## Topological Methods in Nonlinear Analysis

 Short Title: Topol. Methods Nonlinear Anal. Publisher: Nicolaus Copernicus University, Juliusz P. Schauder Center for Nonlinear Studies, Toruń ISSN: 1230-3429 Online: https://projecteuclid.org/all/euclid.tmnahttp://apcz.umk.pl/czasopisma/index.php/TMNA/indexhttp://apcz.umk.pl/czasopisma/index.php/TMNA/issue/archivehttps://www.tmna.ncu.pl/ Comments: Indexed cover-to-cover
 Documents Indexed: 1,547 Publications (since 1993) References Indexed: 371 Publications with 9,806 References.
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### Authors

 24 Papageorgiou, Nikolaos S. 23 Rybakowski, Krzysztof P. 15 O’Regan, Donal 13 Carbinatto, Maria C. 13 Zajączkowski, Wojciech M. 12 Alves, Claudianor Oliveira 12 Dancer, Edward Norman 12 Górniewicz, Lech 11 Andres, Jan 11 Chabrowski, Jan H. 11 Gonçalves, Daciberg Lima 10 Agarwal, Ravi P. 10 Perera, Kanishka 10 Prizzi, Martino 10 Rădulescu, Vicenţiu D. 9 Do Ó, João M. Bezerra 9 Marzantowicz, Wacław 9 Mawhin, Jean L. 9 Nistri, Paolo 9 Staicu, Vasile 9 Wang, Zhi-Qiang 9 Zanolin, Fabio 9 Żołądek, Henryk 8 Balanov, Zalman I. 8 Frigon, Marlène 8 Kamenskiĭ, Mikhaĭl Igor’evich 8 Micheletti, Anna Maria 8 Saccon, Claudio 8 Väth, Martin 8 Wang, Jinrong 7 Aizicovici, Sergiu 7 Benci, Vieri 7 Fonda, Alessandro 7 Granas, Andrzej 7 Schechter, Martin 7 Zhou, Yong 6 Bartsch, Thomas J. 6 Dekimpe, Karel 6 Figueiredo, Giovany Malcher 6 Furi, Massimo 6 Idzik, Adam 6 Krawcewicz, Wieslaw Z. 6 Liu, Zhenhai 6 Marino, Antonio 6 Nolasco de Carvalho, Alexandre 6 Obukhovskiĭ, Valeriĭ Vladimirovich 6 Pejsachowicz, Jacobo 6 Reich, Simeon 6 Shahzad, Naseer 6 Takahashi, Wataru 6 Willem, Michel 6 Zecca, Pietro 5 Amster, Pablo 5 Barreira, Luis Manuel 5 Benedetti, Irene 5 Benevieri, Pierluigi 5 Ding, Yanheng 5 Dzedzej, Zdzisław 5 Fenille, Marcio Colombo 5 Graff, Grzegorz 5 Ivochkina, Nina Mikhaĭlovna 5 Izydorek, Marek 5 Li, Shujie 5 Llibre, Jaume 5 Miyagaki, Olimpio Hiroshi 5 Motreanu, Dumitru 5 Nieto Roig, Juan Jose 5 Nowakowski, Andrzej F. 5 Ntouyas, Sotiris K. 5 Passaseo, Donato 5 Precup, Radu 5 Rabinowitz, Paul Henry 5 Shivaji, Ratnasingham 5 Smyrlis, George 5 Squassina, Marco 5 Sun, Chunyou 5 Szulkin, Andrzej 5 Szymański, Jerzy 5 Tang, Xianhua 5 Valls Anglés, Cláudia 5 Vignoli, Alfonso 5 Yang, Minbo 5 Zhang, Zhitao 4 Arnol’d, Vladimir Igorevich 4 Bartuzel, Grzegorz 4 Bonotto, Everaldo M. 4 Calamai, Alessandro 4 Candela, Anna Maria 4 Castro, Alfonso 4 Clapp, Mónica 4 Costa, David Goldstein 4 Couchouron, Jean-François 4 Crooks, Elaine C. M. 4 Dai, Guowei 4 de Rezende, Ketty Abaroa 4 Dinca, George 4 Ding, Changming 4 Dlotko, Tomasz W. 4 Fryszkowski, Andrzej 4 Giannoni, Fabio ...and 1,717 more Authors
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### Fields

 667 Partial differential equations (35-XX) 375 Ordinary differential equations (34-XX) 375 Operator theory (47-XX) 270 Dynamical systems and ergodic theory (37-XX) 231 Global analysis, analysis on manifolds (58-XX) 157 General topology (54-XX) 141 Algebraic topology (55-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 61 Functional analysis (46-XX) 61 Manifolds and cell complexes (57-XX) 40 Differential geometry (53-XX) 37 Fluid mechanics (76-XX) 35 Integral equations (45-XX) 33 Real functions (26-XX) 27 Biology and other natural sciences (92-XX) 26 Convex and discrete geometry (52-XX) 25 Measure and integration (28-XX) 22 Numerical analysis (65-XX) 21 Mechanics of particles and systems (70-XX) 19 Mechanics of deformable solids (74-XX) 19 Systems theory; control (93-XX) 17 History and biography (01-XX) 17 Group theory and generalizations (20-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Probability theory and stochastic processes (60-XX) 15 Algebraic geometry (14-XX) 11 Difference and functional equations (39-XX) 11 Quantum theory (81-XX) 10 Abstract harmonic analysis (43-XX) 10 Computer science (68-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Operations research, mathematical programming (90-XX) 8 Topological groups, Lie groups (22-XX) 7 Combinatorics (05-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 4 $$K$$-theory (19-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

1,102 Publications have been cited 8,621 times in 7,290 Documents Cited by Year
An eigenvalue problem for the Schrödinger-Maxwell equations. Zbl 0926.35125
Benci, Vieri; Fortunato, Donato
1998
Stokes waves. Zbl 0897.35067
Toland, J. F.
1996
On the existence of positive solutions of higher order difference equations. Zbl 0914.39005
Wong, P. J. Y.; Agarwal, R. P.
1997
Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030
Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L.
1994
Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory. Zbl 1245.34008
2010
Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations. Zbl 0903.35018
Cingolani, Silvia; Lazzo, Monica
1997
Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type. Zbl 1146.34020
Webb, J. R. L.; Lan, K. Q.
2006
On the existence of sign changing solutions for semilinear Dirichlet problems. Zbl 0903.58004
Bartsch, Thomas; Wang, Zhi-Qiang
1996
Deformation properties for continuous functionals and critical point theory. Zbl 0789.58021
Corvellec, Jean-Noël; Degiovanni, Marco; Marzocchi, Marco
1993
Periodic solutions for functional differential equations with multiple state-dependent time lags. Zbl 0808.34080
Mallet-Paret, John; Nussbaum, Roger D.; Paraskevopulos, Panagiotis
1994
A note on additional properties of sign changing solutions to superlinear elliptic equations. Zbl 1094.35041
Bartsch, Thomas; Weth, Tobias
2003
Nonlinear scalar field equations in $$\mathbb{R}^N$$: Mountain pass and symmetric mountain pass approaches. Zbl 1203.35106
Hirata, Jun; Ikoma, Norihisa; Tanaka, Kazunaga
2010
Hessian measures. I. Zbl 0915.35039
Trudinger, Neil S.; Wang, Xu-Jia
1997
Recent development of the homotopy perturbation method. Zbl 1159.34333
He, Ji-Huan
2008
Fixed points of multivalued mappings in certain convex metric spaces. Zbl 0902.47049
Shimizu, Tomoo; Takahashi, Wataru
1996
A general class of impulsive evolution equations. Zbl 1381.34081
Wang, JinRong; Fečkan, Michal
2015
Best proximity points of cyclic $$\varphi$$-contractions in ordered metric spaces. Zbl 1227.54046
Derafshpour, Majid; Rezapour, Shahram; Shahzad, Naseer
2011
Quasilinear elliptic equations with critical exponents. Zbl 0939.35072
Clément, Philippe; de Figueiredo, Djairo Guedes; Mitidieri, Enzo
1996
Image recovery by convex combinations of sunny nonexpansive retractions. Zbl 0815.47068
Kitahara, Shinya; Takahashi, Wataru
1993
Nontrivial critical groups in $$p$$-Laplacian problems via the Yang index. Zbl 1039.47041
Perera, Kanishka
2003
Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. Zbl 1203.35274
Azzollini, Antonio; Pomponio, Alessio
2010
Sign-changing radial solutions for the Schrödinger-Poisson-Slater problem. Zbl 1330.35128
Ianni, Isabella
2013
The classification of reversible cubic systems with center. Zbl 0820.34016
Żołądek, Henryk
1994
Fixed point theorems and characterizations of metric completeness. Zbl 0902.47050
Suzuki, Tomonari; Takahashi, Wataru
1996
A three critical points theorem and its applications to the ordinary Dirichlet problem. Zbl 1048.58005
Averna, Diego; Bonanno, Gabriele
2003
On fractional Schrödinger equations in $${\mathbb R}^N$$ without the Ambrosetti-Rabinowitz condition. Zbl 1362.35290
Secchi, Simone
2016
A Maslov-type index theory for symplectic paths. Zbl 0977.53075
Long, Yiming
1997
Leray-Schauder degree: A half century of extensions and applications. Zbl 0957.47045
Mawhin, Jean
1999
Existence of multiple positive solutions for a nonlocal boundary value problem. Zbl 1071.34023
Karakostas, George L.; Tsamatos, Panagiotis Ch.
2002
A critical fractional Laplace equation in the resonant case. Zbl 1452.49005
2014
A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation. Zbl 0862.34030
Peletier, L. A.; Troy, W. C.
1995
Infinitely many solutions of superlinear fourth order boundary value problems. Zbl 1017.34015
Rynne, Bryan P.
2002
Forced singular oscillators and the method of lower and upper solutions. Zbl 1108.34033
Bonheure, Denis; De Coster, Colette
2003
On the Schrödinger equation involving a critical Sobolev exponent and magnetic field. Zbl 1176.35022
Chabrowski, Jan; Szulkin, Andrzej
2005
The Conley index and the critical groups via an extension of Gromoll-Meyer theory. Zbl 0898.58006
Chang, K. C.; Ghoussoub, N.
1996
On parabolic quasi-variational inequalities and state-dependent sweeping processes. Zbl 0923.34018
Kunze, M.; Monteiro Marques, M. D. P.
1998
Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball. Zbl 1366.35029
Coelho, Isabel; Corsato, Chiara; Rivetti, Sabrina
2014
Existence and stability of fractional differential equations with Hadamard derivative. Zbl 1382.34012
Wang, Jinrong; Zhou, Yong; Medved’, Milan
2013
Multiplicity of solutions for quasilinear elliptic equations. Zbl 0863.35038
Canino, Annamaria
1995
On abstract differential equations with non-instantaneous impulses. Zbl 1360.34131
Hernández, Eduardo; Pierri, Michelle; O’Regan, Donal
2015
Multiple solitary wave solutions of nonlinear Schrödinger systems. Zbl 1255.35101
Tian, Rushun; Wang, Zhi-Qiang
2011
Trajectory attractors for reaction-diffusion systems. Zbl 0894.35010
Chepyzhov, Vladimir V.; Vishik, Mark I.
1996
Remarks on multiple solutions for asymptotically linear elliptic boundary value problems. Zbl 0812.35031
Chang, Kung Ching; Li, Shujie; Liu, Jiaquan
1994
Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with $$V(\infty)=0$$. Zbl 1105.35112
Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria
2005
Invariant means and fixed point properties for nonexpansive representations of topological semigroups. Zbl 0834.43001
Lau, Anthony To-Ming; Takahashi, Wataru
1995
Fixed point theorems and fixed point index for countably condensing maps. Zbl 0964.47025
Väth, Martin
1999
A nonsymmetric asymptotically linear elliptic problem. Zbl 0844.35035
Marino, A.; Micheletti, A. M.; Pistoia, A.
1994
Isomorphic extensions and applications. Zbl 1362.37026
Downarowicz, Tomasz; Glasner, Eli
2016
Critical superlinear Ambrosetti-Prodi problems. Zbl 0958.35055
de Figueiredo, Djairo G.; Yang, Jianfu
1999
Abstract Cauchy problem for fractional functional differential equations. Zbl 1292.34075
Zhou, Yong; Jiao, Feng; Pečarić, Josip
2013
Reaction-diffusion equations on unbounded thin domains. Zbl 1007.35010
Antoci, Francesca; Prizzi, Martino
2001
Connected sum constructions for constant scalar curvature metrics. Zbl 0866.58069
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1995
Periodic solutions of perturbed Hamiltonian systems in the plane by the use of the Poincaré-Birkhoff theorem. Zbl 1277.34046
Fonda, Alessandro; Sabatini, Marco; Zanolin, Fabio
2012
Asymptotic analysis of the Navier-Stokes equations in thin domains. Zbl 0957.35108
Moise, I.; Temam, R.; Ziane, M.
1997
A deformation lemma with an application to a mean field equation. Zbl 1135.58005
Lucia, Marcello
2007
Sign changing solutions of nonlinear Schrödinger equations. Zbl 0961.35150
Bartsch, Thomas; Wang, Zhi-Qiang
1999
A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds. Zbl 1101.58012
Musso, Monica; Pejsachowicz, Jacobo; Portaluri, Alessandro
2005
On the second deformation lemma. Zbl 0990.58010
Corvellec, Jean-Noël
2001
One-point singular solutions to the Navier-Stokes equations. Zbl 0923.35121
Tian, Gang; Xin, Zhouping
1998
On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035
Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji
1997
Existence of solutions for the discrete coagulation-fragmentation model with diffusion. Zbl 0892.35077
Wrzosek, Dariusz
1997
First Noether-type theorem for the generalized variational principle of Herglotz. Zbl 1032.58007
Georgieva, Bogdana; Guenther, Ronald
2002
On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term. Zbl 1370.35063
Liu, Wenjun; Sun, Yun; Li, Gang
2017
Global structure of positive solutions for superlinear second order $$m$$-point boundary value problems. Zbl 1200.34017
Ma, Ruyun; An, Yulian
2009
Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion. Zbl 0916.35087
Díaz, J. I.; Galiano, G.
1998
Constants of motion for non-differentiable quantum variational problems. Zbl 1188.49023
Cresson, Jacky; Frederico, Gastão S. F.; Torres, Delfim F. M.
2009
Strauss and Lions type results for a class of Orlicz-Sobolev spaces and applications. Zbl 1365.35038
Alves, Claudianor O.; Figueiredo, Giovany M.; Santos, Jefferson A.
2014
Saddle point solutions for non-local elliptic operators. Zbl 1362.49005
Fiscella, Alessio
2014
The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation. Zbl 1362.35325
Zhang, Quan-Guo; Sun, Hong-Rui
2015
Coincidence and fixed point theorems with applications. Zbl 1029.54047
Ansari, Qamrul H.; Idzik, Adam; Yao, Jen-Chih
2000
Fixed point index for iterations of maps, topological horseshoe and chaos. Zbl 0903.58031
Zgliczyński, Piotr
1996
Global existence and blow-up results for an equation of Kirchhoff type on $$\mathbb{R}^N$$. Zbl 0989.35091
Papadopoulos, Perikles G.; Stavrakakis, Nikos M.
2001
The Nirenberg problem in a domain with boundary. Zbl 0870.35036
Li, YanYan
1995
Solutions of superlinear at zero elliptic equations via Morse theory. Zbl 0919.35048
Moroz, Vitaly
1997
Removable singularities for nonlinear elliptic equations. Zbl 0905.35027
Brézis, Haïm; Nirenberg, Louis
1997
Elliptic variational problems with indefinite nonlinearities. Zbl 0895.35036
Chabrowski, J.
1997
Classifying dynamical systems by their recurrence properties. Zbl 1072.37017
Glasner, Eli
2004
Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions. Zbl 0836.35108
Lapidus, Michel L.
1994
On steady non-Newtonian fluids with growth conditions in generalized Orlicz spaces. Zbl 1172.35352
Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka
2008
Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities. Zbl 1075.35014
2004
Nontrivial solutions of fourth-order singular boundary value problems with sign-changing nonlinear terms. Zbl 1272.34030
Zhang, Kemei
2012
Generic domain dependence for non-smooth equations and the open set problem for jumping nonlinearities. Zbl 0817.35026
Dancer, E. N.
1993
On the concept of orientability for Fredholm maps between real Banach manifolds. Zbl 1007.47026
Benevieri, Pierluigi; Furi, Massimo
2000
Remarks on “The classification of reversible cubic systems with center”. Zbl 0901.34036
Żołądek, Henryk
1996
Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivates. Zbl 1163.35312
Ganji, Z. Z.; Ganji, D. D.; Jafari, H.; Rostamian, M.
2008
On extreme values of Nehari manifold method via nonlinear Rayleigh’s quotient. Zbl 1375.35158
Ilyasov, Yavdat
2017
Periodic solutions to singular second-order differential equations: the repulsive case. Zbl 1279.34038
Hakl, Robert; Torres, Pedro J.; Zamora, Manuel
2012
Contractive function systems, their attractors and metrization. Zbl 1360.28007
Banakh, Taras; Kubiś, Wiesław; Novosad, Natalia; Nowak, Magdalena; Strobin, Filip
2015
Existence of solutions for a class of $$p(x)$$-Laplacian equations involving a concave-convex nonlinearity with critical growth in $${\mathbb R}^N$$. Zbl 1371.35131
Alves, Claudianor O.; Ferreira, Marcelo C.
2015
Nirenberg-Gagliardo interpolation inequality and regularity of solutions of nonlinear higher order equations. Zbl 0890.35050
Nicolosi, F.; Skrypnik, I. V.
1996
Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results. Zbl 1368.34018
de Andrade, Bruno; Carvalho, Alexandre N.; Carvalho-Neto, Paulo M.; Marín-Rubio, Pedro
2015
Boundedness in a two-species quasi-linear chemotaxis system with two chemicals. Zbl 1377.35247
Zheng, Jiashan
2017
Radial solutions of semilinear elliptic equations with broken symmetry. Zbl 1135.35339
Candela, Anna M.; Palmieri, Giuliana; Salvatore, Addolorata
2006
Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications. Zbl 1366.45005
2016
Approximate controllability of fractional functional equations with infinite delay. Zbl 1360.93097
Ganesh, Ramakrishnan; Sakthivel, Rathinasamy; Mahmudov, Nazim I.
2014
A topological approach to superlinear indefinite boundary value problems. Zbl 0990.34019
Papini, Duccio; Zanolin, Fabio
2000
Leray-Schauder continuation theorems in the absence of a priori bounds. Zbl 0912.47040
Mawhin, Jean
1997
Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006
Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor
2004
Autonomous dissipative semidynamical systems with impulses. Zbl 1321.37012
Bonotto, Everaldo M.; Demuner, Daniela P.
2013
Some nonlocal elliptic problem involving positive parameter. Zbl 1291.35086
Mao, Anmin; Jing, Runan; Luan, Shixia; Chu, Jinling; Kong, Yan
2013
Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases. Zbl 1491.35215
Kumar, Deepak; Rădulescu, Vicenţiu D.; Sreenadh, Konijeti
2022
The Airy equations with impulsive effect: multi-valued nonlinear perturbations. Zbl 1487.35152
Ma, Zhong-Xin; Wang, Rong-Nian; Yu, Yang-Yang
2022
Kirchhoff type elliptic systems with exponential growth nonlinearities. Zbl 1498.35250
Tian, Xingliang
2022
Fixed point theorem for generic 2-generalized hybrid mappings in Hilbert spaces. Zbl 07585057
Kondo, Atsumasa
2022
Nontrivial solutions for a class of gradient-type quasilinear elliptic systems. Zbl 1498.35246
Candela, Anna Maria; Sportelli, Caterina
2022
Embeddability of joins and products of polyhedra. Zbl 07609699
Melikhov, Sergey A.
2022
Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions. Zbl 1492.34067
Yu, Yang-Yang; Wang, Rong-Nian; Vrabie, Ioan I.
2021
Non-local to local transition for ground states of fractional Schrödinger equations on bounded domains. Zbl 1477.35231
Bieganowski, Bartosz; Secchi, Simone
2021
Equivalent forms of the Brouwer fixed point theorem. II. Zbl 1476.54071
2021
Semiclassical states for critical Choquard equations with critical frequency. Zbl 1479.35405
Gao, Fashun; Zhou, Jiazheng
2021
Ground-state solutions to a Kirchhoff-type transmission problem. Zbl 1479.35394
Li, Fuyi; Zhang, Ying; Zhu, Xiaoli; Liang, Zhanping
2021
Positive solutions for Schrödinger-Poisson-Slater system with coercive potential. Zbl 1479.35342
Jiang, Yongsheng; Wang, Zhengping; Zhou, Huan-Song
2021
Sign-changing solutions for the boundary value problem involving the fractional $$p$$-Laplacian. Zbl 1479.35497
Wu, Pengcheng; Zhou, Yuying
2021
The Borsuk-Ulam property for maps from the product of two surfaces into a surface. Zbl 1491.55002
Gonçalves, Daciberg Lima; dos Santos, Anderson Paião; Silva, Weslem Liberato
2021
On a class of Kirchhoff-Choquard equations involving variable-order fractional $$p(\cdot)$$-Laplacian and without Ambrosetti-Rabinowitz type condition. Zbl 1484.35194
Biswas, Reshmi; Tiwari, Sweta
2021
Separating solutions of nonlinear problems using nonlinear generalized Rayleigh quotients. Zbl 1484.35232
Carvalho, Marcos Leandro; Il&rsquo;yasov, Yavdat; Santos, Carlos Alberto
2021
Finiteness in polygonal billiards on hyperbolic plane. Zbl 1490.37039
2021
Basic results of fractional Orlicz-Sobolev space and applications to non-local problems. Zbl 1448.35242
Bahrouni, Sabri; Ounaies, Hichem; Tavares, Leandro S.
2020
Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms. Zbl 1465.35061
2020
Chevalley groups of types $$B_n$$, $$C_n$$, $$D_n$$ over certain fields do not possess the $$R_{\infty}$$-property. Zbl 07413506
Nasybullov, Timur
2020
Existence of pulses for a reaction-diffusion system of blood coagulation. Zbl 1442.92026
Ratto, Nicolas; Marion, Martine; Volpert, Vitaly A.
2020
Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue. Zbl 1437.47029
Benevieri, Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera, Maria Patrizia
2020
Existence results for a class of semilinear differential variational inequalities with nonlocal boundary conditions. Zbl 1471.49007
Liu, Zhenhai; Lu, Liang; Guo, Xiufneg
2020
Specification properties for non-autonomous discrete systems. Zbl 1455.37018
2020
Double resonance in Sturm-Liouville planar boundary value problems. Zbl 1451.34051
Sfecci, Andrea
2020
How many simplices are needed to triangulate a Grassmannian? Zbl 1483.57030
Govc, Dejan; Marzantowicz, Wacław; Pavešić, Petar
2020
Idempotent measures: absolute retracts and soft maps. Zbl 1475.54008
2020
Semiflow selection and Markov selection theorems. Zbl 1477.34086
Cardona, Jorge E.; Kapitanski, Lev
2020
Generalized limit theorem and bifurcation for problems with Pucci’s operator. Zbl 1465.35044
Dai, Guowei
2020
On critical pseudo-relativistic Hartree equation with potential well. Zbl 1437.35325
Zheng, Yu; Yang, Minbo; Shen, Zifei
2020
Some generalizations of distality. Zbl 1454.37016
Aponte, Jesus; Carrasco-Olivera, Dante; Lee, Keonhee; Morales, Carlos
2020
Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited. Zbl 1448.55002
Chan, Yu Hin; Chen, Shujian; Frick, Florian; Hull, J. Tristan
2020
Multiple periodic solutions for one-sided sublinear systems: a refinement of the Poincaré-Birkhoff approach. Zbl 1472.34076
Dondè, Tobia; Zanolin, Fabio
2020
Addendum and corrigendum to: “On the chaos game of iterated function systems”. Zbl 1448.37021
Barrientos, Pablo G.; Fitzsimmons, Maxwell; Ghane, Fatemeh H.; Malicet, Dominique; Sarizadeh, Aliasghar
2020
Zero temperature limits of equilibrium states for subadditive potentials and approximation of maximal Lyapunov exponent. Zbl 1451.37079
2020
Nielsen number, impulsive differential equations and problem of Jean Leray. Zbl 1480.34037
Andres, Jan
2020
Corrigendum and addendum to: “Non-autonomous quasilinear elliptic equations and Ważewski’s principle”. Zbl 1471.35166
Franca, Matteo
2020
Spectral decomposition and stability of mild expansive systems. Zbl 1468.37011
Le, Huy-Tien; Lee, Keonhee; Nguyen, Ngocthach
2020
Semigroups on time scales and applications to abstract Cauchy problems. Zbl 1469.34119
Henríquez, Hernán R.; Lizama, Carlos; Mesquita, Jaqueline G.
2020
$$L^\infty$$-bounds of solutions for a class of strongly nonlinear elliptic equations in Musielak spaces. Zbl 1466.35154
Bourahma, Mohamed; Benkirane, Abdelmoujib; Bennouna, Jaouad; El Moumni, Mostafa
2020
Function and colorful extensions of the KKM theorem. Zbl 1471.54030
Kulpa, Władysław; Szymański, Andrzej; Turzański, Marian
2020
The sign-changing solutions for a class of nonlocal elliptic problem in an annulus. Zbl 1437.35321
Yan, Baoqiang; An, Chao
2020
Existence of periodic solution for a tumor growth model with vaccine interaction. Zbl 1442.34083
Çelik, Canan; Özarslan, Nigar Tuncer
2020
Asymptotic dynamics of non-autonomous fractional reaction-diffusion equations on bounded domains. Zbl 1439.35067
Li, Xin; Shen, Wenxian; Sun, Chunyou
2020
Hölder behavior of viscosity solutions of some fully nonlinear equations in the Heisenberg group. Zbl 1439.35124
Ferrari, Fausto; Vecchi, Eugenio
2020
Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities. Zbl 1437.35410
Perera, Kanishka; Sim, Inbo
2020
Fractional Hardy-Sobolev elliptic problems. Zbl 1437.35376
Yang, Jianfu; Yu, Jian
2020
Existence and exponential stability of anti-periodic solution for fuzzy BAM neural networks with inertial terms and time-varying delays. Zbl 1452.34079
Li, Yongkun; Qin, Jiali
2020
Existence and stability of standing waves for the Choquard equation with partial confinement. Zbl 1448.35211
Xiao, Lu; Geng, Qiuping; Wang, Jun; Zhu, Maochun
2020
Subharmonic solutions and minimal periodic solutions of first-order variant subquadratic Hamiltonian systems. Zbl 1448.37074
Tang, Shanshan; Zhang, Xiaofei
2020
Spectral numbers and manifolds with boundary. Zbl 07243989
Katić, Jelena; Milinković, Darko; Nikolić, Jovana
2020
Index zero fixed points and 2-complexes with local separating points. Zbl 1486.55002
Gonçalves, Daciberg Lima; Kelly, Michael R.
2020
The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle. Zbl 1479.55002
Gonçalves, Daciberg Lima; Guaschi, John; Laass, Vinicius Casteluber
2020
Fixed point index theory for perturbation of expansive mappings by $$k$$-set contractions. Zbl 1442.37036
Djebali, Smaïl; Mebarki, Karima
2019
A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space. Zbl 1429.35008
Albuquerque, Francisco S. B.; Aouaoui, Sami
2019
Lower and upper bounds for the waists of different spaces. Zbl 1450.28003
Akopyan, Arseniy; Hubard, Alfredo; Karasev, Roman
2019
Multiplicity of positive solutions for fractional Laplacian equations involving critical nonlinearity. Zbl 1418.35165
Zhang, Jinguo; Liu, Xiaochun; Jiao, Hongying
2019
$$L^p$$-pullback attractors for non-autonomous reaction-diffusion equations with delays. Zbl 1425.35106
Zhu, Kaixuan; Xie, Yongqin; Zhou, Feng
2019
Periodic solutions for a singular Liénard equation with indefinite weight. Zbl 1472.34080
Lu, Shiping; Xue, Runyu
2019
A diffusive logistic equation with U-shaped density dependent dispersal on the boundary. Zbl 1418.35113
Goddard, Jerome II; Morris, Quinn; Payne, Catherine; Shivaji, Ratnasingham
2019
Krasnosel’skiĭ-Schaefer type method in the existence problems. Zbl 1502.45006
Vetro, Calogero; Wardowski, Dariusz
2019
Existence of solutions for fractional $$p$$-Kirchhoff type equations with a generalized Choquard nonlinearity. Zbl 1437.35288
Chen, Wenjing
2019
Infinitely many solutions for a class of critical Choquard equation with zero mass. Zbl 1433.35035
Gao, Fashun; Yang, Minbo; Santos, Carlos Alberto; Zhou, Jiazheng
2019
A global multiplicity result for a very singular critical nonlocal equation. Zbl 1425.35211
Giacomoni, Jacques; Mukherjee, Tuhina; Sreenadh, Konijeti
2019
On positive viscosity solutions of fractional Lane-Emden systems. Zbl 1439.35171
Ferreira Leite, Edir Junior; Montenegro, Marcos
2019
About positive $$W_{\mathrm{loc}}^{1,\Phi}(\Omega)$$-solutions to quasilinear elliptic problems with singular semilinear term. Zbl 1433.35123
Santos, Carlos Alberto; Gonçalves, José Valdo; Carvalho, Marcos Leandro
2019
Topological characteristics of solution sets for fractional evolution equations and applications to control systems. Zbl 1429.34084
Zhu, Shouguo; Fan, Zhenbin; Li, Gang
2019
Nonlinear vector Duffing inclusions with no growth restriction on the orientor field. Zbl 1432.34027
Papageorgiou, Nikolaos S.; Vetro, Calogero; Vetro, Francesca
2019
Positive least energy solutions for coupled nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponent. Zbl 1433.35080
You, Song; Wang, Qingxun; Zhao, Peihao
2019
Strong convergence of bi-spatial random attractors for parabolic equations on thin domains with rough noise. Zbl 1429.35032
Li, Fuzhi; Li, Yangrong; Wang, Renhai
2019
Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005
Goodrich, Christopher S.
2019
Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems. Zbl 1414.28021
Strobin, Filip; Maślanka, Łukasz
2019
Quasilinear elliptic problems on non-reflexive Orlicz-Sobolev spaces. Zbl 1437.35361
Silva, Edcarlos D.; Carvalho, Marcos L. M.; Silva, Kaye; Gonçalves, José V.
2019
Effect of external potentials in a coupled system of multi-component incongruent diffusion. Zbl 1442.35187
Ding, Yanheng; Xu, Tian
2019
The effect of topology on the number of positive solutions of elliptic equation involving Hardy-Littlewood-Sobolev critical exponent. Zbl 1441.49008
Goel, Divya
2019
Topology of twists, extremising twist paths and multiple solutions to the nonlinear system in variation $$\mathscr{L}[u] = \nabla \mathscr{P}$$. Zbl 1441.35119
Morrison, George; Taheri, Ali
2019
Equivalence between uniform $$L^{2^\star}(\Omega)$$ a-priori bounds and uniform $$L^{\infty}(\Omega)$$ a-priori bounds for subcritical elliptic equations. Zbl 1415.35064
Castro, Alfonso; Mavinga, Nsoki; Pardo, Rosa
2019
Linearized stability for degenerate and singular semilinear and quasilinear parabolic problems: the linearized singular equation. Zbl 1458.35284
Díaz, Jesús Ildefonso; Hernández, Jesús
2019
The continuity of additive and convex functions which are upper bounded on non-flat continua in $$\mathbb R^n$$. Zbl 1428.26022
Banakh, Taras; Jabłońska, Eliza; Jabłoński, Wojciech
2019
Multiple normalized solutions for Choquard equations involving Kirchhoff type perturbation. Zbl 1433.35098
Liu, Zeng
2019
Decay rates for a viscoelastic wave equation with Balakrishnan-Taylor and frictional dampings. Zbl 1437.35071
Feng, Baowei; Kang, Yong Han
2019
Topologically Anosov plane homeomorphisms. Zbl 1435.37065
Cousillas, Gonzalo; Groisman, Jorge; Xavier, Juliana
2019
Existence of positive solutions for Hardy nonlocal fractional elliptic equations involving critical nonlinearities. Zbl 1425.35223
2019
Global secondary bifurcation, symmetry breaking and period-doubling. Zbl 07130719
Mandel, Rainer
2019
A three solution theorem for a singular differential equation with nonlinear boundary conditions. Zbl 1441.34040
Dhanya, Rajendran; Shivaji, Ratnasingham; Son, Byungjae
2019
Global bifurcation in nonlinear Dirac problems with spectral parameter in the boundary condition. Zbl 1459.34071
Aliyev, Ziyatkhan S.; Manafova, Parvana R.
2019
On the existence of skyrmions in planar liquid crystals. Zbl 1439.82051
Greco, Carlo
2019
On the Lyapunov stability theory for impulsive dynamical systems. Zbl 1415.37017
Bonotto, Everaldo M.; Souto, Ginnara M.
2019
Existence results for evolution equations with superlinear growth. Zbl 1467.34057
Benedetti, Irene; Rocha, Eugenio M.
2019
Exact controllability of infinite dimensional systems with controls of minimal norm. Zbl 1458.93031
Malaguti, Luisa; Perrotta, Stefania; Taddei, Valentina
2019
Topological optimization via cost penalization. Zbl 1458.49036
Murea, Cornel Marius; Tiba, Dan
2019
Asymptotically almost automorphic solutions of dynamic equations on time scales. Zbl 1429.34089
Lizama, Carlos; Mesquita, Jaqueline G.
2019
Classification of radial solutions to Hénon type equation on the hyperbolic space. Zbl 1429.58027
Hasegawa, Shoichi
2019
Removing isolated zeroes by homotopy. Zbl 1436.57040
2019
Nonlocal Schrödinger equations for integro-differential operators with measurable kernels. Zbl 1433.35092
Duarte, Ronaldo C.; Souto, Marco A. S.
2019
Nonautonomous Conley index theory the connecting homomorphism. Zbl 1436.37019
Jänig, Axel
2019
On ground state solutions for the nonlinear Kirchhoff type problems with a general critical nonlinearity. Zbl 1433.35107
Xie, Weihong; Chen, Haibo
2019
Reidemeister spectra for solvmanifolds in low dimensions. Zbl 07130711
Dekimpe, Karel; Tertooy, Sam; van den Bussche, Iris
2019
On finding the ground state solution to the linearly coupled Brezis-Nirenberg system in high dimensions: the cooperative case. Zbl 1433.35078
Wu, Yuanze
2019
On the topological degree of planar maps avoiding normal cones. Zbl 07130721
Fonda, Alessandro; Klun, Giuliano
2019
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### Cited by 6,367 Authors

 87 O’Regan, Donal 79 Agarwal, Ravi P. 63 Papageorgiou, Nikolaos S. 61 Tang, Xianhua 58 Alves, Claudianor Oliveira 54 Wang, Jinrong 46 Tang, Chun-Lei 46 Yin, Zhaoyang 44 Ahmad, Bashir 42 Ma, Ruyun 40 Rădulescu, Vicenţiu D. 39 Wang, Zhi-Qiang 37 Andres, Jan 37 Figueiredo, Giovany Malcher 34 Zhou, Yong 33 Wong, Patricia J. Y. 33 Zanolin, Fabio 31 Perera, Kanishka 30 Su, Jiabao 29 Ambrosio, Vincenzo 28 Chen, Haibo 28 Miyagaki, Olimpio Hiroshi 27 Nieto Roig, Juan Jose 27 Zhang, Zhitao 25 Boscaggin, Alberto 25 Heidarkhani, Shapour 25 Zou, Wenming 23 Candela, Anna Maria 22 Liu, Zhenhai 22 Llibre, Jaume 22 Motreanu, Dumitru 22 Ntouyas, Sotiris K. 22 Pistoia, Angela 22 Squassina, Marco 22 Wei, Juncheng 21 Al-saedi, Ahmed Eid Salem 21 Bartsch, Thomas J. 21 Chen, Sitong 21 Clapp, Mónica 21 Liu, Zhaoli 20 Dancer, Edward Norman 20 Do Ó, João M. Bezerra 20 Goodrich, Christopher S. 20 Infante, Gennaro 20 Krawcewicz, Wieslaw Z. 20 Li, Shujie 20 López-Gómez, Julián 20 Zhang, Jian 19 Mugnai, Dimitri 19 Sun, Mingzheng 19 Wang, Bixiang 19 Yang, Minbo 19 Yıldırım, Ahmet 19 Zeng, Shengda 19 Zhang, Binlin 19 Zhang, Wen 18 Bonotto, Everaldo M. 18 Calamai, Alessandro 18 Fonda, Alessandro 18 Long, Yiming 18 Salvatore, Addolorata 18 Siciliano, Gaetano 18 Wu, Tsungfang 18 Wu, Yonghong 18 Zhang, Jihui 18 Zhao, Leiga 17 Cingolani, Silvia 17 Cui, Yujun 17 Kumam, Poom 17 Mu, Chunlai 17 Pacella, Filomena 17 Schechter, Martin 17 Shahzad, Naseer 17 Torres, Delfim Fernando Marado 17 Zajączkowski, Wojciech M. 17 Zgliczyński, Piotr 16 Chu, Jifeng 16 Fečkan, Michal 16 Feltrin, Guglielmo 16 Frigon, Marlène 16 Furtado, Marcelo Fernandes 16 Karapınar, Erdal 16 Liu, Chungen 16 Liu, Jiaquan 16 Marano, Salvatore Angelo 16 Micheletti, Anna Maria 16 Precup, Radu 16 Walther, Hans-Otto 15 Balanov, Zalman I. 15 Da Silva, Edcarlos Domingos 15 Gonçalves, Daciberg Lima 15 Kong, Lingju 15 Liang, Sihua 15 Liu, Wenjun 15 Portaluri, Alessandro 15 Pucci, Patrizia 15 Rybicki, Sławomir Maciej 15 Sun, Juntao 15 Taheri, Ali 15 Torres, Pedro José ...and 6,267 more Authors
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### Cited in 563 Journals

 544 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 490 Journal of Mathematical Analysis and Applications 475 Journal of Differential Equations 151 Boundary Value Problems 138 Computers & Mathematics with Applications 136 Applied Mathematics and Computation 126 Applied Mathematics Letters 124 Journal of Fixed Point Theory and Applications 120 Topological Methods in Nonlinear Analysis 120 Discrete and Continuous Dynamical Systems 115 Calculus of Variations and Partial Differential Equations 94 Advances in Difference Equations 93 Advanced Nonlinear Studies 89 Fixed Point Theory and Applications 84 Journal of Functional Analysis 82 Communications on Pure and Applied Analysis 78 Journal of Mathematical Physics 76 Abstract and Applied Analysis 76 Nonlinear Analysis. Real World Applications 75 NoDEA. Nonlinear Differential Equations and Applications 69 Proceedings of the American Mathematical Society 66 Applicable Analysis 64 Annali di Matematica Pura ed Applicata. Serie Quarta 63 Communications in Contemporary Mathematics 60 Transactions of the American Mathematical Society 60 Topology and its Applications 59 Mediterranean Journal of Mathematics 58 Discrete and Continuous Dynamical Systems. Series B 57 ZAMP. Zeitschrift für angewandte Mathematik und Physik 57 Complex Variables and Elliptic Equations 56 Journal of Function Spaces 55 Journal of Dynamics and Differential Equations 54 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 47 Advances in Nonlinear Analysis 45 Nonlinear Analysis. Theory, Methods & Applications 41 Journal of Computational and Applied Mathematics 41 Journal of Optimization Theory and Applications 40 Monatshefte für Mathematik 37 Mathematical Methods in the Applied Sciences 37 Discrete and Continuous Dynamical Systems. Series S 36 Archive for Rational Mechanics and Analysis 36 Journal of Mathematical Sciences (New York) 33 Advances in Mathematics 33 Mathematical and Computer Modelling 33 Electronic Journal of Differential Equations (EJDE) 32 Acta Mathematica Sinica. English Series 31 Results in Mathematics 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Chaos, Solitons and Fractals 30 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 29 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 28 Communications in Nonlinear Science and Numerical Simulation 27 Nonlinearity 26 Acta Applicandae Mathematicae 26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 25 Journal of Inequalities and Applications 25 Qualitative Theory of Dynamical Systems 25 Journal of Applied Mathematics and Computing 24 AIMS Mathematics 23 Communications in Mathematical Physics 23 Rocky Mountain Journal of Mathematics 23 The Journal of Geometric Analysis 23 Filomat 23 Discrete Dynamics in Nature and Society 23 Open Mathematics 22 Mathematische Annalen 21 Manuscripta Mathematica 21 Acta Mathematica Scientia. Series B. (English Edition) 20 Zeitschrift für Analysis und ihre Anwendungen 20 Taiwanese Journal of Mathematics 20 Journal of Elliptic and Parabolic Equations 19 Mathematische Zeitschrift 19 Fractional Calculus & Applied Analysis 19 Science China. Mathematics 18 Duke Mathematical Journal 18 Mathematische Nachrichten 18 Communications in Partial Differential Equations 18 Set-Valued and Variational Analysis 17 Applied Mathematics and Optimization 17 Ergodic Theory and Dynamical Systems 17 Journal of Global Optimization 17 Bulletin des Sciences Mathématiques 17 Journal of Nonlinear Mathematical Physics 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Central European Journal of Mathematics 17 Journal of Nonlinear Science and Applications 17 International Journal of Differential Equations 16 Archiv der Mathematik 16 Proceedings of the Edinburgh Mathematical Society. Series II 16 Physica D 16 Journal of Applied Mathematics 16 Journal of Applied Analysis and Computation 15 Asymptotic Analysis 15 SIAM Journal on Mathematical Analysis 15 International Journal of Numerical Methods for Heat & Fluid Flow 15 Journal of Mathematical Fluid Mechanics 14 Rendiconti del Circolo Matemàtico di Palermo. Serie II 14 Nonlinear Analysis. Modelling and Control 14 Journal of Evolution Equations ...and 463 more Journals
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### Cited in 62 Fields

 3,780 Partial differential equations (35-XX) 1,699 Ordinary differential equations (34-XX) 1,335 Operator theory (47-XX) 850 Dynamical systems and ergodic theory (37-XX) 701 Global analysis, analysis on manifolds (58-XX) 457 Calculus of variations and optimal control; optimization (49-XX) 402 General topology (54-XX) 333 Fluid mechanics (76-XX) 231 Difference and functional equations (39-XX) 227 Functional analysis (46-XX) 221 Real functions (26-XX) 213 Numerical analysis (65-XX) 195 Algebraic topology (55-XX) 189 Differential geometry (53-XX) 182 Biology and other natural sciences (92-XX) 152 Integral equations (45-XX) 132 Mechanics of deformable solids (74-XX) 131 Systems theory; control (93-XX) 121 Mechanics of particles and systems (70-XX) 117 Probability theory and stochastic processes (60-XX) 102 Measure and integration (28-XX) 96 Manifolds and cell complexes (57-XX) 92 Quantum theory (81-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 59 Operations research, mathematical programming (90-XX) 50 Statistical mechanics, structure of matter (82-XX) 47 Convex and discrete geometry (52-XX) 46 Optics, electromagnetic theory (78-XX) 43 Group theory and generalizations (20-XX) 41 Several complex variables and analytic spaces (32-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 32 Potential theory (31-XX) 29 Computer science (68-XX) 28 Abstract harmonic analysis (43-XX) 26 Combinatorics (05-XX) 24 Number theory (11-XX) 23 Geophysics (86-XX) 21 Topological groups, Lie groups (22-XX) 21 Approximations and expansions (41-XX) 20 Classical thermodynamics, heat transfer (80-XX) 17 Algebraic geometry (14-XX) 17 Functions of a complex variable (30-XX) 15 Special functions (33-XX) 14 Relativity and gravitational theory (83-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Sequences, series, summability (40-XX) 11 Integral transforms, operational calculus (44-XX) 11 Geometry (51-XX) 10 General and overarching topics; collections (00-XX) 10 Information and communication theory, circuits (94-XX) 9 History and biography (01-XX) 8 Category theory; homological algebra (18-XX) 7 Field theory and polynomials (12-XX) 7 Statistics (62-XX) 6 Commutative algebra (13-XX) 6 $$K$$-theory (19-XX) 5 Mathematical logic and foundations (03-XX) 5 Associative rings and algebras (16-XX) 5 Nonassociative rings and algebras (17-XX) 4 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX)