## Battaglia, Luca

Compute Distance To:
 Author ID: battaglia.luca Published as: Battaglia, Luca
 Documents Indexed: 19 Publications since 2013 Co-Authors: 10 Co-Authors with 13 Joint Publications 219 Co-Co-Authors
all top 5

### Co-Authors

 6 single-authored 3 Grossi, Massimo 3 Malchiodi, Andrea 3 Pistoia, Angela 2 Gladiali, Francesca 2 Mancini, Gabriele 2 Van Schaftingen, Jean 1 Jevnikar, Aleks 1 López-Soriano, Rafael 1 Medina, Maria 1 Ruiz, David
all top 5

### Serials

 2 Journal of Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Advanced Nonlinear Studies 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Advances in Nonlinear Analysis

### Fields

 19 Partial differential equations (35-XX) 4 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

### Citations contained in zbMATH Open

17 Publications have been cited 144 times in 89 Documents Cited by Year
A general existence result for the Toda system on compact surfaces. Zbl 1327.35098
Battaglia, Luca; Jevnikar, Aleks; Malchiodi, Andrea; Ruiz, David
2015
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057
Battaglia, Luca; Van Schaftingen, Jean
2017
Existence and non-existence results for the $$SU(3)$$ singular Toda system on compact surfaces. Zbl 1338.35156
Battaglia, Luca; Malchiodi, Andrea
2016
A Moser-Trudinger inequality for the singular Toda system. Zbl 1295.35372
Battaglia, Luca; Malchiodi, Andrea
2014
Existence and multiplicity result for the singular Toda system. Zbl 1309.35020
Battaglia, Luca
2015
A note on compactness properties of the singular Toda system. Zbl 1322.35020
Battaglia, Luca; Mancini, Gabriele
2015
$$B_{2}$$ and $$G_{2}$$ Toda systems on compact surfaces: A variational approach. Zbl 1359.35058
Battaglia, Luca
2017
Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096
Battaglia, Luca; Van Schaftingen, Jean
2018
Remarks on the Moser-Trudinger inequality. Zbl 1290.46025
Battaglia, Luca; Mancini, Gabriele
2013
Moser-Trudinger inequalities for singular Liouville systems. Zbl 1339.35011
Battaglia, Luca
2016
Non-uniqueness of blowing-up solutions to the Gelfand problem. Zbl 1425.35059
Battaglia, Luca; Grossi, Massimo; Pistoia, Angela
2019
Nonradial entire solutions for Liouville systems. Zbl 1378.35106
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2017
A general existence result for stationary solutions to the Keller-Segel system. Zbl 1409.35083
Battaglia, Luca
2019
Uniform bounds for solutions to elliptic problems on simply connected planar domains. Zbl 1429.35099
Battaglia, Luca
2019
A unified approach of blow-up phenomena for two-dimensional singular Liouville systems. Zbl 1420.35093
Battaglia, Luca; Pistoia, Angela
2018
Large conformal metrics with prescribed Gaussian and geodesic curvatures. Zbl 1459.35208
Battaglia, Luca; Medina, María; Pistoia, Angela
2021
Asymptotic behavior of minimal solutions of $$-\Delta u=\lambda f(u)$$ as $$\lambda\to-\infty$$. Zbl 1467.35171
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2021
Large conformal metrics with prescribed Gaussian and geodesic curvatures. Zbl 1459.35208
Battaglia, Luca; Medina, María; Pistoia, Angela
2021
Asymptotic behavior of minimal solutions of $$-\Delta u=\lambda f(u)$$ as $$\lambda\to-\infty$$. Zbl 1467.35171
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2021
Non-uniqueness of blowing-up solutions to the Gelfand problem. Zbl 1425.35059
Battaglia, Luca; Grossi, Massimo; Pistoia, Angela
2019
A general existence result for stationary solutions to the Keller-Segel system. Zbl 1409.35083
Battaglia, Luca
2019
Uniform bounds for solutions to elliptic problems on simply connected planar domains. Zbl 1429.35099
Battaglia, Luca
2019
Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096
Battaglia, Luca; Van Schaftingen, Jean
2018
A unified approach of blow-up phenomena for two-dimensional singular Liouville systems. Zbl 1420.35093
Battaglia, Luca; Pistoia, Angela
2018
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057
Battaglia, Luca; Van Schaftingen, Jean
2017
$$B_{2}$$ and $$G_{2}$$ Toda systems on compact surfaces: A variational approach. Zbl 1359.35058
Battaglia, Luca
2017
Nonradial entire solutions for Liouville systems. Zbl 1378.35106
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2017
Existence and non-existence results for the $$SU(3)$$ singular Toda system on compact surfaces. Zbl 1338.35156
Battaglia, Luca; Malchiodi, Andrea
2016
Moser-Trudinger inequalities for singular Liouville systems. Zbl 1339.35011
Battaglia, Luca
2016
A general existence result for the Toda system on compact surfaces. Zbl 1327.35098
Battaglia, Luca; Jevnikar, Aleks; Malchiodi, Andrea; Ruiz, David
2015
Existence and multiplicity result for the singular Toda system. Zbl 1309.35020
Battaglia, Luca
2015
A note on compactness properties of the singular Toda system. Zbl 1322.35020
Battaglia, Luca; Mancini, Gabriele
2015
A Moser-Trudinger inequality for the singular Toda system. Zbl 1295.35372
Battaglia, Luca; Malchiodi, Andrea
2014
Remarks on the Moser-Trudinger inequality. Zbl 1290.46025
Battaglia, Luca; Mancini, Gabriele
2013
all top 5

### Cited by 101 Authors

 12 Battaglia, Luca 12 Yang, Wen 10 Jevnikar, Aleks 10 Lin, Chang-Shou 6 Malchiodi, Andrea 5 Lee, Youngae 5 Pistoia, Angela 4 Xia, Jiankang 3 Bartolucci, Daniele 3 Luo, Xiaorong 3 Mancini, Gabriele 3 Tarsi, Cristina 3 Wang, Jun 3 Wei, Juncheng 2 Ao, Weiwei 2 Cassani, Daniele 2 D’Aprile, Teresa 2 Figueroa, Pablo 2 Grossi, Massimo 2 Gui, Changfeng 2 Karmakar, Debabrata 2 López-Soriano, Rafael 2 Mao, Anmin 2 Sandeep, Kunnath 2 Sang, Yanbin 2 Tarantello, Gabriella 2 Van Schaftingen, Jean 2 Wang, Zhi-Qiang 2 Wu, Lina 2 Xiao, Lu 2 Zhang, Lei 1 Azzollini, Antonio 1 Bae, Jung-Hyun 1 Bernini, Federico 1 Bieganowski, Bartosz 1 Bucur, Claudia 1 Černý, Robert 1 Chen, Haibo 1 Chen, Peng 1 Chen, Zhijie 1 Cingolani, Silvia 1 de Marchis, Francesca 1 DelaTorre, Azahara 1 Do Ó, João M. Bezerra 1 Esposito, Pierpaolo 1 Fazly, Mostafa 1 Fontana, Luigi 1 Gallo, Marco 1 Geng, Qiuping 1 Gladiali, Francesca 1 Goel, Divya 1 Goyal, Sarika 1 Guo, Jiawei 1 Guo, Qianqiao 1 Gupta, Madhu S. 1 He, Rui 1 Hu, Yeyao 1 Jin, Jiaming 1 Kim, Jaemyoung 1 Kuo, Ting-Jung 1 Lee, Jun Ik 1 Liu, Senli 1 Liu, Xiangqing 1 Liu, Xiaochun 1 Liu, Xiaonan 1 Luo, Peng 1 Ma, Shiwang 1 Maia, Bráulio B. V. 1 Mallick, Arka 1 Martinazzi, Luca 1 Miyagaki, Olimpio Hiroshi 1 Moradifam, Amir 1 Morlando, Fabrizio 1 Moroz, Vitaly 1 Morpurgo, Carlo 1 Nie, Zhaohu 1 Park, Kisoeb 1 Rădulescu, Vicenţiu D. 1 Rani, Anu 1 Romani, Giulio 1 Ruiz, David 1 Sani, Federica 1 Secchi, Simone 1 Sreenadh, Konijeti 1 Sun, Xiaomei 1 Tanaka, Kazunaga 1 Tian, ShuYing 1 Tintarev, Kyril 1 Troestler, Christophe 1 Tyagi, Jagmohan 1 Wang, Liping 1 Wang, Yongqing 1 Wang, Zhian 1 Yang, Yunyan 1 Zhang, Mengjie 1 Zhao, Chunyi 1 Zhao, Tingting 1 Zhou, Xiaodong 1 Zhu, Anqiang 1 Zhu, Maochun ...and 1 more Authors
all top 5

### Cited in 42 Serials

 7 Journal of Differential Equations 7 Journal of Functional Analysis 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Calculus of Variations and Partial Differential Equations 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Communications in Contemporary Mathematics 3 Communications in Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Advanced Nonlinear Studies 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Proceedings of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Topological Methods in Nonlinear Analysis 2 Communications on Pure and Applied Analysis 2 Journal of Fixed Point Theory and Applications 1 Journal d’Analyse Mathématique 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 SIAM Journal on Mathematical Analysis 1 Vietnam Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Bulletin of Mathematical Sciences 1 Communications in Mathematics and Statistics 1 Journal of Function Spaces 1 Bollettino dell’Unione Matematica Italiana
all top 5

### Cited in 15 Fields

 82 Partial differential equations (35-XX) 15 Global analysis, analysis on manifolds (58-XX) 8 Functional analysis (46-XX) 6 Real functions (26-XX) 5 Differential geometry (53-XX) 5 Quantum theory (81-XX) 4 Functions of a complex variable (30-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)