl 1449.35236
2018
Nonradial sign changing solutions to Lane-Emden problem in an annulus. Zbl 1373.35146
2017
A nonradial bifurcation result with applications to supercritical problems. Zbl 1343.35112
2016
Rare mutations in evolutionary dynamics. Zbl 1350.92033
Amadori, Anna Lisa; Calzolari, Antonella; Natalini, Roberto; Torti, Barbara
2015
Bifurcation and symmetry breaking for the Henon equation. Zbl 1320.35056
2014
A hyperbolic model of spatial evolutionary game theory. Zbl 1418.37128
Amadori, Anna Lisa; Boccabella, Astridh; Natalini, Roberto
2012
Uniqueness and comparison properties of the viscosity solution to some singular HJB equations. Zbl 1193.49028
2007
Obstacle problem for nonlinear integro-differential equations arising in option pricing. Zbl 1139.49026
2007
Singular free boundary problem from image processing. Zbl 1081.35054
Amadori, A. L.; Vázquez, J. L.
2005
Non-linear degenerate integro-partial differential evolution equations related to geometric Lévy processes and applications to backward stochastic differential equations. Zbl 1049.60050
Amadori, Anna Lisa; Karlsen, Kenneth H.; La Chioma, Claudia
2004
Quasi-variational inequalities with Dirichlet boundary condition related to exit time problems for impulse control. Zbl 1101.93079
2004
Optimal strategies for the issuances of public debt securities. Zbl 1090.91036
Adamo, Massimiliano; Amadori, Anna Lisa; Bernaschi, Massimo; la Chioma, Claudia; Marigo, Alessia; Piccoli, Benedetto; Sbaraglia, Simone; Uboldi, Adamo; Vergni, Davide; Fabbri, Paola; Iacovoni, Davide; Natale, Francesco; Scalera, Stefano; Spilotro, Lucia; Valletta, Antonella
2004
Nonlinear integro-differential evolution problems arising in option pricing: a viscosity solutions approach. Zbl 1052.35083
2003
Entropy solutions to a strongly degenerate anisotropic convection–diffusion equation with application to utility theory. Zbl 1026.35054
2003
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#### Cited by 134 Authors

 11 Gladiali, Francesca 10 Amadori, Anna Lisa 5 Jakobsen, Espen Robstad 4 Jangveladze, Temur A. 4 Karlsen, Kenneth Hvistendahl 4 Kiguradze, Zurab V. 4 Lin, Zhigui 3 Biswas, Imran H. 3 Forsyth, Peter A. 3 Natalini, Roberto 2 Bai, Yuzhen 2 Briani, Maya 2 Degtyarev, Sergeĭ Petrovich 2 E, Weinan 2 Jentzen, Arnulf 2 La Chioma, Claudia 2 Ling, Zhi 2 Neta, Beny 2 Reisinger, Christoph 1 Aduén, Hugo 1 Alonso, Pedro 1 Alvarez, Olivier 1 Asai, Taisei 1 Beck, Christian 1 Bélanger, A. C. 1 Belomestny, Denis 1 Benth, Fred Espen 1 Bonheure, Denis 1 Buckdahn, Rainer 1 Calzolari, Antonella 1 Camacho, Eduardo Fernández 1 Castéras, Jean-baptiste 1 Chen, Zhuliang 1 Cheng, Chengcheng 1 Chowdhury, Indranil 1 Consiglio, Andrea 1 Costantini, Cristina 1 Delitala, Marcello 1 Di, Lan 1 Díaz, Irene 1 Dimitriu, Gabriel 1 D’Ippoliti, Fernanda 1 Dong, Xu 1 Düring, Bertram 1 Fadina, Tolulope 1 Fiandaca, Giada 1 Figueroa, Pablo 1 Focardi, Matteo 1 Gan, Xiaoting 1 Grossi, Massimo 1 Groth, Martin 1 Guo, Xiaofei 1 Han, Jianda 1 Herrón, Sigifredo 1 Hoch, Philippe 1 Hutzenthaler, Martin 1 Iagar, Razvan Gabriel 1 Ianni, Isabella 1 Imbert, Cyril 1 Janeček, Karel 1 Jin, Zhen 1 Jüngel, Ansgar 1 Jurio, Aranzazu 1 Kajikiya, Ryuji 1 Kampen, Jörg 1 Kim, Kwang Ik 1 Kruse, Thomas 1 Kübler, Joel 1 Kuznetsov, Ivan V. 1 Labahn, George 1 Le Bouar, Yann 1 Leite da Silva, Wendel 1 Li, Hua 1 Li, Qiaoyu 1 Li, Xin 1 Li, Zheng 1 Liang, Jianxiu 1 Liu, Lili 1 Lorenzi, Tommaso 1 Ma, Jin 1 Merz, Wilhelm 1 Monneau, Régis 1 Montes, Susana 1 Moreira dos Santos, Ederson 1 Neufeld, Ariel David 1 Neves, Sérgio L. N. 1 Nyström, Kaj 1 Oishi, Shin’ichi 1 Papi, Marco 1 Picarelli, Athena 1 Quirós, Pelayo 1 Rainer, Catherine 1 Ridao, Miguel A. 1 Rybka, Piotr 1 Sánchez, Ariel 1 Sazhenkov, Sergey Alexandrovich 1 Schoenmakers, John G. M. 1 Sim, Inbo 1 Sîrbu, Mihai 1 Staino, Alessandro ...and 34 more Authors
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#### Cited in 52 Serials

 8 Journal of Mathematical Analysis and Applications 6 Journal of Differential Equations 3 Numerische Mathematik 3 Calculus of Variations and Partial Differential Equations 3 Nonlinear Analysis. Real World Applications 2 Computers & Mathematics with Applications 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Automatica 1 Calcolo 1 Journal of Functional Analysis 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Journal of Scientific Computing 1 Annals of Operations Research 1 The Annals of Applied Probability 1 Applications of Mathematics 1 European Journal of Operational Research 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Potential Analysis 1 Applied Mathematical Finance 1 Discrete and Continuous Dynamical Systems 1 Finance and Stochastics 1 European Journal of Control 1 Abstract and Applied Analysis 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Journal of Hyperbolic Differential Equations 1 Mathematical Biosciences and Engineering 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Boundary Value Problems 1 Kinetic and Related Models 1 SIAM Journal on Financial Mathematics 1 East Asian Journal on Applied Mathematics 1 Transactions of A. Razmadze Mathematical Institute 1 Probability, Uncertainty and Quantitative Risk
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#### Cited in 19 Fields

 50 Partial differential equations (35-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Numerical analysis (65-XX) 15 Integral equations (45-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 12 Probability theory and stochastic processes (60-XX) 8 Biology and other natural sciences (92-XX) 6 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)