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## Secchi, Simone

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 Author ID: secchi.simone Published as: Secchi, S.; Secchi, Simone Homepage: https://www.matapp.unimib.it/~secchi External Links: MGP · ORCID · ResearchGate · arXiv
 Documents Indexed: 45 Publications since 2001
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#### Co-Authors

 14 single-authored 11 Cingolani, Silvia 5 Squassina, Marco 3 Pomponio, Alessio 2 Barutello, Vivina L. 2 Bieganowski, Bartosz 2 Clapp, Mónica 2 Noja, Diego 2 Rolando, Sergio 2 Serra, Enrico 1 Ambrosetti, Antonio 1 Barile, Sara 1 Calanchi, Marta 1 Jeanjean, Louis 1 Malchiodi, Andrea 1 Molica Bisci, Giovanni 1 Nguyen Cong Phuc 1 Shioji, Naoki 1 Smets, Didier 1 Stuart, Charles Alexander 1 Terraneo, Elide 1 Willem, Michel 1 Wu, Huoxiong 1 Zheng, Shijun
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#### Serials

 4 Journal of Differential Equations 3 Communications in Contemporary Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Differential and Integral Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Advanced Nonlinear Studies 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Journal of Dynamics and Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Complex Variables and Elliptic Equations 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Symmetry 1 Journal of Function Spaces 1 Minimax Theory and its Applications
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#### Fields

 42 Partial differential equations (35-XX) 9 Quantum theory (81-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

39 Publications have been cited 947 times in 626 Documents Cited by Year
Ground state solutions for nonlinear fractional Schrödinger equations in $$\mathbb{R}^N$$. Zbl 1281.81034
Secchi, Simone
2013
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
2001
Multiple solutions to a magnetic nonlinear Choquard equation. Zbl 1247.35141
Cingolani, Silvia; Clapp, Mónica; Secchi, Simone
2012
Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities. Zbl 1215.35146
Cingolani, Silvia; Secchi, Simone; Squassina, Marco
2010
Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields. Zbl 1014.35087
Cingolani, Silvia; Secchi, Simone
2002
Semiclassical states for NLS equations with magnetic potentials having polynomial growths. Zbl 1110.81081
Cingolani, Silvia; Secchi, Simone
2005
On fractional Schrödinger equations in $${\mathbb R}^N$$ without the Ambrosetti-Rabinowitz condition. Zbl 1362.35290
Secchi, Simone
2016
A note on Schrödinger-Newton systems with decaying electric potential. Zbl 1187.35254
Secchi, Simone
2010
Remarks on a Hardy-Sobolev inequality. Zbl 1035.35020
Secchi, Simone; Smets, Didier; Willem, Michel
2003
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions. Zbl 1221.35393
Cingolani, Silvia; Jeanjean, Louis; Secchi, Simone
2009
Intertwining semiclassical solutions to a Schrödinger-Newton system. Zbl 1260.35198
Cingolani, Silvia; Clapp, Mónica; Secchi, Simone
2013
Ground states for the pseudo-relativistic Hartree equation with external potential. Zbl 1320.35300
Cingolani, Silvia; Secchi, Simone
2015
Semiclassical analysis for pseudo-relativistic Hartree equations. Zbl 1319.35204
Cingolani, Silvia; Secchi, Simone
2015
Soliton dynamics for fractional Schrödinger equations. Zbl 1298.35166
Secchi, Simone; Squassina, Marco
2014
A note on the radial solutions for the supercritical Hénon equation. Zbl 1135.35031
Barutello, Vivina; Secchi, Simone; Serra, Enrico
2008
Single-peaks for a magnetic Schrödinger equation with critical growth. Zbl 1146.35411
Barile, Sara; Cingolani, Silvia; Secchi, Simone
2006
Perturbation results for some nonlinear equations involving fractional operators. Zbl 1273.35254
Secchi, Simone
2013
On the location of spikes for the Schrödinger equation with electromagnetic field. Zbl 1157.35482
Secchi, Simone; Squassina, Marco
2005
Morse index properties of colliding solutions to the $$N$$-body problem. Zbl 1143.70006
Barutello, Vivina; Secchi, Simone
2008
Standing waves for the NLS on the double-bridge graph and a rational-irrational dichotomy. Zbl 1402.35260
Noja, Diego; Rolando, Sergio; Secchi, Simone
2019
Increasing variational solutions for a nonlinear $$p$$-Laplace equation without growth conditions. Zbl 1312.35139
Secchi, Simone
2012
On some nonlinear fractional equations involving the Bessel operator. Zbl 1377.35107
Secchi, Simone
2017
Multiple $$\mathbb {S}^{1}$$-orbits for the Schrödinger-Newton system. Zbl 1299.35281
Cingolani, Silvia; Secchi, Simone
2013
A note on coupled nonlinear Schrödinger systems under the effect of general nonlinearities. Zbl 1190.35077
Pomponio, Alessio; Secchi, Simone
2010
Multiple solutions for a Hénon-like equation on the annulus. Zbl 1158.35347
Calanchi, Marta; Secchi, Simone; Terraneo, Elide
2008
On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results. Zbl 1129.35403
Pomponio, A.; Secchi, S.
2004
Global bifurcation of homoclinic solutions of Hamiltonian systems. Zbl 1042.37046
Secchi, S.; Stuart, C. A.
2003
Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator. Zbl 1365.35033
Secchi, Simone
2017
Symmetry breaking results for problems with exponential growth in the unit disk. Zbl 1197.35108
Secchi, Simone; Serra, Enrico
2006
On the location of concentration points for singularly perturbed elliptic equations. Zbl 1387.35258
Secchi, Simone; Squassina, Marco
2004
The semirelativistic Choquard equation with a local nonlinear term. Zbl 1420.35341
Bieganowski, Bartosz; Secchi, Simone
2019
Coron problem for fractional equations. Zbl 1363.35371
Secchi, Simone; Shioji, Naoki; Squassina, Marco
2015
The Brezis-Nirenberg problem for the Hénon equation: ground state solutions. Zbl 1255.35118
Secchi, Simone
2012
Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature. Zbl 1405.35028
Molica Bisci, Giovanni; Secchi, Simone
2018
Intertwining solutions for magnetic relativistic Hartree type equations. Zbl 1397.35078
Cingolani, Silvia; Secchi, Simone
2018
Existence of solutions for a semirelativistic Hartree equation with unbounded potentials. Zbl 1391.35139
Secchi, Simone
2018
A survey on pseudorelativistic Hartree equation. Zbl 1369.35094
Secchi, Simone
2016
Interior spikes of a singularly perturbed Neumann problem with potentials. Zbl 1122.35335
Pomponio, A.; Secchi, S.
2004
A note on closed geodesics for a class of non-compact Riemannian manifolds. Zbl 0992.53029
Secchi, S.
2001
Standing waves for the NLS on the double-bridge graph and a rational-irrational dichotomy. Zbl 1402.35260
Noja, Diego; Rolando, Sergio; Secchi, Simone
2019
The semirelativistic Choquard equation with a local nonlinear term. Zbl 1420.35341
Bieganowski, Bartosz; Secchi, Simone
2019
Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature. Zbl 1405.35028
Molica Bisci, Giovanni; Secchi, Simone
2018
Intertwining solutions for magnetic relativistic Hartree type equations. Zbl 1397.35078
Cingolani, Silvia; Secchi, Simone
2018
Existence of solutions for a semirelativistic Hartree equation with unbounded potentials. Zbl 1391.35139
Secchi, Simone
2018
On some nonlinear fractional equations involving the Bessel operator. Zbl 1377.35107
Secchi, Simone
2017
Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator. Zbl 1365.35033
Secchi, Simone
2017
On fractional Schrödinger equations in $${\mathbb R}^N$$ without the Ambrosetti-Rabinowitz condition. Zbl 1362.35290
Secchi, Simone
2016
A survey on pseudorelativistic Hartree equation. Zbl 1369.35094
Secchi, Simone
2016
Ground states for the pseudo-relativistic Hartree equation with external potential. Zbl 1320.35300
Cingolani, Silvia; Secchi, Simone
2015
Semiclassical analysis for pseudo-relativistic Hartree equations. Zbl 1319.35204
Cingolani, Silvia; Secchi, Simone
2015
Coron problem for fractional equations. Zbl 1363.35371
Secchi, Simone; Shioji, Naoki; Squassina, Marco
2015
Soliton dynamics for fractional Schrödinger equations. Zbl 1298.35166
Secchi, Simone; Squassina, Marco
2014
Ground state solutions for nonlinear fractional Schrödinger equations in $$\mathbb{R}^N$$. Zbl 1281.81034
Secchi, Simone
2013
Intertwining semiclassical solutions to a Schrödinger-Newton system. Zbl 1260.35198
Cingolani, Silvia; Clapp, Mónica; Secchi, Simone
2013
Perturbation results for some nonlinear equations involving fractional operators. Zbl 1273.35254
Secchi, Simone
2013
Multiple $$\mathbb {S}^{1}$$-orbits for the Schrödinger-Newton system. Zbl 1299.35281
Cingolani, Silvia; Secchi, Simone
2013
Multiple solutions to a magnetic nonlinear Choquard equation. Zbl 1247.35141
Cingolani, Silvia; Clapp, Mónica; Secchi, Simone
2012
Increasing variational solutions for a nonlinear $$p$$-Laplace equation without growth conditions. Zbl 1312.35139
Secchi, Simone
2012
The Brezis-Nirenberg problem for the Hénon equation: ground state solutions. Zbl 1255.35118
Secchi, Simone
2012
Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities. Zbl 1215.35146
Cingolani, Silvia; Secchi, Simone; Squassina, Marco
2010
A note on Schrödinger-Newton systems with decaying electric potential. Zbl 1187.35254
Secchi, Simone
2010
A note on coupled nonlinear Schrödinger systems under the effect of general nonlinearities. Zbl 1190.35077
Pomponio, Alessio; Secchi, Simone
2010
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions. Zbl 1221.35393
Cingolani, Silvia; Jeanjean, Louis; Secchi, Simone
2009
A note on the radial solutions for the supercritical Hénon equation. Zbl 1135.35031
Barutello, Vivina; Secchi, Simone; Serra, Enrico
2008
Morse index properties of colliding solutions to the $$N$$-body problem. Zbl 1143.70006
Barutello, Vivina; Secchi, Simone
2008
Multiple solutions for a Hénon-like equation on the annulus. Zbl 1158.35347
Calanchi, Marta; Secchi, Simone; Terraneo, Elide
2008
Single-peaks for a magnetic Schrödinger equation with critical growth. Zbl 1146.35411
Barile, Sara; Cingolani, Silvia; Secchi, Simone
2006
Symmetry breaking results for problems with exponential growth in the unit disk. Zbl 1197.35108
Secchi, Simone; Serra, Enrico
2006
Semiclassical states for NLS equations with magnetic potentials having polynomial growths. Zbl 1110.81081
Cingolani, Silvia; Secchi, Simone
2005
On the location of spikes for the Schrödinger equation with electromagnetic field. Zbl 1157.35482
Secchi, Simone; Squassina, Marco
2005
On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results. Zbl 1129.35403
Pomponio, A.; Secchi, S.
2004
On the location of concentration points for singularly perturbed elliptic equations. Zbl 1387.35258
Secchi, Simone; Squassina, Marco
2004
Interior spikes of a singularly perturbed Neumann problem with potentials. Zbl 1122.35335
Pomponio, A.; Secchi, S.
2004
Remarks on a Hardy-Sobolev inequality. Zbl 1035.35020
Secchi, Simone; Smets, Didier; Willem, Michel
2003
Global bifurcation of homoclinic solutions of Hamiltonian systems. Zbl 1042.37046
Secchi, S.; Stuart, C. A.
2003
Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields. Zbl 1014.35087
Cingolani, Silvia; Secchi, Simone
2002
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
2001
A note on closed geodesics for a class of non-compact Riemannian manifolds. Zbl 0992.53029
Secchi, S.
2001
all top 5

#### Cited by 599 Authors

 31 Ambrosio, Vincenzo 26 Yang, Minbo 24 Alves, Claudianor Oliveira 21 Secchi, Simone 16 Tang, Xianhua 16 Tang, Zhongwei 16 Van Schaftingen, Jean 15 Squassina, Marco 15 Zhang, Jihui 14 Figueiredo, Giovany Malcher 13 Cingolani, Silvia 13 Liang, Sihua 12 Chen, Sitong 11 Clapp, Mónica 11 Gao, Fashun 11 Liu, Weiming 10 Wei, Juncheng 9 Bonheure, Denis 9 He, Xiaoming 9 Miyagaki, Olimpio Hiroshi 9 Peng, Shuangjie 9 Rădulescu, Vicenţiu D. 9 Teng, Kaimin 9 Zhang, Binlin 9 Zou, Wenming 8 Lü, Dengfeng 8 Wang, Jun 8 Wang, Zhi-Qiang 8 Zhang, Fubao 7 d’Avenia, Pietro 7 Ding, Yanheng 7 Huang, Chengming 7 Isernia, Teresa 7 Xiang, Mingqi 7 Zhang, Hui 6 Byeon, Jaeyoung 6 Cao, Daomin 6 Gao, Zu 6 Guo, Yuxia 6 Jiao, Yujuan 6 Kajikiya, Ryuji 6 Malchiodi, Andrea 6 Moroz, Vitaly 6 Pomponio, Alessio 6 Shang, Xudong 6 Wang, Chunhua 6 Zhang, Jian 5 D’Aprile, Teresa 5 de Souza, Manassés 5 Gan, Lu 5 Ghimenti, Marco G. 5 Jeanjean, Louis 5 Ma, Shiwang 5 Molica Bisci, Giovanni 5 Noris, Benedetta 5 Pucci, Patrizia 5 Serra, Enrico 5 Shen, Zifei 5 Torres Ledesma, César Enrique 5 Xia, Jiankang 5 Xiao, Lu 5 Xu, Jiafa 4 Araújo, Yane Lisley 4 Barutello, Vivina L. 4 Chen, Haibo 4 Chen, Shaowei 4 Colasuonno, Francesca 4 Do Ó, João M. Bezerra 4 Dong, Wei 4 Esfahani, Amin 4 Furtado, Marcelo Fernandes 4 Hu, Xijun 4 Ji, Chao 4 Li, Meng 4 Li, Quanqing 4 Liu, Min 4 Nyamoradi, Nemat 4 Shen, Liejun 4 Shi, Shaoyun 4 Sun, Xiaomei 4 Tentarelli, Lorenzo 4 Terracini, Susanna 4 Wang, Pengde 4 Weth, Tobias 4 Yang, Qiaohua 4 Zhao, Fukun 3 Bartsch, Thomas J. 3 Bieganowski, Bartosz 3 Borrelli, William 3 Bueno, Hamilton P. 3 Carlone, Raffaele 3 Chen, Caisheng 3 Choi, Woocheol 3 Feng, Xiaojing 3 Fu, Shengmao 3 Ge, Bin 3 Guo, Qing 3 Han, Yazhou 3 Hsu, TsingSan 3 Ji, Yanju ...and 499 more Authors
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#### Cited in 124 Serials

 50 Journal of Mathematical Analysis and Applications 45 Journal of Differential Equations 37 Journal of Mathematical Physics 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Calculus of Variations and Partial Differential Equations 20 Communications on Pure and Applied Analysis 17 Computers & Mathematics with Applications 17 Complex Variables and Elliptic Equations 16 Discrete and Continuous Dynamical Systems 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Boundary Value Problems 11 Applicable Analysis 10 Communications in Contemporary Mathematics 10 Advanced Nonlinear Studies 10 Journal of Fixed Point Theory and Applications 10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Mediterranean Journal of Mathematics 9 Advances in Nonlinear Analysis 8 Journal of Functional Analysis 8 Topological Methods in Nonlinear Analysis 8 Nonlinear Analysis. Real World Applications 7 Mathematical Methods in the Applied Sciences 7 Nonlinearity 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Manuscripta Mathematica 7 Communications in Partial Differential Equations 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Science China. Mathematics 6 Archive for Rational Mechanics and Analysis 6 Applied Mathematics Letters 6 Electronic Journal of Differential Equations (EJDE) 6 NoDEA. Nonlinear Differential Equations and Applications 4 Journal of Computational Physics 4 Mathematische Annalen 4 Mathematische Nachrichten 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Journal of Dynamics and Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Milan Journal of Mathematics 4 SN Partial Differential Equations and Applications 3 Communications in Mathematical Physics 3 Advances in Mathematics 3 Applied Mathematics and Computation 3 Collectanea Mathematica 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Revista Matemática Iberoamericana 3 Numerical Algorithms 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Abstract and Applied Analysis 3 Advances in Mathematical Physics 3 Symmetry 3 Journal of Function Spaces 2 Journal d’Analyse Mathématique 2 Rocky Mountain Journal of Mathematics 2 Journal of the Korean Mathematical Society 2 Monatshefte für Mathematik 2 Chinese Annals of Mathematics. Series B 2 Forum Mathematicum 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Potential Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Discrete and Continuous Dynamical Systems. Series B 2 Discrete and Continuous Dynamical Systems. Series S 2 Differential Equations and Applications 2 Open Mathematics 1 Communications on Pure and Applied Mathematics 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annales Polonici Mathematici 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Ricerche di Matematica 1 Acta Applicandae Mathematicae 1 Physica D 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 International Journal of Computer Mathematics 1 Celestial Mechanics and Dynamical Astronomy 1 Selecta Mathematica. New Series 1 Opuscula Mathematica 1 Advances in Differential Equations 1 Complexity 1 Taiwanese Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Regular and Chaotic Dynamics 1 Acta Mathematica Sinica. English Series ...and 24 more Serials
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#### Cited in 32 Fields

 590 Partial differential equations (35-XX) 59 Global analysis, analysis on manifolds (58-XX) 43 Operator theory (47-XX) 43 Quantum theory (81-XX) 25 Real functions (26-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Numerical analysis (65-XX) 16 Integral equations (45-XX) 15 Optics, electromagnetic theory (78-XX) 14 Functional analysis (46-XX) 13 Ordinary differential equations (34-XX) 9 Mechanics of particles and systems (70-XX) 6 Topological groups, Lie groups (22-XX) 5 Differential geometry (53-XX) 5 Biology and other natural sciences (92-XX) 4 Algebraic topology (55-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Potential theory (31-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)