# zbMATH — the first resource for mathematics

## Proceedings of the Royal Society of Edinburgh. Section A. Mathematics

 Short Title: Proc. R. Soc. Edinb., Sect. A, Math. Publisher: Cambridge University Press, Cambridge; RSE Scotland Foundation, Edinburgh ISSN: 0308-2105; 1473-7124/e Online: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/all-issueshttp://www.ingentaconnect.com/content/rse/proca Predecessor: Proceedings of the Royal Society of Edinburgh Comments: Indexed cover-to-cover; Section designation Vol. 61 (1941) - Vol. 71 (1974): Mathematical and Physical Sciences
 Documents Indexed: 3,629 Publications (since 1941) References Indexed: 2,141 Publications with 31,204 References.
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#### Authors

 26 Zettl, Anton 24 Binding, Paul Anthony 21 Everitt, William Norrie 18 Browne, Patrick J. 16 Eastham, Michael S. P. 16 McLeod, John Bryce 15 Harris, Bernard J. 15 Sleeman, Brian D. 13 Atkinson, Frederick Valentine 13 Edge, William Leonard 13 Galaktionov, Victor Aleksandrovich 13 Howie, John Mackintosh 13 Kwong, Man Kam 12 Evans, William Desmond 12 Fonseca, Irene 11 Shivaji, Ratnasingham 10 Copson, Edward Thomas 10 Laurençot, Philippe 10 Munn, Walter Douglas 10 Peletier, Lambertus Adrianus 10 Rutherford, Daniel Edwin 9 Aitken, Alexander Craig 9 Faierman, Melvin 9 Guo, Zongming 9 Jones, Douglas Samuel 9 Lawley, Derrick Norman 9 Llibre, Jaume 9 Schultze, Bernd 9 Smith, Russell A. 9 Stuart, Charles Alexander 9 van den Berg, Michiel 9 Wright, Edward Maitland 8 Cantrell, Robert Stephen 8 Colton, David Lem 8 Dancer, Edward Norman 8 Elduque, Alberto 8 Hinton, Don Barker 8 Race, David 8 Robertson, Edmund Frederick 8 Wang, Mingxin 8 Wei, Juncheng 8 Zhu, Changjiang 7 Alzer, Horst 7 Brown, Kenneth J. 7 Bruce, James William 7 Cao, Daomin 7 Casado-Díaz, Juan 7 Cheng, Qingming 7 Cosner, Chris 7 Feireisl, Eduard 7 Hale, Jack Kenneth 7 Izumiya, Shyuichi 7 Kono, Akira 7 Korman, Philip L. 7 Langer, Heinz 7 LeFloch, Philippe Gerard 7 Magnus, Robert J. 7 Norbury, John W. 7 Ortega Salvador, Pedro 7 Payne, Lawrence Edward 7 Prince, Alan R. 7 Troy, William C. 6 Alikakos, Nicholas D. 6 Avrin, Joel D. 6 Budd, Christopher John 6 Crabb, Michael C. 6 Dacorogna, Bernard 6 de Snoo, Hendrik S. V. 6 Del Pino, Manuel A. 6 Du, Yihong 6 Duncan, John 6 Dunster, T. M. 6 Elias, Uri 6 Elliott, Charles M. 6 Giblin, Peter J. 6 Goodman, Timothy N. T. 6 Hsu, TsingSan 6 Kaper, Hans G. 6 Kreith, Kurt 6 Langley, James K. 6 Möller, Manfred 6 Pavešić, Petar 6 Pego, Robert L. 6 Rădulescu, Vicenţiu D. 6 Read, Thomas T. 6 Roach, Gary F. 6 Rodríguez-Bernal, Aníbal 6 Rooney, P. G. 6 Rossi, Julio Daniel 6 Rynne, Bryan P. 6 Sauer, Niko 6 Schaefer, Philip W. 6 Tari, Farid 6 Volkmer, Hans 6 Webb, Jeffrey Ronald Leslie 6 Wu, Tsungfang 6 Yan, Shusen 5 Adimurthi, A. 5 Andersen, Kenneth F. 5 Arscott, F. M. ...and 3,512 more Authors
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#### Fields

 1,450 Partial differential equations (35-XX) 645 Ordinary differential equations (34-XX) 439 Operator theory (47-XX) 225 Calculus of variations and optimal control; optimization (49-XX) 218 Functional analysis (46-XX) 199 Fluid mechanics (76-XX) 184 Group theory and generalizations (20-XX) 171 Mechanics of deformable solids (74-XX) 146 Dynamical systems and ergodic theory (37-XX) 137 Global analysis, analysis on manifolds (58-XX) 125 Real functions (26-XX) 117 Differential geometry (53-XX) 92 Biology and other natural sciences (92-XX) 71 Associative rings and algebras (16-XX) 71 Functions of a complex variable (30-XX) 71 Integral equations (45-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 63 Number theory (11-XX) 61 Manifolds and cell complexes (57-XX) 60 Algebraic topology (55-XX) 59 Statistical mechanics, structure of matter (82-XX) 55 Numerical analysis (65-XX) 50 Probability theory and stochastic processes (60-XX) 43 Special functions (33-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 40 Quantum theory (81-XX) 38 Algebraic geometry (14-XX) 37 Combinatorics (05-XX) 36 Approximations and expansions (41-XX) 33 Measure and integration (28-XX) 33 Optics, electromagnetic theory (78-XX) 31 Several complex variables and analytic spaces (32-XX) 29 Integral transforms, operational calculus (44-XX) 29 Classical thermodynamics, heat transfer (80-XX) 29 Systems theory; control (93-XX) 27 Potential theory (31-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 24 Nonassociative rings and algebras (17-XX) 24 Category theory; homological algebra (18-XX) 24 Mechanics of particles and systems (70-XX) 23 Difference and functional equations (39-XX) 21 Commutative algebra (13-XX) 18 General algebraic systems (08-XX) 18 Abstract harmonic analysis (43-XX) 16 Convex and discrete geometry (52-XX) 15 Geometry (51-XX) 10 Topological groups, Lie groups (22-XX) 10 General topology (54-XX) 7 Relativity and gravitational theory (83-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 5 Mathematical logic and foundations (03-XX) 5 Operations research, mathematical programming (90-XX) 4 Field theory and polynomials (12-XX) 4 $$K$$-theory (19-XX) 4 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 2 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

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2,904 Publications have been cited 28,571 times in 22,970 Documents Cited by Year
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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian. Zbl 1290.35308
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Solitary waves for nonlinear Klein-Gordon-Maxwell and Schrödinger-Maxwell equations. Zbl 1064.35182
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A concave-convex elliptic problem involving the fractional Laplacian. Zbl 1290.35304
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Homoclinic orbits for a class of Hamiltonian systems. Zbl 0705.34054
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$$H$$-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations. Zbl 0774.35008
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Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions. Zbl 0376.34008
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Local minimisers and singular perturbations. Zbl 0676.49011
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Approximate controllability of the semilinear heat equation. Zbl 0818.93032
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Positive solutions for the $$p$$-Laplacian: Application of the fibrering method. Zbl 0880.35045
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On the Dirichlet problem for weakly non-linear elliptic partial differential equations. Zbl 0351.35037
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Global invertibility of Sobolev functions and the interpenetration of matter. Zbl 0478.46032
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Existence and non-existence results for semilinear elliptic problems in unbounded domains. Zbl 0506.35035
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On the spectrum of two different fractional operators. Zbl 1304.35752
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Renormalised solutions of nonlinear parabolic problems with $$L^1$$ data: Existence and uniqueness. Zbl 0895.35050
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Attractors of partial differential evolution equations in an unbounded domain. Zbl 0721.35029
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The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001
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Density-dependent indecompressible viscous fluids in critical spaces. Zbl 1050.76013
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On a non-local equation arising in population dynamics. Zbl 1133.35056
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2007
Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011
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Qualitative analysis of a ratio-dependent predator-prey system with diffusion. Zbl 1059.92056
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Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications. Zbl 0653.35066
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1987
Multiscale convergence and reiterated homogenisation. Zbl 0866.35017
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1996
On the existence of weak solutions for quasilinear parabolic initial- boundary value problems. Zbl 0493.35054
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1981
Existence and uniqueness of travelling waves for a neural network. Zbl 0797.35072
Ermentrout, G. Bard; McLeod, J. Bryce
1993
On a singular nonlinear semilinear elliptic problem. Zbl 0919.35044
Shi, Junping; Yao, Miaoxin
1998
Diffusive logistic equations with indefinite weights: Population models in disrupted environments. Zbl 0711.92020
Cantrell, Robert Stephen; Cosner, Chris
1989
Bifurcation of steady-state solutions in predator-prey and competition systems. Zbl 0554.92012
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1984
On the topological properties of symplectic maps. Zbl 0713.58004
Hofer, H.
1990
On a class of elliptic problems in $$\mathbb{R}^2$$: Symmetry and uniqueness results. Zbl 1009.35018
Prajapat, J.; Tarantello, G.
2001
Asymptotic stability of travelling waves for Nicholson’s blowflies equation with diffusion. Zbl 1059.34019
Mei, Ming; So, Joseph W.-H.; Li, Michael Y.; Shen, Samuel S. P.
2004
Rank-one convexity does not imply quasiconvexity. Zbl 0777.49015
1992
The equation $$u_{tt}-\Delta u=| u| ^ p$$ for the critical value of p. Zbl 0592.35080
Schaeffer, Jack
1985
Periodic solutions of higher-dimensional discrete systems. Zbl 1073.39010
Zhou, Zhan; Yu, Jianshe; Guo, Zhiming
2004
Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015
Bona, J. L.; Schonbek, M. E.
1985
Nonlinear analytic semiflows. Zbl 0723.34047
Angenent, Sigurd B.
1990
Local existence and blow-up criterion for the Boussinesq equations. Zbl 0882.35096
Chae, Dongho; Nam, Hee-Seok
1997
The validity of modulation equations for extended systems with cubic nonlinearities. Zbl 0786.35122
Kirrmann, Pius; Schneider, Guido; Mielke, Alexander
1992
Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities. Zbl 1215.35146
Cingolani, Silvia; Secchi, Simone; Squassina, Marco
2010
Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion. Zbl 0564.73079
Lurie, K. A.; Cherkaev, A. V.
1984
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
2004
Orthogonal polynomials satisfying fourth order differential equations. Zbl 0453.33006
Krall, Allan M.
1981
A uniqueness proof for the Wulff theorem. Zbl 0752.49019
Fonseca, Irene; Müller, Stefan
1991
Water waves for small surface tension: An approach via normal form. Zbl 0767.76004
Iooss, Gérard; Kirchgässner, Klaus
1992
Invariant algebraic curves and conditions for a centre. Zbl 0821.34023
Christopher, C. J.
1994
Non-autonomous equations related to polynomial two-dimensional systems. Zbl 0618.34026
Alwash, M. A. M.; Lloyd, N. G.
1987
Permanence in ecological systems with spatial heterogeneity. Zbl 0796.92026
Cantrell, Robert Stephen; Cosner, Chris; Hutson, Vivian
1993
The gradient theory of phase transitions for systems with two potential wells. Zbl 0676.49005
Fonseca, Irene; Tartar, Luc
1989
On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086
Schonbek, Maria E.; Wiegner, Michael
1996
Characterizing homomorphisms, derivations and multipliers in rings with idempotents. Zbl 1130.16018
Brešar, Matej
2007
Amenability of inverse semigroups and their semigroup algebras. Zbl 0393.22004
Duncan, J.; Namioka, I.
1978
Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation. Zbl 0980.35028
Du, Yihong; Lou, Yuan
2001
Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions. Zbl 1167.34004
Webb, J. R. L.; Infante, Gennaro; Franco, Daniel
2008
Advection-mediated coexistence of competing species. Zbl 1139.35048
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan
2007
Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems. Zbl 1088.37005
Efendiev, M.; Zelik, S.; Miranville, A.
2005
Nevanlinna theory for the $$q$$-difference operator and meromorphic solutions of $$q$$-difference equations. Zbl 1137.30009
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2007
Using Melnikov’s method to solve Silnikov’s problems. Zbl 0714.34070
Lin, Xiao-Biao
1990
A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029
Amann, Herbert; Hess, Peter
1979
Regularity of an elliptic problem with a singular nonlinearity. Zbl 0805.35032
Gui, Changfeng; Lin, Fang Hua
1993
Rank one property for derivatives of functions with bounded variation. Zbl 0791.26008
Alberti, Giovanni
1993
Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029
Chipot, Michel; Evans, Lawrence C.
1986
The second dual of a Banach algebra. Zbl 0427.46028
Duncan, J.; Hosseiniun, S. A. R.
1979
A new approach to analyticity of Dirichlet-Neumann operators. Zbl 1016.35030
Nicholls, David P.; Reitich, Fernando
2001
$$T$$-periodic solutions for some second order differential equations with singularities. Zbl 0761.34031
del Pino, Manuel A.; Manásevich, Raúl; Montero, Alberto
1992
Blow-up for quasilinear heat equations with critical Fujita’s exponents. Zbl 0808.35053
Galaktionov, Victor A.
1994
New additive results for the $$g$$-Drazin inverse. Zbl 1088.15006
Castro González, N.; Koliha, J. J.
2004
Dynamics of a non-autonomous ratio-dependent predator-prey system. Zbl 1032.34044
Fan, Meng; Wang, Qian; Zou, Xingfu
2003
Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities. Zbl 0824.35128
Galaktionov, Victor A.
1995
Multiple positive solutions of nonhomogeneous semilinear elliptic equations in $$\mathbb{R}^ N$$. Zbl 0846.35042
Cao, Daomin; Zhou, Huansong
1996
On a conjecture related to the number of solutions of a nonlinear Dirichlet problem. Zbl 0533.35037
Lazer, A. C.; McKenna, P. J.
1983
Positive steady states of the Holling-Tanner prey-predator model with diffusion. Zbl 1144.35409
Peng, Rui; Wang, Mingxin
2005
Periodic solutions of planar systems with two delays. Zbl 0946.34062
Ruan, Shigui; Wei, Junjie
1999
Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large. Zbl 0799.35081
Guo, Zongming; Webb, J. R. L.
1994
The number of limit cycles of certain polynomial differential equations. Zbl 0603.34020
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1984
Regular semigroups with a multiplicative inverse transversal. Zbl 0507.20026
1982
Non-negative solutions for a class of non-positone problems. Zbl 0659.34018
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1988
Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Zbl 0855.34022
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1996
Positive solutions for singular nonlinear elliptic equations. Zbl 1180.35231
Hernández, Jesús; Mancebo, Francisco J.; Vega, José M.
2007
Idempotent-connected abundant semigroups. Zbl 0501.20043
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1981
A criterion for the existence of solutions of non-linear elliptic boundary value problems. Zbl 0331.35028
Deuel, Johanna; Hess, Peter
1976
Travelling wave solutions for an infection-age structured model with diffusion. Zbl 1178.35117
Ducrot, A.; Magal, P.
2009
Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities. Zbl 1086.35053
Tang, Moxun
2003
Global existence for the magnetohydrodynamic system in critical spaces. Zbl 1148.35066
2008
Stability of strong travelling waves for a non-local time-delayed reaction-diffusion equation. Zbl 1148.35093
Mei, Ming; So, Joseph W.-H.
2008
Idempotent rank in finite full transformation semigroups. Zbl 0704.20050
Howie, John M.; McFadden, Robert B.
1990
The critical exponents of parabolic equations and blow-up in $$R^n$$. Zbl 0892.35088
Qi, Yuan-wei
1998
Existence of minimizers for a finite-strain micromorphic elastic solid. Zbl 1106.74010
Neff, Patrizio
2006
Some applications of Hausdorff dimension inequalities for ordinary differential equations. Zbl 0622.34040
Smith, Russell A.
1986
On square-integrable solutions of symmetric systems of differential equations of arbitrary order. Zbl 0333.34021
Kogan, V. I.; Rofe-Beketov, F. S.
1976
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
2014
On regular solutions of a nonlinear equation of Choquard’s type. Zbl 0449.35034
Perla Menzala, Gustavo
1980
A variational inequality approach to Hele-Shaw flow with a moving boundary. Zbl 0455.76043
Elliott, C. M.; Janovsky, V.
1981
Instability of a class of dispersive solitary waves. Zbl 0713.35108
Souganidis, P. E.; Strauss, W. A.
1990
On the boundary value problems of electro- and magnetostatics. Zbl 0516.35023
Picard, Rainer
1982
Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors. Zbl 1119.35310
Li, Hailiang; Markowich, Peter; Mei, Ming
2002
Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions. Zbl 0458.34013
Fulton, Charles T.
1980
Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations. Zbl 1218.35038
Li, Fucai; Yu, Hongjun
2011
Sturmian comparison theorem for half-linear second-order differential equations. Zbl 0873.34020
Li, Horng Jaan; Yeh, Cheh Chih
1995
A relationship between the periodic and the Dirichlet BVPs of singular differential equations. Zbl 0918.34025
Zhang, Meirong
1998
First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof. Zbl 0888.35011
Moskow, Shari; Vogelius, Michael
1997
Existence results for the Kudryashov-Sinelshchikov-Olver equation. Zbl 1462.35144
Coclite, Giuseppe Maria; Di Ruvo, Lorenzo
2021
Dehn filling Dehn twists. Zbl 07316388
Dahmani, François; Hagen, Mark; Sisto, Alessandro
2021
Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy. Zbl 1459.35154
De Filippis, Cristiana
2021
On supercritical problems involving the Laplace operator. Zbl 1459.35211
Clemente, Rodrigo; do Ó, João Marcos; Ubilla, Pedro
2021
Shadowing for infinite dimensional dynamics and exponential trichotomies. Zbl 07358999
Backes, Lucas; Dragičević, Davor
2021
Quasilinear elliptic inequalities with Hardy potential and nonlocal terms. Zbl 07359007
Ghergu, Marius; Karageorgis, Paschalis; Singh, Gurpreet
2021
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities. Zbl 07374099
Bellettini, Giovanni; Chambolle, Antonin; Kholmatov, Shokhrukh
2021
Some congruences involving fourth powers of central $$q$$-binomial coefficients. Zbl 07193427
Guo, Victor J. W.; Wang, Su-Dan
2020
Existence of solutions for critical Choquard equations via the concentration-compactness method. Zbl 1437.35213
Gao, Fashun; Da Silva, Edcarlos D.; Yang, Minbo; Zhou, Jiazheng
2020
Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces. Zbl 1439.35366
Cao, Dat; Hoang, Luan
2020
A $$p(x)$$-Laplacian extension of the Díaz-Saa inequality and some applications. Zbl 1436.35210
Takáč, Peter; Giacomoni, Jacques
2020
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329
Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun
2020
Division algebras of slice functions. Zbl 1455.30040
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
2020
The quasi-Assouad dimension of stochastically self-similar sets. Zbl 1437.28014
Troscheit, Sascha
2020
A priori bounds and multiplicity of positive solutions for $$p$$-Laplacian Neumann problems with sub-critical growth. Zbl 1436.35204
Boscaggin, Alberto; Colasuonno, Francesca; Noris, Benedetta
2020
Nonlocal problems in perforated domains. Zbl 1444.35019
Pereira, Marcone C.; Rossi, Julio D.
2020
On two cohomological Hall algebras. Zbl 1446.14036
Yang, Yaping; Zhao, Gufang
2020
Hyers-Ulam stability for equations with differences and differential equations with time-dependent and periodic coefficients. Zbl 07316330
Buşe, Constantin; Lupulescu, Vasile; O&rsquo;Regan, Donal
2020
Distributions as initial values in a triangular hyperbolic system of conservation laws. Zbl 07316358
Sarrico, C. O. R.; Paiva, A.
2020
Circulation and energy theorem preserving stochastic fluids. Zbl 1464.76023
Drivas, Theodore D.; Holm, Darryl D.
2020
Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with $$\mathcal{PT}$$-symmetry. Zbl 07189632
Dohnal, Tomáš; Pelinovsky, Dmitry
2020
On higher differentiability of solutions of parabolic systems with discontinuous coefficients and $$(p,q)$$-growth. Zbl 1450.35094
Giannetti, Flavia; Passarelli Di Napoli, Antonia; Scheven, Christoph
2020
Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions. Zbl 1436.35059
Barrios, Begoña; Medina, Maria
2020
Coarse fundamental groups and box spaces. Zbl 07193428
Delabie, Thiebout; Khukhro, Ana
2020
Dual ground state solutions for the critical nonlinear Helmholtz equation. Zbl 1444.35036
Evéquoz, Gilles; Yeşil, Tolga
2020
Analytic and geometric properties of dislocation singularities. Zbl 1443.58003
Scala, Riccardo; Van Goethem, Nicolas
2020
A pointwise characterisation of the PDE system of vectorial calculus of variations in $$L^\infty$$. Zbl 1444.35058
Ayanbayev, Birzhan; Katzourakis, Nikos
2020
An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds. Zbl 1457.46043
Berchio, Elvise; Ganguly, Debdip; Grillo, Gabriele; Pinchover, Yehuda
2020
Positive solutions of semilinear elliptic problems with a Hardy potential. Zbl 1458.35178
Bandle, Catherine; Pozio, Maria Assunta
2020
Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel. Zbl 07220507
Barik, Prasanta Kumar; Giri, Ankik Kumar; Laurençot, Philippe
2020
Fatou components and singularities of meromorphic functions. Zbl 1442.30027
Barański, Krzysztof; Fagella, Núria; Jarque, Xavier; Karpińska, Bogusława
2020
Multiplicity and concentration results for a fractional Schrödinger-Poisson type equation with magnetic field. Zbl 1437.35689
Ambrosio, Vincenzo
2020
A new test for asphericity and diagrammatic reducibility of group presentations. Zbl 1442.57008
Barmak, Jonathan Ariel; Minian, Elias Gabriel
2020
On the generalized Hardy-Rellich inequalities. Zbl 1435.35013
Anoop, T. V.; Das, Ujjal; Sarkar, Abhishek
2020
On a second numerical index for Banach spaces. Zbl 1447.46011
Kim, Sun Kwang; Lee, Han Ju; Martín, Miguel; Merí, Javier
2020
Induction for locally compact quantum groups revisited. Zbl 1446.46050
2020
Local existence of strong solutions and weak-strong uniqueness for the compressible Navier-Stokes system on moving domains. Zbl 1460.35259
Kreml, Ondřej; Nečasová, Šárka; Piasecki, Tomasz
2020
Profinite groups with restricted centralizers of commutators. Zbl 07316334
Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel
2020
Fullness of crossed products of factors by discrete groups. Zbl 07316337
Marrakchi, Amine
2020
Unimodality of independence polynomials of rooted products of graphs. Zbl 1459.05251
Zhu, Bao-Xuan; Wang, Qingxiu
2020
Existence of multiple periodic solutions to a semilinear wave equation with $$x$$-dependent coefficients. Zbl 1459.35291
Wei, Hui; Ji, Shuguan
2020
Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity. Zbl 1462.74024
Martin, Robert J.; Voss, Jendrik; Neff, Patrizio; Ghiba, Ionel-Dumitrel
2020
Abelian categories arising from cluster tilting subcategories. II: Quotient functors. Zbl 07316357
Liu, Yu; Zhou, Panyue
2020
A new proof of the Hardy-Rellich inequality in any dimension. Zbl 07316363
Cazacu, Cristian
2020
Residually finite tubular groups. Zbl 07316365
Hoda, Nima; Wise, Daniel T.; Woodhouse, Daniel J.
2020
New sharp Hardy and Rellich type inequalities on Cartan-Hadamard manifolds and their improvements. Zbl 1464.53047
Nguyen, Van Hoang
2020
On pathological properties of fixed point algebras in Kirchberg algebras. Zbl 07316372
Suzuki, Yuhei
2020
On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations. Zbl 1465.34038
Demina, Maria V.; Valls, Claudia
2020
Bilinear identities involving the $$k$$-plane transform and Fourier extension operators. Zbl 1459.42036
Beltran, David; Vega, Luis
2020
Twists and shear maps in nonlinear elasticity: explicit solutions and vanishing Jacobians. Zbl 1436.49059
Bevan, Jonathan J.; Käbisch, Sandra
2020
Pseudo-differential operators with nonlinear quantizing functions. Zbl 1450.35309
Esposito, Massimiliano; Ruzhansky, Michael
2020
Quantitative estimates for bending energies and applications to non-local variational problems. Zbl 1437.49005
Goldman, Michael; Novaga, Matteo; Röger, Matthias
2020
A generalization of Krasnosel’skii compression fixed point theorem by using star convex sets. Zbl 07189636
2020
Existence and non-existence of minimal graphic and $$p$$-harmonic functions. Zbl 1445.53031
Casteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka
2020
Characterization of fundamental networks. Zbl 1437.92046
Aguiar, Manuela A. D.; Dias, Ana P. S.; Soares, Pedro
2020
Evolutes and focal surfaces of framed immersions in the Euclidean space. Zbl 1437.53006
Honda, Shun&rsquo;ichi; Takahashi, Masatomo
2020
A stability index for travelling waves in activator-inhibitor systems. Zbl 1436.35036
Cornwell, Paul; Jones, Christopher K. R. T.
2020
Hausdorff operators on holomorphic Hardy spaces and applications. Zbl 1437.47015
Hung, Ha Duy; Ky, Luong Dang; Quang, Thai Thuan
2020
Reduced fusion systems over $$p$$-groups with abelian subgroup of index $$p$$: III. Zbl 07193430
Oliver, Bob; Ruiz, Albert
2020
Liouville-Green expansions of exponential form, with an application to modified Bessel functions. Zbl 1437.34086
Dunster, T. M.
2020
On quotient modules of $$H^2( \mathbb{D}^n)$$: essential normality and boundary representations. Zbl 1445.47006
Das, B. Krishna; Gorai, Sushil; Sarkar, Jaydeb
2020
The number of solutions of the Erdős-Straus equation and sums of $$k$$ unit fractions. Zbl 07193438
Elsholtz, Christian; Planitzer, Stefan
2020
Factoriality, Connes’ type III invariants and fullness of amalgamated free product von Neumann algebras. Zbl 1452.46046
Houdayer, Cyril; Isono, Yusuke
2020
Duality between $$p$$-groups with three characteristic subgroups and semisimple anti-commutative algebras. Zbl 07220508
Glasby, S. P.; Ribeiro, Frederico A. M.; Schneider, Csaba
2020
Wave propagation for a class of non-local dispersal non-cooperative systems. Zbl 1465.35282
Yang, Fei-Ying; Li, Wan-Tong; Wang, Jia-Bing
2020
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions. Zbl 1454.37074
Kalita, Piotr; Zgliczyński, Piotr
2020
Sharp estimates of semistable radial solutions of $$k$$-Hessian equations. Zbl 1450.35088
Navarro, Miguel Angel; Sánchez, Justino
2020
Existence of bistable waves for a nonlocal and nonmonotone reaction-diffusion equation. Zbl 07183658
Trofimchuk, Sergei; Volpert, Vitaly
2020
Generalized Lambert series and arithmetic nature of odd zeta values. Zbl 1437.11124
Dixit, Atul; Maji, Bibekananda
2020
Nodal solutions for the fractional Yamabe problem on Heisenberg groups. Zbl 1439.35503
Kristály, Alexandru
2020
Existence results for Kirchhoff-type superlinear problems involving the fractional Laplacian. Zbl 1442.35501
Binlin, Zhang; Rădulescu, Vicenţiu D.; Wang, Li
2019
Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity. Zbl 1437.35383
Cao, Daomin; Dai, Wei
2019
The projective stable category of a coherent scheme. Zbl 1423.18053
2019
Strong maximum principles for fractional Laplacians. Zbl 1425.35220
Musina, Roberta; Nazarov, Alexander I.
2019
Explicit coupling argument for non-uniformly hyperbolic transformations. Zbl 1430.37026
Korepanov, A.; Kosloff, Z.; Melbourne, I.
2019
Complete quenching phenomenon and instantaneous shrinking of support of solutions of degenerate parabolic equations with nonlinear singular absorption. Zbl 1426.35136
Dao, Nguyen Anh; Díaz, Jesus Ildefonso; Kha, Huynh Van
2019
Morse index and symmetry for elliptic problems with nonlinear mixed boundary conditions. Zbl 1423.35120
Damascelli, Lucio; Pacella, Filomena
2019
Asymptotic analysis of the Ginzburg-Landau functional on point clouds. Zbl 1417.49013
Thorpe, Matthew; Theil, Florian
2019
Universal localizations via silting. Zbl 07070277
Marks, Frederik; Št&rsquo;ovíček, Jan
2019
Ulam stability for some classes of $$C^*$$-algebras. Zbl 1427.46038
McKenney, Paul; Vignati, Alessandro
2019
Lagrangian submanifolds of the nearly Kähler $$\mathbb{S}^{3}\times\mathbb{S}^{3}$$ from minimal surfaces in $$\mathbb{S}^{3}$$. Zbl 1419.53021
Bektaş, Burcu; Moruz, Marilena; Van der Veken, Joeri; Vrancken, Luc
2019
General sharp weighted Caffarelli-Kohn-Nirenberg inequalities. Zbl 1423.26029
Lam, Nguyen
2019
Positivity and continued fractions from the binomial transformation. Zbl 1415.05008
Zhu, Bao-Xuan
2019
Converge rates towards stationary solutions for the outflow problem of planar magnetohydrodynamics on a half line. Zbl 1425.35166
Yin, Haiyan
2019
A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects. Zbl 1429.35091
Jevnikar, Aleks; Yang, Wen
2019
Poincaré inequalities for Sobolev spaces with matrix-valued weights and applications to degenerate partial differential equations. Zbl 1418.35009
Monticelli, Dario D.; Payne, Kevin R.; Punzo, Fabio
2019
The effect of impurities on striped phases. Zbl 1454.35028
Jaramillo, Gabriela; Scheel, Arnd; Wu, Qiliang
2019
Oscillation and variation for the Riesz transform associated with Bessel operators. Zbl 1416.42016
Wu, Huoxiong; Yang, Dongyong; Zhang, Jing
2019
On the well-posedness and asymptotic behaviour of the generalized Korteweg-de Vries-Burgers equation. Zbl 1423.35339
Gallego, F. A.; Pazoto, A. F.
2019
Existence of normalized solutions for nonlinear fractional Schrödinger equations with trapping potentials. Zbl 1422.35059
Du, Miao; Tian, Lixin; Wang, Jun; Zhang, Fubao
2019
Minimizing movements for oscillating energies: the critical regime. Zbl 1418.35023
Ansini, Nadia; Braides, Andrea; Zimmer, Johannes
2019
Some nonexistence theorems for semilinear fourth-order equations. Zbl 1418.35052
Burgos-Pérez, M. Á.; García-Melián, J.; Quaas, A.
2019
Perturbed Schrödinger lattice systems: existence of homoclinic solutions. Zbl 1437.35618
Chen, Guanwei; Ma, Shiwang
2019
Multi-peak positive solutions to a class of Kirchhoff equations. Zbl 1437.35024
Luo, Peng; Peng, Shuangjie; Wang, Chunhua; Xiang, Chang-Lin
2019
On critical exponents of a $$k$$-Hessian equation in the whole space. Zbl 1437.35418
Wang, Yun; Lei, Yutian
2019
A note on rigidity theorem of $$\lambda$$-hypersurfaces. Zbl 1433.53120
Wei, Guoxin; Peng, Yejuan
2019
Spectral transitions for Aharonov-Bohm Laplacians on conical layers. Zbl 1436.35267
Krejčiřík, D.; Lotoreichik, V.; Ourmières-Bonafos, T.
2019
Prime divisors of orders of products. Zbl 07134919
Moretó, Alexander; Sáez, Azahara
2019
On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations. Zbl 1429.35103
2019
An $$n$$-dimensional Klein bottle. Zbl 1430.55002
Davis, Donald M.
2019
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#### Cited by 17,297 Authors

 116 Tang, Xianhua 94 Papageorgiou, Nikolaos S. 92 Wei, Juncheng 74 Rădulescu, Vicenţiu D. 69 Li, Wan-Tong 63 Alves, Claudianor Oliveira 60 Wang, Mingxin 59 Llibre, Jaume 58 Neff, Patrizio 55 Binding, Paul Anthony 53 Shivaji, Ratnasingham 52 Shi, Junping 49 Ambrosio, Vincenzo 49 Zettl, Anton 47 Miyagaki, Olimpio Hiroshi 47 Wei, Junjie 47 Wu, Tsungfang 46 Agarwal, Ravi P. 42 Conti, Sergio 40 Dancer, Edward Norman 40 Guo, Zongming 40 Lou, Yuan 39 Chen, Sitong 39 Fonseca, Irene 39 O’Regan, Donal 39 Schneider, Guido 39 Yuan, Rong 38 Ma, Ruyun 38 Vazquez, Juan Luis 38 Yang, Minbo 37 Browne, Patrick J. 37 Mu, Chunlai 37 Nicholls, David P. 35 Suh, Young Jin 33 Gesztesy, Fritz 33 Zelik, Sergey V. 32 Casado-Díaz, Juan 32 Everitt, William Norrie 32 Mei, Ming 32 Souganidis, Panagiotis E. 32 Zhang, Fubao 32 Zou, Wenming 31 Cosner, Chris 31 Lin, Chang-Shou 31 Mielke, Alexander 31 Müller, Stefan 31 Yao, Zhengan 30 Du, Yihong 30 Perthame, Benoît 30 Pistoia, Angela 30 Ruan, Shigui 30 Wang, Jun 29 Del Pino, Manuel A. 29 Poláčik, Peter 29 Tang, Chun-Lei 28 Giné, Jaume 28 Guo, Shangjiang 28 Hayashi, Nakao 28 Molica Bisci, Giovanni 28 Peng, Rui 28 Rossi, Julio Daniel 28 Yang, Zuodong 28 Zhou, Jun 27 Afrouzi, Ghasem Alizadeh 27 García-Melián, Jorge 27 Hsu, TsingSan 27 Iwaniec, Tadeusz 27 Kaikina, Elena Igorevna 27 Littlejohn, Lance L. 27 Squassina, Marco 27 Wang, Zhi Cheng 27 Zhang, Weinian 26 Diaz Diaz, Jesus Ildefonso 26 Fan, Jishan 26 Fernández-Cara, Enrique 26 Guo, Boling 26 Harris, Bernard J. 26 Izumiya, Shyuichi 26 Laurençot, Philippe 26 Peral Alonso, Ireneo 26 Wu, Jianhong 26 Yan, Shusen 26 Zuazua, Enrique 25 Cantrell, Robert Stephen 25 Deng, Yinbin 25 Feireisl, Eduard 25 Galaktionov, Victor Aleksandrovich 25 Guo, Xiaojiang 25 Korman, Philip L. 25 López-Gómez, Julián 25 Stuart, Charles Alexander 25 Ugurlu, Ekin 25 Yu, Jian-She 25 Zhang, Binlin 24 Allaire, Grégoire 24 Betancor Perez, Jorge Juan 24 East, James 24 Feng, Zhaosheng 24 Li, Gongbao 24 Shum, Kar-Ping ...and 17,197 more Authors
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#### Cited in 792 Journals

 1,499 Journal of Mathematical Analysis and Applications 1,474 Journal of Differential Equations 967 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 702 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 428 Archive for Rational Mechanics and Analysis 371 Calculus of Variations and Partial Differential Equations 345 Nonlinear Analysis. Theory, Methods & Applications 336 Journal of Functional Analysis 285 Mathematical Methods in the Applied Sciences 279 Nonlinear Analysis. Real World Applications 275 Journal of Mathematical Physics 266 Proceedings of the American Mathematical Society 264 Applied Mathematics and Computation 259 Discrete and Continuous Dynamical Systems 258 Applicable Analysis 254 Transactions of the American Mathematical Society 240 ZAMP. Zeitschrift für angewandte Mathematik und Physik 224 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 218 Communications on Pure and Applied Analysis 206 Computers & Mathematics with Applications 204 Journal of Computational and Applied Mathematics 201 Applied Mathematics Letters 197 Physica D 192 Boundary Value Problems 184 Annali di Matematica Pura ed Applicata. Serie Quarta 177 Mathematische Nachrichten 173 Semigroup Forum 173 Journal de Mathématiques Pures et Appliquées. Neuvième Série 167 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 163 Linear Algebra and its Applications 156 Journal of Dynamics and Differential Equations 155 Communications in Partial Differential Equations 152 Abstract and Applied Analysis 152 Discrete and Continuous Dynamical Systems. Series B 145 SIAM Journal on Mathematical Analysis 143 Communications in Mathematical Physics 143 Journal of Algebra 132 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 131 Communications in Contemporary Mathematics 123 Advances in Difference Equations 122 Rocky Mountain Journal of Mathematics 118 Proceedings of the Edinburgh Mathematical Society. Series II 111 Journal of Mathematical Sciences (New York) 110 Results in Mathematics 108 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 108 NoDEA. Nonlinear Differential Equations and Applications 108 Acta Mathematica Sinica. English Series 105 Complex Variables and Elliptic Equations 101 Advances in Mathematics 100 Communications on Pure and Applied Mathematics 98 Nonlinearity 98 Mathematische Annalen 95 Advanced Nonlinear Studies 94 Mathematische Zeitschrift 94 Comptes Rendus. Mathématique. Académie des Sciences, Paris 92 Communications in Algebra 91 Bulletin of the Australian Mathematical Society 90 Mediterranean Journal of Mathematics 89 Acta Applicandae Mathematicae 84 Science China. Mathematics 81 Journal of Nonlinear Science 79 Integral Equations and Operator Theory 76 Israel Journal of Mathematics 74 Acta Mathematicae Applicatae Sinica. English Series 74 The Journal of Geometric Analysis 72 Chaos, Solitons and Fractals 72 Archiv der Mathematik 72 Czechoslovak Mathematical Journal 72 Journal of Elasticity 68 Journal of Computational Physics 68 Glasgow Mathematical Journal 68 Manuscripta Mathematica 66 Topology and its Applications 66 Mathematical and Computer Modelling 65 Monatshefte für Mathematik 64 Journal of Mathematical Biology 64 Journal of Evolution Equations 61 Journal d’Analyse Mathématique 60 Journal of Geometry and Physics 58 Advances in Nonlinear Analysis 56 Quarterly of Applied Mathematics 55 Discrete and Continuous Dynamical Systems. Series S 54 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 54 Journal of Pure and Applied Algebra 54 Journal of Mathematical Fluid Mechanics 53 Mathematical Proceedings of the Cambridge Philosophical Society 53 Journal of Function Spaces 52 Mathematical Notes 52 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 48 Mathematics of Computation 48 Chinese Annals of Mathematics. Series B 48 Bulletin des Sciences Mathématiques 48 Journal of Inequalities and Applications 48 Journal of Hyperbolic Differential Equations 47 Computer Methods in Applied Mechanics and Engineering 47 Journal of Statistical Physics 47 Applied Mathematics and Optimization 47 Journal of Optimization Theory and Applications 47 Applied Numerical Mathematics 47 Journal of the European Mathematical Society (JEMS) ...and 692 more Journals
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#### Cited in 62 Fields

 12,308 Partial differential equations (35-XX) 3,753 Ordinary differential equations (34-XX) 2,319 Operator theory (47-XX) 1,842 Fluid mechanics (76-XX) 1,512 Dynamical systems and ergodic theory (37-XX) 1,474 Calculus of variations and optimal control; optimization (49-XX) 1,426 Biology and other natural sciences (92-XX) 1,413 Mechanics of deformable solids (74-XX) 1,221 Functional analysis (46-XX) 1,052 Global analysis, analysis on manifolds (58-XX) 1,048 Numerical analysis (65-XX) 747 Group theory and generalizations (20-XX) 671 Differential geometry (53-XX) 604 Statistical mechanics, structure of matter (82-XX) 545 Real functions (26-XX) 530 Integral equations (45-XX) 477 Probability theory and stochastic processes (60-XX) 459 Systems theory; control (93-XX) 422 Harmonic analysis on Euclidean spaces (42-XX) 409 Functions of a complex variable (30-XX) 400 Quantum theory (81-XX) 383 Difference and functional equations (39-XX) 381 Optics, electromagnetic theory (78-XX) 307 Special functions (33-XX) 270 Linear and multilinear algebra; matrix theory (15-XX) 264 Associative rings and algebras (16-XX) 257 Mechanics of particles and systems (70-XX) 230 Classical thermodynamics, heat transfer (80-XX) 218 Combinatorics (05-XX) 203 Manifolds and cell complexes (57-XX) 189 Potential theory (31-XX) 188 Number theory (11-XX) 180 Approximations and expansions (41-XX) 177 Algebraic topology (55-XX) 167 Measure and integration (28-XX) 155 Order, lattices, ordered algebraic structures (06-XX) 149 Nonassociative rings and algebras (17-XX) 134 Abstract harmonic analysis (43-XX) 121 Several complex variables and analytic spaces (32-XX) 112 Computer science (68-XX) 110 General topology (54-XX) 96 Operations research, mathematical programming (90-XX) 92 Integral transforms, operational calculus (44-XX) 91 Statistics (62-XX) 90 General algebraic systems (08-XX) 88 Geophysics (86-XX) 83 Topological groups, Lie groups (22-XX) 79 Algebraic geometry (14-XX) 76 Category theory; homological algebra (18-XX) 75 Convex and discrete geometry (52-XX) 75 Information and communication theory, circuits (94-XX) 65 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Commutative algebra (13-XX) 47 Relativity and gravitational theory (83-XX) 44 History and biography (01-XX) 29 Mathematical logic and foundations (03-XX) 28 Sequences, series, summability (40-XX) 28 Geometry (51-XX) 24 General and overarching topics; collections (00-XX) 23 Astronomy and astrophysics (85-XX) 20 Field theory and polynomials (12-XX) 12 $$K$$-theory (19-XX)