## Cassani, Daniele

Compute Distance To:
 Author ID: cassani.daniele Published as: Cassani, Daniele; Cassani, D. External Links: MGP · ORCID
 Documents Indexed: 37 Publications since 2004 Co-Authors: 25 Co-Authors with 34 Joint Publications 780 Co-Co-Authors
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### Co-Authors

 3 single-authored 15 Tarsi, Cristina 9 Zhang, Jianjun 7 Ruf, Bernhard 4 Tarsia, Antonio 3 Do Ó, João M. Bezerra 3 Wang, Youjun 2 Fattorusso, Luisa 2 Vilasi, Luca 1 Alves, Claudianor Oliveira 1 Bai, Zhengjian 1 Berchio, Elvise 1 Bucur, Claudia 1 Donatelli, Marco 1 Gazzola, Filippo 1 Ghoussoub, Nassif A. 1 Kaltenbacher, Barbara 1 Liu, Zhisu 1 Lorenzi, Alfredo 1 Moameni, Abbas 1 Sani, Federica 1 Schiera, Delia 1 Serra-Capizzano, Stefano 1 Tavares, Hugo 1 Van Schaftingen, Jean 1 Yang, Minbo
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### Serials

 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Differential Equations 3 Advances in Nonlinear Analysis 2 Journal of Functional Analysis 2 Calculus of Variations and Partial Differential Equations 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series S 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Manuscripta Mathematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Matemática Contemporânea 1 Communications in Contemporary Mathematics 1 Milan Journal of Mathematics 1 Rendiconti. Classe di Scienze Matematiche e Naturali
all top 5

### Fields

 34 Partial differential equations (35-XX) 12 Functional analysis (46-XX) 6 Real functions (26-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 394 times in 303 Documents Cited by Year
Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in $$\mathbb R^2$$. Zbl 1347.35096
Alves, Claudianor O.; Cassani, Daniele; Tarsi, Cristina; Yang, Minbo
2016
Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell’s equations. Zbl 1057.35041
Cassani, Daniele
2004
Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth. Zbl 1418.35168
Cassani, Daniele; Zhang, Jianjun
2019
Equivalent Moser type inequalities in $$\mathbb{R}^2$$ and the zero mass case. Zbl 1314.46039
Cassani, D.; Sani, F.; Tarsi, C.
2014
On a fourth order elliptic problem with a singular nonlinearity. Zbl 1181.35114
Cassani, Daniele; Marcos do Ó, João; Ghoussoub, Nassif
2009
Hardy-Rellich inequalities with boundary remainder terms and applications. Zbl 1187.35045
Berchio, Elvise; Cassani, Daniele; Gazzola, Filippo
2010
Existence and concentration of solitary waves for a class of quasilinear Schrödinger equations. Zbl 1189.35060
Cassani, Daniele; do Ó, João Marcos; Moameni, Abbas
2010
A Moser-type inequality in Lorentz-Sobolev spaces for unbounded domains in $$\mathbb R^{N}$$. Zbl 1184.46034
Cassani, Daniele; Tarsi, Cristina
2009
Optimal Sobolev type inequalities in Lorentz spaces. Zbl 1288.46025
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2013
Best constants in a borderline case of second-order Moser type inequalities. Zbl 1194.46048
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2010
Direct and inverse problems related to MEMS. Zbl 1180.35550
Cassani, Daniele; Kaltenbacher, Barbara; Lorenzi, Alfredo
2009
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329
Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun
2020
Multiplicity of sign-changing solutions for Kirchhoff-type equations. Zbl 1421.35098
Cassani, Daniele; Liu, Zhisu; Tarsi, Cristina; Zhang, Jianjun
2019
Existence of solitary waves for supercritical Schrödinger systems in dimension two. Zbl 1327.35099
Cassani, D.; Tarsi, C.
2015
Best constants for Moser type inequalities in Zygmund spaces. Zbl 1196.46023
Cassani, D.; Ruf, B.; Tarsi, C.
2009
Group invariance and Pohozaev identity in Moser-type inequalities. Zbl 1271.46030
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2013
Global existence for nonlocal MEMS. Zbl 1220.35035
Cassani, Daniele; Fattorusso, Luisa; Tarsia, Antonio
2011
Nonlocal dynamic problems with singular nonlinearities and applications to MEMS. Zbl 1320.35231
Cassani, D.; Fattorusso, L.; Tarsia, A.
2014
Equivalent and attained version of Hardy’s inequality in $$\mathbb{R}^n$$. Zbl 1405.26016
Cassani, D.; Ruf, B.; Tarsi, C.
2018
Periodic solutions to nonlocal MEMS equations. Zbl 1346.35007
Cassani, Daniele; Tarsia, Antonio
2016
A fast alternating minimization algorithm for total variation deblurring without boundary artifacts. Zbl 1308.94010
Bai, Zheng-Jian; Cassani, Daniele; Donatelli, Marco; Serra-Capizzano, Stefano
2014
Lorentz-Sobolev spaces and systems of Schrödinger equations in $$\mathbb R^N$$. Zbl 1165.35010
Cassani, Daniele
2009
A priori estimates and positivity for semiclassical ground states for systems of critical Schrödinger equations in dimension two. Zbl 1395.35012
Cassani, Daniele; Zhang, Jianjun
2017
A unified approach to singularly perturbed quasilinear Schrödinger equations. Zbl 1465.35028
Cassani, Daniele; Wang, Youjun; Zhang, Jianjun
2020
Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality. Zbl 1473.35287
Cassani, Daniele; Tarsi, Cristina
2021
Bounds for best constants in subcritical Sobolev embeddings. Zbl 1423.35010
Cassani, Daniele; Tarsi, Cristina; Zhang, Jianjun
2019
Multi-bump solutions for singularly perturbed Schrödinger equations in $$\mathbb{R}^2$$ with general nonlinearities. Zbl 1370.35030
Cassani, Daniele; do Ó., João Marcos; Zhang, Jianjun
2017
Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two. Zbl 1447.35146
Cassani, Daniele; Tavares, Hugo; Zhang, Jianjun
2020
Remarks on a ‘Serrin curve’ for systems of differential inequalities. Zbl 1203.35097
Cassani, Daniele
2008
On the capacity approach to non-attainability of Hardy’s inequality in $$\mathbb{R}^N$$. Zbl 1476.35014
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2019
A Moser type inequality in Zygmund spaces without boundary conditions. Zbl 1300.46029
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2013
Local versus nonlocal elliptic equations: short-long range field interactions. Zbl 1467.35333
Cassani, Daniele; Vilasi, Luca; Wang, Youjun
2021
Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality. Zbl 1473.35287
Cassani, Daniele; Tarsi, Cristina
2021
Local versus nonlocal elliptic equations: short-long range field interactions. Zbl 1467.35333
Cassani, Daniele; Vilasi, Luca; Wang, Youjun
2021
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329
Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun
2020
A unified approach to singularly perturbed quasilinear Schrödinger equations. Zbl 1465.35028
Cassani, Daniele; Wang, Youjun; Zhang, Jianjun
2020
Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two. Zbl 1447.35146
Cassani, Daniele; Tavares, Hugo; Zhang, Jianjun
2020
Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth. Zbl 1418.35168
Cassani, Daniele; Zhang, Jianjun
2019
Multiplicity of sign-changing solutions for Kirchhoff-type equations. Zbl 1421.35098
Cassani, Daniele; Liu, Zhisu; Tarsi, Cristina; Zhang, Jianjun
2019
Bounds for best constants in subcritical Sobolev embeddings. Zbl 1423.35010
Cassani, Daniele; Tarsi, Cristina; Zhang, Jianjun
2019
On the capacity approach to non-attainability of Hardy’s inequality in $$\mathbb{R}^N$$. Zbl 1476.35014
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2019
Equivalent and attained version of Hardy’s inequality in $$\mathbb{R}^n$$. Zbl 1405.26016
Cassani, D.; Ruf, B.; Tarsi, C.
2018
A priori estimates and positivity for semiclassical ground states for systems of critical Schrödinger equations in dimension two. Zbl 1395.35012
Cassani, Daniele; Zhang, Jianjun
2017
Multi-bump solutions for singularly perturbed Schrödinger equations in $$\mathbb{R}^2$$ with general nonlinearities. Zbl 1370.35030
Cassani, Daniele; do Ó., João Marcos; Zhang, Jianjun
2017
Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in $$\mathbb R^2$$. Zbl 1347.35096
Alves, Claudianor O.; Cassani, Daniele; Tarsi, Cristina; Yang, Minbo
2016
Periodic solutions to nonlocal MEMS equations. Zbl 1346.35007
Cassani, Daniele; Tarsia, Antonio
2016
Existence of solitary waves for supercritical Schrödinger systems in dimension two. Zbl 1327.35099
Cassani, D.; Tarsi, C.
2015
Equivalent Moser type inequalities in $$\mathbb{R}^2$$ and the zero mass case. Zbl 1314.46039
Cassani, D.; Sani, F.; Tarsi, C.
2014
Nonlocal dynamic problems with singular nonlinearities and applications to MEMS. Zbl 1320.35231
Cassani, D.; Fattorusso, L.; Tarsia, A.
2014
A fast alternating minimization algorithm for total variation deblurring without boundary artifacts. Zbl 1308.94010
Bai, Zheng-Jian; Cassani, Daniele; Donatelli, Marco; Serra-Capizzano, Stefano
2014
Optimal Sobolev type inequalities in Lorentz spaces. Zbl 1288.46025
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2013
Group invariance and Pohozaev identity in Moser-type inequalities. Zbl 1271.46030
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2013
A Moser type inequality in Zygmund spaces without boundary conditions. Zbl 1300.46029
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2013
Global existence for nonlocal MEMS. Zbl 1220.35035
Cassani, Daniele; Fattorusso, Luisa; Tarsia, Antonio
2011
Hardy-Rellich inequalities with boundary remainder terms and applications. Zbl 1187.35045
Berchio, Elvise; Cassani, Daniele; Gazzola, Filippo
2010
Existence and concentration of solitary waves for a class of quasilinear Schrödinger equations. Zbl 1189.35060
Cassani, Daniele; do Ó, João Marcos; Moameni, Abbas
2010
Best constants in a borderline case of second-order Moser type inequalities. Zbl 1194.46048
Cassani, Daniele; Ruf, Bernhard; Tarsi, Cristina
2010
On a fourth order elliptic problem with a singular nonlinearity. Zbl 1181.35114
Cassani, Daniele; Marcos do Ó, João; Ghoussoub, Nassif
2009
A Moser-type inequality in Lorentz-Sobolev spaces for unbounded domains in $$\mathbb R^{N}$$. Zbl 1184.46034
Cassani, Daniele; Tarsi, Cristina
2009
Direct and inverse problems related to MEMS. Zbl 1180.35550
Cassani, Daniele; Kaltenbacher, Barbara; Lorenzi, Alfredo
2009
Best constants for Moser type inequalities in Zygmund spaces. Zbl 1196.46023
Cassani, D.; Ruf, B.; Tarsi, C.
2009
Lorentz-Sobolev spaces and systems of Schrödinger equations in $$\mathbb R^N$$. Zbl 1165.35010
Cassani, Daniele
2009
Remarks on a ‘Serrin curve’ for systems of differential inequalities. Zbl 1203.35097
Cassani, Daniele
2008
Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell’s equations. Zbl 1057.35041
Cassani, Daniele
2004
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### Cited by 342 Authors

 20 Yang, Minbo 19 Cassani, Daniele 17 Tang, Xianhua 13 Gao, Fashun 13 Zhang, Jianjun 12 Tarsi, Cristina 11 Chen, Sitong 8 Lam, Nguyen 7 Do Ó, João M. Bezerra 6 Benci, Vieri 6 Rădulescu, Vicenţiu D. 6 Ruf, Bernhard 6 Sani, Federica 5 Alves, Claudianor Oliveira 5 Di Barba, Paolo 5 Fortunato, Donato 5 Gazzola, Filippo 5 Ghimenti, Marco G. 5 Micheletti, Anna Maria 5 Nguyen Tuan Duy 5 Qin, Dongdong 5 Sano, Megumi 5 Sreenadh, Konijeti 5 Versaci, Mario 5 Wang, Dabin 4 Berchio, Elvise 4 Chen, Shangjie 4 Cowan, Craig 4 Fattorusso, Luisa 4 Giacomoni, Jacques 4 Li, Guidong 4 Liu, Zhisu 4 Miyagaki, Olimpio Hiroshi 4 Mukherjee, Tuhina 4 Shen, Zifei 4 Tang, Chun-Lei 4 Tang, Chunlei 4 Zhang, Hui 4 Zhang, Jinlong 4 Zhou, Jiazheng 3 Aouaoui, Sami 3 Avkhadiev, Farit Gabidinovich 3 Donatelli, Marco 3 Ferrero, Alberto 3 Fontana, Luigi 3 Ioku, Norisuke 3 Ishiwata, Michinori 3 Jlel, Rahma 3 Leuyacc, Yony Raul Santaria 3 Li, Yong-Yong 3 Morpurgo, Carlo 3 Nguyễn Văn Hoàng 3 Phi, Le Long 3 Pucci, Patrizia 3 Sang, Yanbin 3 Soares, Sérgio H. Monari 3 Takahashi, Futoshi 3 Tarsia, Antonio 3 Wadade, Hidemitsu 3 Wang, Lixia 3 Wen, Lixi 3 Zhang, Binlin 3 Zhang, Fubao 3 Zhang, Jian 2 Arora, Rakesh 2 Azzollini, Antonio 2 Che, Guofeng 2 Chen, Haibo 2 Chen, Wenjing 2 Da Silva, Edcarlos Domingos 2 d’Avenia, Pietro 2 Dávila, Juan 2 Dell’Acqua, Pietro 2 Fang, Xiangdong 2 Flores, Isabel 2 Germano, Geilson F. 2 Ghergu, Marius 2 Ghoussoub, Nassif A. 2 Gloss, Elisandra 2 Goel, Divya 2 Guerra, Ignacio A. 2 Hara, Takanobu 2 He, Xiaoming 2 Lai, Baishun 2 Laurençot, Philippe 2 Li, Lin 2 Liu, Senli 2 Liu, Xiaoqi 2 Lu, Guozhen 2 Mao, Anmin 2 Martinazzi, Luca 2 da Silva Montenegro, Marcelo 2 Morabito, Francesco Carlo 2 Pisani, Lorenzo 2 Ruviaro, Ricardo 2 Schiera, Delia 2 Siciliano, Gaetano 2 Song, Yueqiang 2 Tang, Hanli 2 Tavares, Hugo ...and 242 more Authors
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### Cited in 89 Serials

 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Mathematical Analysis and Applications 21 Journal of Differential Equations 12 Calculus of Variations and Partial Differential Equations 10 Advances in Nonlinear Analysis 8 Journal of Mathematical Physics 8 Discrete and Continuous Dynamical Systems 8 Communications on Pure and Applied Analysis 7 Applied Mathematics Letters 7 Communications in Contemporary Mathematics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Functional Analysis 6 Potential Analysis 6 Advanced Nonlinear Studies 6 Milan Journal of Mathematics 4 Mathematische Annalen 4 The Journal of Geometric Analysis 4 Topological Methods in Nonlinear Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Computational and Applied Mathematics 4 Complex Variables and Elliptic Equations 3 Computers & Mathematics with Applications 3 Manuscripta Mathematica 3 Acta Applicandae Mathematicae 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Mediterranean Journal of Mathematics 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 2 Communications in Mathematical Physics 2 Canadian Mathematical Bulletin 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Mathematical Inequalities & Applications 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Science China. Mathematics 2 Communications in Applied and Industrial Mathematics 2 Open Mathematics 2 AIMS Mathematics 1 Analysis Mathematica 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the Korean Mathematical Society 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Bulletin of the American Mathematical Society. New Series 1 SIAM Journal on Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Opuscula Mathematica 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Journal of the Australian Mathematical Society 1 Advances in Difference Equations 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Kinetic and Related Models 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Journal of Function Spaces 1 SN Partial Differential Equations and Applications
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### Cited in 27 Fields

 265 Partial differential equations (35-XX) 52 Functional analysis (46-XX) 36 Real functions (26-XX) 17 Quantum theory (81-XX) 14 Global analysis, analysis on manifolds (58-XX) 11 Operator theory (47-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Ordinary differential equations (34-XX) 8 Optics, electromagnetic theory (78-XX) 7 Numerical analysis (65-XX) 6 Mechanics of deformable solids (74-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Information and communication theory, circuits (94-XX) 4 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)