## Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni

 Short Title: Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. Publisher: EMS Press, Berlin ISSN: 1120-6330; 1720-0768/e Online: https://ems.press/journals/rlm/readhttp://www.lincei.it/pubblicazioni/rendicontiFMN/cliccami.htm Predecessor: Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e NaturaliAtti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Memorie Lincee. Matematica e Applicazioni Comments: Indexed cover-to-cover; In 1995 the journal incorporated: Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Mem. Lincee, Mat. Appl. (ISSN 1120-6357)
 Documents Indexed: 971 Publications (since 1990) References Indexed: 416 Publications with 8,600 References.
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### Authors

 16 Da Prato, Giuseppe 11 Ambrosio, Luigi 11 Berti, Massimiliano 10 Rionero, Salvatore 10 Vesentini, Edoardo 10 Zannier, Umberto M. 9 Primicerio, Mario 9 Tesei, Alberto 8 Biasco, Luca 8 Boccardo, Lucio 8 Tomassini, Giuseppe 8 Villaggio, Piero 7 Bellettini, Giovanni 7 Bombieri, Enrico 7 Bressan, Aldo 7 Fasano, Antonio 7 Malchiodi, Andrea 7 Visintin, Augusto 6 Ambrosetti, Antonio 6 Graffi, Sandro 6 Lanzara, Flavia 6 Mingione, Giuseppe 6 Paolini, Maurizio 6 Papageorgiou, Nikolaos S. 6 Procesi, Michela 5 Ballico, Edoardo 5 Demichelis, Stefano 5 Farina, Angiolo 5 Fusco, Nicola 5 Giannetti, Flavia 5 Guidugli, Paolo Podio 5 Lanconelli, Ermanno 5 Maz’ya, Vladimir Gilelevich 5 Pallara, Diego 5 Passarelli di Napoli, Antonia 5 Procesi, Claudio 5 Rădulescu, Vicenţiu D. 5 Savaré, Giuseppe 5 Toscani, Giuseppe 5 Trombetti, Cristina 5 Włodarczyk, Kazimierz 5 Zampieri, Giuseppe 5 Zappa, Guido 4 Baldi, Pietro 4 Benci, Vieri 4 Bolle, Philippe 4 Bondioli, Cristiana 4 Borsi, Iacopo 4 Brézis, Haïm 4 Casarino, Valentina 4 Cialdea, Alberto 4 Comi, Claudia 4 Corigliano, Alberto 4 De Concini, Corrado 4 De Giorgi, Ennio 4 DiBenedetto, Emmanuele 4 D’Onofrio, Luigi 4 Ferone, Vincenzo 4 Gianazza, Ugo Pietro 4 Gianni, Roberto 4 Gilardi, Gianni 4 Greco, Luigi 4 Lions, Pierre-Louis 4 Lunardi, Alessandra 4 Marano, Salvatore Angelo 4 Moscariello, Gioconda 4 Mulone, Giuseppe 4 Nitsch, Carlo 4 Oleĭnik, Ol’ga Arsen’evna 4 Orsina, Luigi 4 Passaseo, Donato 4 Pratelli, Aldo 4 Ruggeri, Tommaso 4 Saccomandi, Giuseppe 4 Sbordone, Carlo 4 Schiattarella, Roberta 4 Souganidis, Panagiotis E. 4 Valent, Tullio 4 Vespri, Vincenzo Riccardo 4 Vigué, Jean-Pierre 3 Alberico, Angela 3 Alvino, Angelo 3 Amar, Micol 3 Baiocchi, Claudio 3 Barbu, Viorel 3 Brezzi, Franco 3 Busoni, Giorgio 3 Caldiroli, Paolo 3 Capriz, Gianfranco 3 Cardin, Franco 3 Catanese, Fabrizio M. E. 3 Chierchia, Luigi 3 Cingolani, Silvia 3 Colli, Pierluigi 3 Cornalba, Maurizio 3 Corvaja, Pietro 3 Coti Zelati, Vittorio 3 D’Agnolo, Andrea 3 de Giovanni, Francesco 3 Debussche, Arnaud ...and 1,018 more Authors
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### Fields

 380 Partial differential equations (35-XX) 101 Calculus of variations and optimal control; optimization (49-XX) 88 Mechanics of deformable solids (74-XX) 83 Functional analysis (46-XX) 70 Operator theory (47-XX) 69 Algebraic geometry (14-XX) 58 Differential geometry (53-XX) 58 Fluid mechanics (76-XX) 51 Several complex variables and analytic spaces (32-XX) 50 Dynamical systems and ergodic theory (37-XX) 48 Global analysis, analysis on manifolds (58-XX) 45 Group theory and generalizations (20-XX) 42 Real functions (26-XX) 40 Number theory (11-XX) 36 Ordinary differential equations (34-XX) 35 Probability theory and stochastic processes (60-XX) 29 Functions of a complex variable (30-XX) 25 Statistical mechanics, structure of matter (82-XX) 24 Measure and integration (28-XX) 24 Mechanics of particles and systems (70-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 19 Manifolds and cell complexes (57-XX) 19 Numerical analysis (65-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Quantum theory (81-XX) 14 Topological groups, Lie groups (22-XX) 13 Nonassociative rings and algebras (17-XX) 13 Biology and other natural sciences (92-XX) 12 History and biography (01-XX) 11 Convex and discrete geometry (52-XX) 10 Systems theory; control (93-XX) 9 Mathematical logic and foundations (03-XX) 9 Potential theory (31-XX) 9 Integral equations (45-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Combinatorics (05-XX) 8 Abstract harmonic analysis (43-XX) 8 Algebraic topology (55-XX) 7 Relativity and gravitational theory (83-XX) 6 Computer science (68-XX) 6 Optics, electromagnetic theory (78-XX) 6 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 4 General and overarching topics; collections (00-XX) 4 Associative rings and algebras (16-XX) 4 Geometry (51-XX) 4 Geophysics (86-XX) 3 Field theory and polynomials (12-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX)

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On integral representations of $$q$$-gamma and $$q$$-beta functions. Zbl 1225.33017
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Nonradial symmetric bound states for a system of coupled Schrödinger equations. Zbl 1229.35019
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2007
A metric on shape space with explicit geodesics. Zbl 1142.58013
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2008
Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations. Zbl 1219.35292
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2011
Rational points in periodic analytic sets and the Manin-Mumford conjecture. Zbl 1164.11029
Pila, Jonathan; Zannier, Umberto
2008
Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169
Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira
2016
Some existence results for the Toda system on closed surfaces. Zbl 1148.35021
Malchiodi, Andrea; Ndiaye, Cheikh Birahim
2007
Generalization of Fueter’s result to $$\mathbb{R}^{n+1}$$. Zbl 0909.30036
Qian, Tao
1997
Positive solutions of nonlinear Schrödinger-Poisson systems with radial potentials vanishing at infinity. Zbl 1200.35098
Mercuri, Carlo
2008
A note on heights in certain infinite extensions of $$\mathbb Q$$. Zbl 1072.11077
Bombieri, Enrico; Zannier, Umberto
2001
On doubly nonlocal fractional elliptic equations. Zbl 1329.49018
Molica Bisci, Giovanni; Repovš, Dušan
2015
A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis. Zbl 1097.11041
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Semigroups and generators on convex domains with the hyperbolic metric. Zbl 0905.47056
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1997
Some properties of Carnot-Carath’eodory balls in the Heisenberg group. Zbl 1197.53064
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2000
Existence for wave equations on domains with arbitrary growing cracks. Zbl 1239.35086
Dal Maso, Gianni; Larsen, Christopher J.
2011
On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Zbl 0878.35011
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1996
Multiple solutions of superlinear elliptic equations. Zbl 1223.35173
Rabinowitz, Paul H.; Su, Jiabao; Wang, Zhi-Qiang
2007
Combined effects in quasilinear elliptic problems with lack of compactness. Zbl 1223.35165
2011
A remark on optimal weighted Poincaré inequalities for convex domains. Zbl 1258.26013
Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2012
Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation. Zbl 1221.65244
Repin, Sergey
2002
Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces. Zbl 0837.31006
Biroli, Marco; Mosco, Umberto
1995
Parametric representations of semi-complete vector fields on the unit balls in $$\mathbb{C}^ n$$ and in Hilbert space. Zbl 1036.32017
Aharonov, Dov; Elin, Mark; Reich, Simeon; Shoikhet, David
1999
Differentiability of the Feynman-Kac semigroup and a control application. Zbl 0910.93025
Da Prato, Giuseppe; Zabczyk, Jerzy
1997
Exact null controllability of structurally damped and thermoelastic parabolic models. Zbl 0935.93010
Lasiecka, Irena; Triggiani, Roberto
1998
A density property for fractional weighted Sobolev spaces. Zbl 1346.46024
Dipierro, Serena; Valdinoci, Enrico
2015
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
2017
Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111
Lions, Pierre-Louis; Souganidis, Panagiotis
2016
Local clustering of the non-zero set of functions in $$W^{1,1} (E)$$. Zbl 1223.46034
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
Unconditional nonlinear exponential stability in the Bénard problem for a mixture: Necessary and sufficient conditions. Zbl 0922.76171
Mulone, Giuseppe; Rionero, Salvatore
1998
A note on nonlinear elliptic problems with singular potentials. Zbl 1126.35021
2006
The BBM formula revisited. Zbl 1362.46036
Brezis, Haïm; Nguyen, Hoai-Minh
2016
New approximations of the total variation and filters in imaging. Zbl 1325.26036
Brezis, Haim
2015
Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures. Zbl 1329.28024
Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita
2015
Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up. Zbl 1223.35187
Bandle, Catherine; von Below, Joachim; Reichel, Wolfgang
2006
On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces. Zbl 1404.46036
Parini, Enea; Ruf, Bernhard
2018
The “ergodic limit” for a viscous Hamilton-Jacobi equation with Dirichlet conditions. Zbl 1189.35102
Porretta, Alessio
2010
Variational methods for nonlinear perturbations of singular $$\varphi$$-Laplacians. Zbl 1219.35062
Bereanu, Cristian; Jebelean, Petru; Mawhin, Jean
2011
On the Cauchy problem for a class of parabolic equations with variable density. Zbl 0926.35045
Kamin, Shoshana; Kersner, Robert; Tesei, Alberto
1998
Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003
Pohozaev, Stanislav I.; Tesei, Alberto
2000
Convergence and rate of approximation in $$BV^{\phi}(\mathbb R^N_+)$$ for a class of Mellin integral operators. Zbl 1301.41015
Angeloni, Laura; Vinti, Gianluca
2014
Strong semiclassical approximation of Wigner functions for the Hartree dynamics. Zbl 1235.81100
Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario
2011
On a conjecture of J. Serrin. Zbl 1197.35079
Brezis, Haim
2008
Sign-changing solutions for a class of Schrödinger equations with vanishing potentials. Zbl 1392.35099
Ambrosio, Vincenzo; Isernia, Teresa
2018
Regularity properties of solutions of elliptic equations in $$\mathbb{R}^ 2$$ in limit cases. Zbl 0860.35015
Alberico, Angela; Ferone, Vincenzo
1995
Stability of ternary reaction-diffusion dynamical systems. Zbl 1242.35044
Rionero, Salvatore
2011
Irreducibility of the space of dihedral covers of the projective line of a given numerical type. Zbl 1268.14025
Catanese, Fabrizio; Lönne, Michael; Perroni, Fabio
2011
Regularity results for non-autonomous variational integrals with discontinuous coefficients. Zbl 1329.49066
Passarelli di Napoli, Antonia
2015
On sequentially weakly Feller solutions to SPDE’s. Zbl 1007.60067
Maslowski, Bohdan; Seidler, Jan
1999
Weighted extrapolation in grand Morrey spaces and applications to partial differential equations. Zbl 1422.42018
Kokilashvili, Vakhtang; Meskhi, Alexander; Ragusa, Maria Alessandra
2019
A note on global regularity for the weak solutions of fractional $$p$$-Laplacian equations. Zbl 1336.35360
Iannizzotto, Antonio; Mosconi, Sunra J. N.; Squassina, Marco
2016
Onset of convection for ternary fluid mixtures saturating horizontal porous layers with large pores. Zbl 1255.76118
Capone, Florinda; De Luca, Roberta
2012
Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026
Boscain, Ugo; Polidoro, Sergio
2007
$$L^2$$-stability of the solutions to a nonlinear binary reaction-diffusion system of P.D.E.s. Zbl 1150.35012
Rionero, S.
2005
Variational convergence of nonlinear diffusion equations: Applications to concentrated capacity problems with change of phase. Zbl 0888.35139
Savaré, Giuseppe; Visintín, Augusto
1997
$$L^ p$$-estimates for linear elliptic systems with discontinuous coefficients. Zbl 0803.35016
Chiarenza, Filippo; Franciosi, Michelangelo; Frasca, Michele
1994
A variational approach to doubly nonlinear equations. Zbl 1407.35123
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
2018
Discontinuous travelling wave solutions for a class of dissipative hyperbolic models. Zbl 1225.35144
Currò, Carmela; Fusco, Domenico
2005
On weak solutions for $$p$$-Laplacian equations with weights. Zbl 1223.35128
2007
Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations. Zbl 1194.35343
Benci, Vieri; Fortunato, Donato
2009
Existence of entire solutions to a fractional Liouville equation in $$\mathbb{R}^n$$. Zbl 1336.35359
Hyder, Ali
2016
An information-theoretic proof of Nash’s inequality. Zbl 1301.62006
Toscani, Giuseppe
2013
The curvature of a set with finite area. Zbl 0809.49038
Barozzi, Elisabetta
1994
Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators. Zbl 0811.46023
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
1994
Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2017
A Sobolev non embedding. Zbl 1341.46024
Mironescu, Petru; Sickel, Winfried
2015
Some remarks on the $$L^p$$ regularity of second derivatives of solutions to non-divergence elliptic equations and the Dini condition. Zbl 1367.35052
Escauriaza, Luis; Montaner, Santiago
2017
Characteristic varieties and constructible sheaves. Zbl 1139.14009
Dimca, Alexandru
2007
On homogenization problems for the Laplace operator in partially perforated domains with Neumann’s condition on the boundary of cavities. Zbl 0848.35009
Oleinik, Olga A.; Shaposhnikova, Tatiana
1995
On the partially symmetric rank of tensor products of $$W$$-states and other symmetric tensors. Zbl 1476.14090
Ballico, Edoardo; Bernardi, Alessandra; Christandl, Matthias; Gesmundo, Fulvio
2019
A note on KAM theory for quasi-linear and fully nonlinear forced KdV. Zbl 1282.37039
Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo
2013
On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity. Zbl 0876.35012
Oleinik, Olga A.; Chechkin, Gregory
1996
Surface measures in infinite dimension. Zbl 1301.28009
Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano
2014
Heat and mass transfer by convection in multicomponent Navier-Stokes mixtures: absence of subcritical instabilities and global nonlinear stability via the Auxiliary System Method. Zbl 1311.35230
Rionero, Salvatore
2014
A degenerate elliptic operator with unbounded diffusion coefficients. Zbl 1294.47061
Metafune, G.; Spina, C.
2014
The Neumann eigenvalue problem for the $$\infty$$-Laplacian. Zbl 1321.35120
Esposito, L.; Kawohl, B.; Nitsch, C.; Trombetti, C.
2015
Conformal metrics on $$\mathbb R^{2m}$$ with constant $$Q$$-curvature. Zbl 1194.35154
Martinazzi, Luca
2008
Uniqueness of signed measures solving the continuity equation for Osgood vector fields. Zbl 1204.35069
Ambrosio, Luigi; Bernard, Patrick
2008
Geometry and balance of hyperstresses. Zbl 1140.74005
Mariano, Paolo Maria
2007
“Approximate approximations” and the cubature of potentials. Zbl 0845.65008
1995
On analyticity of Ornstein-Uhlenbeck semigroups. Zbl 1026.47506
Goldys, Beniamin
1999
Some results on stochastic convolutions arising in Volterra equations perturbed by noise. Zbl 0876.60045
Clément, Philippe; Da Prato, Giuseppe
1996
Boundaries of prescribed mean curvature. Zbl 0824.49037
Gonzales, Eduardo H. A.; Massari, Umberto; Tamanini, Italo
1993
Caccioppoli estimates and very weak solutions of elliptic equations. Zbl 1225.35069
2003
The time-periodic unfolding operator and applications to parabolic homogenization. Zbl 1383.35015
Amar, Micol; Andreucci, Daniele; Bellaveglia, Dario
2017
A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one. Zbl 1377.35267
Iula, Stefano
2017
A fractional Gehring lemma, with applications to nonlocal equations. Zbl 1325.35260
Kuusi, Tuomo; Mingione, Giuseppe; Sire, Yannick
2014
A sharp quantitative isoperimetric inequality in higher codimension. Zbl 1320.49030
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
2015
$$L^p$$ theory for fractional gradient PDE with $$VMO$$ coefficients. Zbl 1332.35384
Schikorra, Armin; Shieh, Tien-Tsan; Spector, Daniel
2015
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space. Zbl 1162.35349
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
2004
Nonlinear potential estimates in parabolic problems. Zbl 1227.35105
Kuusi, Tuomo; Mingione, Giuseppe
2011
Second order differentiation formula on $$\mathsf{RCD}(K,N)$$ spaces. Zbl 1394.53050
Gigli, Nicola; Tamanini, Luca
2018
On the approximation of SBV functions. Zbl 1366.26020
de Philippis, Guido; Fusco, Nicola; Pratelli, Aldo
2017
Some (big) irreducible components of the moduli space of minimal surfaces of general type with $$p_{g} = q = 1$$ and $$K^{2} = 4$$. Zbl 1181.14044
Pignatelli, Roberto
2009
Surfaces minimizing nonlocal energies. Zbl 1182.53055
Caffarelli, Luis A.
2009
On the existence and blow-up of solutions for a mean field equation with variable intensities. Zbl 1454.35190
Ricciardi, Tonia; Takahashi, Ryo; Zecca, Gabriella; Xiao, Zhang
2016
Gaussian-type isoperimetric inequalities in $$\mathsf{RCD}(K,\infty)$$ probability spaces for positive $$K$$. Zbl 1351.49056
Ambrosio, Luigi; Mondino, Andrea
2016
Remarks on Weil’s quadratic functional in the theory of prime numbers. I. Zbl 1008.11034
Bombieri, Enrico
2000
Nonvariational basic parabolic systems of second order. Zbl 0749.35016
Campanato, Sergio
1991
Another algebraic proof of Weil’s reciprocity. Zbl 0739.30034
Previato, Emma
1991
Generalized $$N$$-property and Sard theorem for Sobolev maps. Zbl 1258.35056
Alberti, Giovanni
2012
Norms and Cayley-Hamilton algebras. Zbl 1476.16019
Procesi, Claudio
2021
Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs. Zbl 1473.37093
Giuliani, Filippo; Guardia, Marcel; Martin, Pau; Pasquali, Stefano
2021
On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces. Zbl 1479.14053
Catanese, Fabrizio; Liu, Wenfei
2021
Radon measure-valued solutions of quasilinear parabolic equations. Zbl 1476.35124
Tesei, Alberto
2021
Algebraic representation of dual scalar products and stabilization of saddle point problems. Zbl 1490.65108
Bertoluzza, Silvia
2021
Sublinear operators on mixed-norm Hardy spaces with variable exponents. Zbl 1460.42037
Ho, Kwok-Pun
2020
Lipschitz continuity results for a class of obstacle problems. Zbl 1439.49067
Benassi, Carlo; Caselli, Michele
2020
A variational proof of Nash’s inequality. Zbl 1440.35070
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
Fractional Sobolev inequalities revisited: the maximal function approach. Zbl 1453.46032
Nguyen Anh Dao; Díaz, Jesús Ildefonso; Nguyen, Quoc-Hung
2020
Quantitative estimates for sampling type operators with respect to the Jordan variation. Zbl 1446.41008
Angeloni, Laura; Costarelli, Danilo; Vinti, Gianluca
2020
Well-posedness for the backward problems in time for general time-fractional diffusion equation. Zbl 1460.35374
Floridia, Giuseppe; Li, Zhiyuan; Yamamoto, Masahiro
2020
Positive solution to Schrödinger equation with singular potential and double critical exponents. Zbl 1468.35042
Su, Yu
2020
An $$\varepsilon$$-regularity result for optimal transport maps between continuous densities. Zbl 07367176
Goldman, Michael
2020
A note on metric-measure spaces supporting Poincaré inequalities. Zbl 1439.30090
2020
Junction of quasi-stationary ferromagnetic wires. Zbl 1434.74082
Chacouche, Khaled; Faella, Luisa; Perugia, Carmen
2020
On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension. Zbl 1445.16030
Andruskiewitsch, Nicolás; Angiono, Iván Ezequiel; Heckenberger, István
2020
Nonexistence of solutions for elliptic equations with supercritical nonlinearity in nearly nontrivial domains. Zbl 1437.35311
Molle, Riccardo; Passaseo, Donato
2020
A model of capillary phenomena in $$\mathbb{R}^N$$ with subcritical growth. Zbl 1447.35143
Vetro, Calogero
2020
Homology of Lie algebras of orthogonal and symplectic generalized Jacobi matrices. Zbl 1486.17038
Fialowski, Alice; Iohara, Kenji
2020
Higher differentiability for a class of obstacle problems with nearly linear growth conditions. Zbl 1468.35069
Gavioli, Chiara
2020
Time quasi-periodic traveling gravity water waves in infinite depth. Zbl 1468.76013
Feola, Roberto; Giuliani, Filippo
2020
Saturation phenomena for some classes of nonlinear nonlocal eigenvalue problems. Zbl 1439.49082
Pietra, Francesco Della; Piscitelli, Gianpaolo
2020
On the $$p$$-adic distribution of torsion values for a section of an abelian scheme. Zbl 1451.14133
Lawrence, Brian; Zannier, Umberto
2020
On relationship between $$H$$-distributions and microlocal compactness forms. Zbl 1465.46041
Antonić, Nenad; Mitrović, Darko; Palle, Ljudevit
2020
A note on abelian subgroups of maximal order. Zbl 1484.20041
Aivazidis, Stefanos; Guralnick, Robert M.
2020
Elliptic Venttsel problems with $$VMO$$ coefficients. Zbl 1446.35241
Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G.
2020
Duality and distance formulas in Lipschitz-Hölder spaces. Zbl 07236102
Angrisani, Francesca; Ascione, Giacomo; D&rsquo;Onofrio, Luigi; Manzo, Gianluigi
2020
$$H=W$$ Musielak spaces framework. Zbl 1460.46019
Ahmida, Youssef; Fiorenza, Alberto; Youssfi, Ahmed
2020
Harnack inequality for parabolic quasi minimizers on metric spaces. Zbl 1462.30122
Herán, Andreas
2020
Global Lipschitz extension preserving local constants. Zbl 1469.30123
Di Marino, Simone; Gigli, Nicola; Pratelli, Aldo
2020
Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces. Zbl 07367169
Mukhamedov, Farrukh; Rafeiro, Humberto
2020
Effective cycles on the symmetric product of a curve. II: The Abel-Jacobi faces. Zbl 1478.14019
Bastianelli, Francesco; Kouvidakis, Alexis; Lopez, Angelo Felice; Viviani, Filippo
2020
On the limit as $$s\to 1^-$$ of possibly non-separable fractional Orlicz-Sobolev spaces. Zbl 1479.46036
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2020
A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS. Zbl 1473.37091
Biasco, Luca; Massetti, Jessica Elisa; Procesi, Michela
2020
Weighted extrapolation in grand Morrey spaces and applications to partial differential equations. Zbl 1422.42018
Kokilashvili, Vakhtang; Meskhi, Alexander; Ragusa, Maria Alessandra
2019
On the partially symmetric rank of tensor products of $$W$$-states and other symmetric tensors. Zbl 1476.14090
Ballico, Edoardo; Bernardi, Alessandra; Christandl, Matthias; Gesmundo, Fulvio
2019
A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2019
Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016
Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco
2019
Nonlinear Robin problems with general potential and crossing reaction. Zbl 1429.35066
Papageorgiou, Nikolaos S.; Scapellato, Andrea
2019
Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems. Zbl 1471.49024
Beck, Lisa; Mingione, Giuseppe
2019
Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction. Zbl 1429.35063
Guarnotta, Umberto; Marano, Salvatore A.; Papageorgiou, Nikolaos S.
2019
Combinatorics of toric arrangements. Zbl 1423.52040
Pagaria, Roberto
2019
High order VEM on curved domains. Zbl 1422.65370
Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele
2019
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027
Spector, Daniel; van Schaftingen, Jean
2019
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow. Zbl 1429.35046
Bonicatto, Paolo; Gusev, Nikolay A.
2019
A uniqueness criterion for measure-valued solutions of scalar hyperbolic conservation laws. Zbl 1428.35208
Bertsch, Michiel; Smarrazzo, Flavia; Terracina, Andrea; Tesei, Alberto
2019
Counting rational points and lower bounds for Galois orbits. Zbl 1431.14022
Schmidt, Harry
2019
Density in SBD and approximation of fracture energies. Zbl 1430.49048
Crismale, Vito
2019
Multiplicity and concentration of solutions for fractional Schrödinger systems via penalization method. Zbl 1433.35066
Ambrosio, Vincenzo
2019
Line and rational curve arrangements, and Walther’s inequality. Zbl 1441.14105
Dimca, Alexandru; Sticlaru, Gabriel
2019
On a new necessary condition in the calculus of variations for Lagrangians that are highly discontinuous in the state and velocity. Zbl 1428.49024
Bettiol, Piernicola; Mariconda, Carlo
2019
A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation. Zbl 1427.35254
Guardia, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela
2019
The unirationality of the Hurwitz schemes $$\mathcal H_{10, 8}$$ and $$\mathcal H_{13, 7}$$. Zbl 1420.14054
Keneshlou, Hanieh; Tanturri, Fabio
2019
Integrability of the spatial restricted three-body problem near collisions (an announcement). Zbl 1461.70015
Cardin, Franco; Guzzo, Massimiliano
2019
Large characteristic subgroups in which normality is a transitive relation. Zbl 1453.20038
De Giovanni, Francesco; Trombetti, Marco
2019
Gagliardo-Nirenberg inequality for rearrangement-invariant Banach function spaces. Zbl 1442.46025
Fiorenza, Alberto; Formica, Maria Rosaria; Roskovec, Tomáš; Soudský, Filip
2019
Hopf bifurcations and global nonlinear $$L^2$$-energy stability in thermal MHD. Zbl 1427.76078
Rionero, Salvatore
2019
On some singular nonlinear problems for monotone elliptic operators. Zbl 1429.35060
Chipot, Michel
2019
On the boundary point principle for divergence-type equations. Zbl 1433.35029
Apushkinskaya, Darya E.; Nazarov, Alexander I.
2019
Quasilinear elliptic equations with sub-natural growth terms and nonlinear potential theory. Zbl 1427.35089
Verbitsky, Igor E.
2019
Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity. Zbl 1454.35102
Frank, Rupert L.; König, Tobias
2019
A median approach to differentiation bases. Zbl 1417.42022
Heikkinen, Toni; Kinnunen, Juha
2019
A norm estimate for evolution operators of equations with the Lipschitz property in a Banach space. Zbl 1422.34178
Gil&rsquo;, Michael
2019
Harmonic morphisms and the Penrose-Ward transform. Zbl 1425.53057
2019
The information-theoretic meaning of Gagliardo-Nirenberg type inequalities. Zbl 1423.35136
Toscani, Giuseppe
2019
Exponential and sub-exponential stability times for the NLS on the circle. Zbl 1432.37095
Biasco, Luca; Massett, Jessica Elisa; Procesi, Michela
2019
Filter exhaustiveness and filter limit theorems for $$k$$-triangular lattice group-valued set functions. Zbl 1423.28036
Boccuto, Antonio; Dimitriou, Xenofon
2019
Linear functionals on variable exponent Bochner-Lebesgue spaces. Zbl 1455.46029
Castillo, René Erlín; Guzmán, Oscar M.; Rafeiro, Humberto
2019
On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces. Zbl 1404.46036
Parini, Enea; Ruf, Bernhard
2018
Sign-changing solutions for a class of Schrödinger equations with vanishing potentials. Zbl 1392.35099
Ambrosio, Vincenzo; Isernia, Teresa
2018
A variational approach to doubly nonlinear equations. Zbl 1407.35123
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
2018
Second order differentiation formula on $$\mathsf{RCD}(K,N)$$ spaces. Zbl 1394.53050
Gigli, Nicola; Tamanini, Luca
2018
Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds. Zbl 1395.53044
Cavalletti, Fabio; Mondino, Andrea
2018
Identifiability beyond Kruskal’s bound for symmetric tensors of degree 4. Zbl 1400.14112
Angelini, Elena; Chiantini, Luca; Vannieuwenhoven, Nick
2018
On a $$(p,q)$$-Laplacian problem with parametric concave term and asymmetric perturbation. Zbl 1394.35154
Marano, Salvatore A.; Mosconi, Sunra J. N.; Papageorgiou, Nikolaos S.
2018
A note on doubly nonlinear SPDEs with singular drift in divergence form. Zbl 1409.60097
Marinelli, Carlo; Scarpa, Luca
2018
Nodal solutions for nonlinear nonhomogeneous Robin problems. Zbl 1409.35068
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2018
Stability for parabolic quasi minimizers in metric measure spaces. Zbl 1390.35135
Fujishima, Yohei; Habermann, Jens
2018
A new approach to decay estimates - application to a nonlinear and degenerate parabolic PDE. Zbl 1408.35062
Porzio, Maria Michaela
2018
On the local negativity of surfaces with numerically trivial canonical class. Zbl 1395.14004
Laface, Roberto; Pokora, Piotr
2018
Regularizing effect of the lower order terms in some elliptic problems: old and new. Zbl 1394.35152
Boccardo, Lucio; Orsina, Luigi
2018
Small perturbations of nonlocal biharmonic problems with variable exponent and competing nonlinearities. Zbl 1402.35131
Kefi, Khaled; Rădulescu, Vicenţiu D.
2018
Compactness and $$s$$-numbers for polynomials. Zbl 1458.47032
Çalışkan, Erhan; Rueda, Pilar
2018
On Green’s proof of the infinitesimal Torelli theorem for hypersurfaces. Zbl 1409.14020
Rizzi, Luca; Zucconi, Francesco
2018
Three counterexamples concerning the Northcott property of fields. Zbl 1441.11173
Fehm, Arno
2018
New techniques for solving some class of singular elliptic equations. Zbl 1395.35089
Chipot, Michel; De Cave, Linda Maria
2018
On the planar minimal BV extension problem. Zbl 1407.46030
2018
An axiomatic framework for the mechanics of generalized continua. Zbl 1391.74007
Del Piero, Gianpietro
2018
Inverse mean curvature flow in quaternionic hyperbolic space. Zbl 1391.53079
Pipoli, Giuseppe
2018
Eigenvalue problem for fractional Kirchhoff Laplacian. Zbl 1392.35138
Tyagi, J.
2018
Stability of evolution equations with small commutators in a Banach space. Zbl 07032412
Gil&rsquo;, Michael
2018
KAM for gravity water waves in finite depth. Zbl 1390.76041
Baldi, Pietro; Berti, Massimiliano; Haus, Emanuele; Montalto, Riccardo
2018
$$W^{2,2}$$-solvability of the Dirichlet problem for a class of elliptic equations with discontinuous coefficients. Zbl 1395.35084
Giannetti, Flavia; Moscariello, Gioconda
2018
A Morse index invariant reduction of non-equilibrium thermodynamics. Zbl 1393.35244
Cardin, Franco; Masci, Leonardo
2018
Stochastic heat equations with values in a Riemannian manifold. Zbl 1391.60160
Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan
2018
Influence of diffusion on the stability of a full Brusselator model. Zbl 1409.35113
Capone, Florinda; De Luca, Roberta; Torcicollo, Isabella
2018
An application of the value distribution theory for semi-abelian varieties to problems of Ax-Lindemann and Manin-Mumford types. Zbl 1439.11180
Noguchi, Junjiro
2018
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
2017
Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2017
...and 541 more Documents
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### Cited by 3,560 Authors

 28 Rionero, Salvatore 24 Da Prato, Giuseppe 21 Punzo, Fabio 20 Papageorgiou, Nikolaos S. 19 Mingione, Giuseppe 19 Wang, Zhi-Qiang 18 Boccardo, Lucio 18 De Luca, Roberta 18 Rădulescu, Vicenţiu D. 17 Ballico, Edoardo 16 Capone, Florinda 16 Vespri, Vincenzo Riccardo 15 Ambrosio, Vincenzo 15 Maz’ya, Vladimir Gilelevich 15 Shaposhnikova, Tatiana A. 14 Repin, Sergeĭ Igorevich 14 Shoikhet, David 14 Vinti, Gianluca 13 Lin, Chang-Shou 13 Marcellini, Paolo 13 Molica Bisci, Giovanni 13 Qian, Tao 13 Srivastava, Anuj 12 Bauer, Martin 12 Dong, Hongjie 12 Giova, Raffaella 12 Gupta, Vijay 12 Metafune, Giorgio 12 Mugnai, Dimitri 12 Reich, Simeon 12 Sambucini, Anna Rita 12 Squassina, Marco 12 Wei, Juncheng 11 Amar, Micol 11 Angeloni, Laura 11 Berti, Massimiliano 11 Candeloro, Domenico 11 Colli, Pierluigi 11 Malchiodi, Andrea 11 Pucci, Patrizia 11 Repovš, Dušan D. 11 Su, Jiabao 11 Valdinoci, Enrico 11 Zannier, Umberto M. 10 Benci, Vieri 10 Bracci, Filippo 10 Bruveris, Martins 10 Cianchi, Andrea 10 Masser, David William 10 Sabadini, Irene 10 Schiattarella, Roberta 10 Tesei, Alberto 9 Brzeźniak, Zdzisław 9 Colombo, Fabrizio 9 Diaz Diaz, Jesus Ildefonso 9 Dimca, Alexandru 9 Duzaar, Frank 9 Giannetti, Flavia 9 Kuusi, Tuomo 9 Marano, Salvatore Angelo 9 Martinazzi, Luca 9 Mursaleen, Mohammad 9 Passarelli di Napoli, Antonia 9 Rossi, Julio Daniel 9 Scarpa, Luca 9 Secchi, Simone 9 Ukhlov, Alexander Dadar-Oolovich 9 Zhang, Binlin 8 Alberico, Angela 8 Chambolle, Antonin 8 Costarelli, Danilo 8 Dipierro, Serena 8 Eleuteri, Michela 8 Elin, Mark 8 Farroni, Fernando 8 Gol’dshtein, Vladimir Mikhailovich 8 Lee, Youngae 8 Montanari, Annamaria 8 Mosconi, Sunra J. N. 8 Nguyen, Hoai-Minh 8 Peng, Shuangjie 8 Porzio, Maria Michaela 8 Procesi, Michela 8 Sbordone, Carlo 8 Schmidt, Gunther 8 Shishkov, Andrey E. 8 Sprekels, Jürgen 8 Visintin, Augusto 8 Zubova, Maria N. 7 Aral, Ali 7 Battaglia, Luca 7 Beirão da Veiga, Lourenço 7 Bogachev, Vladimir Igorevich 7 Checcoli, Sara 7 Chlebicka, Iwona 7 Comi, Giovanni E. 7 Dassi, Franco 7 Di Fazio, Giuseppe 7 D’Onofrio, Luigi 7 Fiorenza, Alberto ...and 3,460 more Authors
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### Cited in 487 Journals

 153 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 130 Journal of Mathematical Analysis and Applications 127 Journal of Differential Equations 93 Calculus of Variations and Partial Differential Equations 74 Journal of Functional Analysis 65 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 54 Annali di Matematica Pura ed Applicata. Serie Quarta 52 Ricerche di Matematica 51 Proceedings of the American Mathematical Society 45 Advances in Mathematics 45 Transactions of the American Mathematical Society 41 NoDEA. Nonlinear Differential Equations and Applications 36 Archive for Rational Mechanics and Analysis 36 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 34 Discrete and Continuous Dynamical Systems 34 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 32 Mathematische Annalen 32 Journal of Mathematical Sciences (New York) 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 29 Communications on Pure and Applied Analysis 28 Journal of Mathematical Physics 26 Potential Analysis 25 The Journal of Geometric Analysis 25 Communications in Contemporary Mathematics 25 Journal of Evolution Equations 23 Nonlinear Analysis. Real World Applications 23 Mediterranean Journal of Mathematics 22 Milan Journal of Mathematics 21 Communications in Mathematical Physics 21 Communications in Partial Differential Equations 21 Advanced Nonlinear Studies 21 Advances in Nonlinear Analysis 20 Rendiconti del Seminario Matematico della Università di Padova 20 Journal of Elliptic and Parabolic Equations 19 Mathematische Zeitschrift 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Boundary Value Problems 18 Computer Methods in Applied Mechanics and Engineering 18 Journal of Algebra 18 SIAM Journal on Mathematical Analysis 18 Advances in Calculus of Variations 17 Applicable Analysis 17 Applied Mathematics and Computation 17 Manuscripta Mathematica 16 Annales de l’Institut Fourier 16 Rendiconti del Circolo Matemàtico di Palermo. Serie II 16 Journal of the European Mathematical Society (JEMS) 16 Bollettino dell’Unione Matematica Italiana 15 Applied Mathematics and Optimization 15 Duke Mathematical Journal 15 Journal of Number Theory 14 Computers & Mathematics with Applications 14 Journal d’Analyse Mathématique 14 Zeitschrift für Analysis und ihre Anwendungen 14 Complex Variables and Elliptic Equations 14 Discrete and Continuous Dynamical Systems. Series S 13 Mathematical Methods in the Applied Sciences 13 Nonlinearity 13 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 13 Journal of Elasticity 13 Topological Methods in Nonlinear Analysis 13 Journal of Function Spaces 12 Revista Matemática Iberoamericana 12 Stochastic Processes and their Applications 12 Journal of Dynamics and Differential Equations 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 11 Asymptotic Analysis 11 Journal of Fixed Point Theory and Applications 10 Israel Journal of Mathematics 10 Journal of Geometry and Physics 10 Mathematische Nachrichten 10 Meccanica 10 Acta Applicandae Mathematicae 10 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 10 Science China. Mathematics 9 Journal of Statistical Physics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Mathematics of Computation 9 Collectanea Mathematica 9 Journal für die Reine und Angewandte Mathematik 9 Continuum Mechanics and Thermodynamics 9 St. Petersburg Mathematical Journal 9 Journal of Convex Analysis 9 Annals of Mathematics. Second Series 9 Complex Analysis and Operator Theory 9 Analysis and Mathematical Physics 9 Nonlinear Analysis. Theory, Methods & Applications 8 Archiv der Mathematik 8 Results in Mathematics 8 Siberian Mathematical Journal 8 Physica D 8 Probability Theory and Related Fields 8 Forum Mathematicum 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Journal de Théorie des Nombres de Bordeaux 8 Journal of Mathematical Fluid Mechanics 8 Discrete and Continuous Dynamical Systems. Series B 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Rocky Mountain Journal of Mathematics 7 Acta Arithmetica ...and 387 more Journals
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### Cited in 62 Fields

 1,692 Partial differential equations (35-XX) 302 Calculus of variations and optimal control; optimization (49-XX) 259 Functional analysis (46-XX) 250 Operator theory (47-XX) 232 Algebraic geometry (14-XX) 219 Global analysis, analysis on manifolds (58-XX) 174 Probability theory and stochastic processes (60-XX) 173 Real functions (26-XX) 171 Number theory (11-XX) 170 Fluid mechanics (76-XX) 166 Differential geometry (53-XX) 163 Dynamical systems and ergodic theory (37-XX) 159 Mechanics of deformable solids (74-XX) 145 Ordinary differential equations (34-XX) 133 Functions of a complex variable (30-XX) 132 Numerical analysis (65-XX) 119 Several complex variables and analytic spaces (32-XX) 87 Measure and integration (28-XX) 75 Harmonic analysis on Euclidean spaces (42-XX) 74 Approximations and expansions (41-XX) 70 Quantum theory (81-XX) 67 Potential theory (31-XX) 61 Group theory and generalizations (20-XX) 61 Statistical mechanics, structure of matter (82-XX) 54 Biology and other natural sciences (92-XX) 45 Systems theory; control (93-XX) 43 Integral equations (45-XX) 42 Convex and discrete geometry (52-XX) 41 Combinatorics (05-XX) 40 Special functions (33-XX) 38 Topological groups, Lie groups (22-XX) 36 Computer science (68-XX) 36 Mechanics of particles and systems (70-XX) 36 Classical thermodynamics, heat transfer (80-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 29 Difference and functional equations (39-XX) 27 Information and communication theory, circuits (94-XX) 26 Mathematical logic and foundations (03-XX) 26 Abstract harmonic analysis (43-XX) 26 Optics, electromagnetic theory (78-XX) 23 Statistics (62-XX) 22 Nonassociative rings and algebras (17-XX) 19 History and biography (01-XX) 19 General topology (54-XX) 19 Manifolds and cell complexes (57-XX) 18 Geometry (51-XX) 17 Operations research, mathematical programming (90-XX) 16 Commutative algebra (13-XX) 16 Algebraic topology (55-XX) 14 Field theory and polynomials (12-XX) 12 Relativity and gravitational theory (83-XX) 11 Associative rings and algebras (16-XX) 11 Integral transforms, operational calculus (44-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Geophysics (86-XX) 8 General and overarching topics; collections (00-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 6 Sequences, series, summability (40-XX) 6 Astronomy and astrophysics (85-XX) 4 General algebraic systems (08-XX) 3 $$K$$-theory (19-XX) 2 Category theory; homological algebra (18-XX)