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## Shioji, Naoki

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 Author ID: shioji.naoki Published as: Shioji, N.; Shioji, Naoki External Links: ORCID
 Documents Indexed: 68 Publications since 1988
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#### Co-Authors

 18 single-authored 17 Hirano, Norimichi 13 Takahashi, Wataru 9 Watanabe, Kohtaro 3 Squassina, Marco 2 Georgescu, Paul 2 Saccon, Claudio 1 Atsushiba, Sachiko 1 Chen, Zhijie 1 Kurata, Kazuhiro 1 Lau, Anthony To-Ming 1 Mizuta, Yoshihiro 1 Mosconi, Sunra J. N. 1 Nishiura, Koji 1 Ohno, Takao 1 Rybicki, Sławomir Maciej 1 Satô, Kenzi 1 Secchi, Simone 1 Shimomura, Tetsu 1 Stefaniak, Piotr 1 Suzuki, Tomonari 1 Tanaka, Kazuyuki 1 Tanaka, Satoshi 1 Zou, Wenming
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#### Serials

 7 RIMS Kokyuroku 5 Journal of Mathematical Analysis and Applications 5 Proceedings of the American Mathematical Society 4 Journal of Differential Equations 4 Differential and Integral Equations 3 Calculus of Variations and Partial Differential Equations 3 Journal of Nonlinear and Convex Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Functional Analysis 2 Mathematica Japonica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Yokohama Mathematical Journal 2 Advances in Differential Equations 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Advanced Nonlinear Studies 2 Linear and Nonlinear Analysis 1 American Mathematical Monthly 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Archiv der Mathematik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Approximation Theory 1 Annals of Pure and Applied Logic 1 Asymptotic Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Communications in Analysis and Geometry 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Communications on Pure and Applied Analysis 1 Journal of Nonlinear and Variational Analysis
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#### Fields

 39 Partial differential equations (35-XX) 33 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Functional analysis (46-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Approximations and expansions (41-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

38 Publications have been cited 608 times in 529 Documents Cited by Year
Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces. Zbl 0888.47034
Shioji, Naoki; Takahashi, Wataru
1997
Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces. Zbl 0935.47039
Shioji, Naoki; Takahashi, Wataru
1998
Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287
Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki
2004
Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem. Zbl 1158.35044
Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki
2008
Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces. Zbl 0923.47038
Lau, Anthony To-Ming; Shioji, Naoki; Takahashi, Wataru
1999
Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces. Zbl 0932.47042
Shioji, Naoki; Takahashi, Wataru
1999
Contractive mappings, Kannan mappings and metric completeness. Zbl 0955.54009
Shioji, Naoki; Suzuki, Tomonari; Takahashi, Wataru
1998
A further generalization of the Knaster-Kuratowski-Mazurkiewicz theorem. Zbl 0768.47028
Shioji, Naoki
1991
Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the $$p(x)$$-Laplacian and its critical exponent. Zbl 1202.46034
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu; Shioji, Naoki
2010
A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces. Zbl 0940.47045
Shioji, Naoki; Takahashi, Wataru
1999
Fixed point theory in weak second-order arithmetic. Zbl 0711.03026
Shioji, Naoki; Tanaka, Kazuyuki
1990
A generalized Pohožaev identity and uniqueness of positive radial solutions of $$\Delta u+g(r)u+h(r)u^p=0$$. Zbl 1286.35007
Shioji, Naoki; Watanabe, Kohtaro
2013
Strong convergence theorems for continuous semigroups in Banach spaces. Zbl 0940.47047
Shioji, Naoki; Takahashi, Wataru
1999
Uniqueness and nondegeneracy of positive radial solutions of $$\operatorname{div}(\rho\nabla u)+\rho (-gu+hu^p)=0$$. Zbl 1342.35086
Shioji, Naoki; Watanabe, Kohtaro
2016
Compact embedding from $$W_0^{1,2}(\Omega)$$ to $$L^{q(x)}(\Omega )$$ and its application to nonlinear elliptic boundary value problem with variable critical exponent. Zbl 1151.46020
Kurata, Kazuhiro; Shioji, Naoki
2008
Existence of periodic solutions for nonlinear evolution equations with pseudo monotone operators. Zbl 0883.47051
Shioji, Naoki
1997
A multiplicity result including a sign-changing solution for an inhomogeneous Neumann problem with critical exponent. Zbl 1221.35148
Hirano, Norimichi; Shioji, Naoki
2007
Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems. Zbl 1082.47045
Hirano, Norimichi; Shioji, Naoki
2004
Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms. Zbl 1134.35054
Hirano, Norimichi; Shioji, Naoki
2006
Nonlocal problems at critical growth in contractible domains. Zbl 1333.35328
Mosconi, Sunra; Shioji, Naoki; Squassina, Marco
2015
Ground state and multiple solutions for a critical exponent problem. Zbl 1248.35060
Chen, Z.; Shioji, N.; Zou, W.
2012
Radial symmetry of positive solutions for semilinear elliptic equations in the unit ball via elliptic and hyperbolic geometry. Zbl 1237.35064
Shioji, Naoki; Watanabe, Kohtaro
2012
Multiple existence of solutions for coupled nonlinear Schrödinger equations. Zbl 1163.35485
Hirano, Norimichi; Shioji, Naoki
2008
Existence of positive solutions for singular Dirichlet problems. Zbl 1021.35031
Hirano, Norimichi; Shioji, Naoki
2001
Approximating common fixed points by the Mann iteration procedure in Banach spaces. Zbl 0992.47033
Atsushiba, Sachiko; Shioji, Naoki; Takahashi, Wataru
2000
Strong convergence theorems for asymptotically nonexpansive semigroups in Banach spaces. Zbl 0960.47034
Shioji, Naoki; Takahashi, Wataru
2000
Local existence theorems for nonlinear differential equations and compactness of integral solutions in $$L^ p(0,T;X)$$. Zbl 0874.47021
Shioji, Naoki
1996
Fan’s theorem concerning systems of convex inequalities and its applications. Zbl 0724.90083
Shioji, Naoki; Takahashi, Wataru
1988
Rabinowitz alternative for non-cooperative elliptic systems on geodesic balls. Zbl 1404.35140
Rybicki, Sławomir; Shioji, Naoki; Stefaniak, Piotr
2018
Coron problem for fractional equations. Zbl 1363.35371
Secchi, Simone; Shioji, Naoki; Squassina, Marco
2015
Radial symmetry of $$n$$-mode positive solutions for semilinear elliptic equations in a disc and its application to the Hénon equation. Zbl 1375.35204
Shioji, Naoki; Watanabe, Kohtaro
2014
A multiplicity result including sign-changing solutions for a nonlinear elliptic problem in $$\mathbb{R}^N$$. Zbl 1136.35365
Hirano, Norimichi; Shioji, Naoki
2007
Periodic solutions for nonlinear evolution equations in Banach spaces. Zbl 1141.34334
Shioji, Naoki
1999
Uniqueness of positive solutions of Brezis-Nirenberg problems on $$\mathbb{H} ^n$$. Zbl 1334.35028
Shioji, Naoki; Watanabe, Kohtaro
2015
Existence of many nonradial positive solutions of the Hénon equation in $$R^{3}$$. Zbl 1319.35022
Shioji, Naoki
2015
Generation and characterization of nonlinear semigroups associated to semilinear evolution equations involving “generalized” dissipative operators. Zbl 1146.47037
Georgescu, Paul; Shioji, Naoki
2007
Non-collision periodic orbits with large time periods for a class of Keplerian-like potentials. Zbl 1042.37526
Hirano, Norimichi; Shioji, Naoki
2001
On uniformly convex functions and uniformly smooth functions. Zbl 0835.46067
Shioji, Naoki
1995
Rabinowitz alternative for non-cooperative elliptic systems on geodesic balls. Zbl 1404.35140
Rybicki, Sławomir; Shioji, Naoki; Stefaniak, Piotr
2018
Uniqueness and nondegeneracy of positive radial solutions of $$\operatorname{div}(\rho\nabla u)+\rho (-gu+hu^p)=0$$. Zbl 1342.35086
Shioji, Naoki; Watanabe, Kohtaro
2016
Nonlocal problems at critical growth in contractible domains. Zbl 1333.35328
Mosconi, Sunra; Shioji, Naoki; Squassina, Marco
2015
Coron problem for fractional equations. Zbl 1363.35371
Secchi, Simone; Shioji, Naoki; Squassina, Marco
2015
Uniqueness of positive solutions of Brezis-Nirenberg problems on $$\mathbb{H} ^n$$. Zbl 1334.35028
Shioji, Naoki; Watanabe, Kohtaro
2015
Existence of many nonradial positive solutions of the Hénon equation in $$R^{3}$$. Zbl 1319.35022
Shioji, Naoki
2015
Radial symmetry of $$n$$-mode positive solutions for semilinear elliptic equations in a disc and its application to the Hénon equation. Zbl 1375.35204
Shioji, Naoki; Watanabe, Kohtaro
2014
A generalized Pohožaev identity and uniqueness of positive radial solutions of $$\Delta u+g(r)u+h(r)u^p=0$$. Zbl 1286.35007
Shioji, Naoki; Watanabe, Kohtaro
2013
Ground state and multiple solutions for a critical exponent problem. Zbl 1248.35060
Chen, Z.; Shioji, N.; Zou, W.
2012
Radial symmetry of positive solutions for semilinear elliptic equations in the unit ball via elliptic and hyperbolic geometry. Zbl 1237.35064
Shioji, Naoki; Watanabe, Kohtaro
2012
Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the $$p(x)$$-Laplacian and its critical exponent. Zbl 1202.46034
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu; Shioji, Naoki
2010
Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem. Zbl 1158.35044
Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki
2008
Compact embedding from $$W_0^{1,2}(\Omega)$$ to $$L^{q(x)}(\Omega )$$ and its application to nonlinear elliptic boundary value problem with variable critical exponent. Zbl 1151.46020
Kurata, Kazuhiro; Shioji, Naoki
2008
Multiple existence of solutions for coupled nonlinear Schrödinger equations. Zbl 1163.35485
Hirano, Norimichi; Shioji, Naoki
2008
A multiplicity result including a sign-changing solution for an inhomogeneous Neumann problem with critical exponent. Zbl 1221.35148
Hirano, Norimichi; Shioji, Naoki
2007
A multiplicity result including sign-changing solutions for a nonlinear elliptic problem in $$\mathbb{R}^N$$. Zbl 1136.35365
Hirano, Norimichi; Shioji, Naoki
2007
Generation and characterization of nonlinear semigroups associated to semilinear evolution equations involving “generalized” dissipative operators. Zbl 1146.47037
Georgescu, Paul; Shioji, Naoki
2007
Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms. Zbl 1134.35054
Hirano, Norimichi; Shioji, Naoki
2006
Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Zbl 1387.35287
Hirano, Norimichi; Saccon, Claudio; Shioji, Naoki
2004
Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems. Zbl 1082.47045
Hirano, Norimichi; Shioji, Naoki
2004
Existence of positive solutions for singular Dirichlet problems. Zbl 1021.35031
Hirano, Norimichi; Shioji, Naoki
2001
Non-collision periodic orbits with large time periods for a class of Keplerian-like potentials. Zbl 1042.37526
Hirano, Norimichi; Shioji, Naoki
2001
Approximating common fixed points by the Mann iteration procedure in Banach spaces. Zbl 0992.47033
Atsushiba, Sachiko; Shioji, Naoki; Takahashi, Wataru
2000
Strong convergence theorems for asymptotically nonexpansive semigroups in Banach spaces. Zbl 0960.47034
Shioji, Naoki; Takahashi, Wataru
2000
Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces. Zbl 0923.47038
Lau, Anthony To-Ming; Shioji, Naoki; Takahashi, Wataru
1999
Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces. Zbl 0932.47042
Shioji, Naoki; Takahashi, Wataru
1999
A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces. Zbl 0940.47045
Shioji, Naoki; Takahashi, Wataru
1999
Strong convergence theorems for continuous semigroups in Banach spaces. Zbl 0940.47047
Shioji, Naoki; Takahashi, Wataru
1999
Periodic solutions for nonlinear evolution equations in Banach spaces. Zbl 1141.34334
Shioji, Naoki
1999
Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces. Zbl 0935.47039
Shioji, Naoki; Takahashi, Wataru
1998
Contractive mappings, Kannan mappings and metric completeness. Zbl 0955.54009
Shioji, Naoki; Suzuki, Tomonari; Takahashi, Wataru
1998
Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces. Zbl 0888.47034
Shioji, Naoki; Takahashi, Wataru
1997
Existence of periodic solutions for nonlinear evolution equations with pseudo monotone operators. Zbl 0883.47051
Shioji, Naoki
1997
Local existence theorems for nonlinear differential equations and compactness of integral solutions in $$L^ p(0,T;X)$$. Zbl 0874.47021
Shioji, Naoki
1996
On uniformly convex functions and uniformly smooth functions. Zbl 0835.46067
Shioji, Naoki
1995
A further generalization of the Knaster-Kuratowski-Mazurkiewicz theorem. Zbl 0768.47028
Shioji, Naoki
1991
Fixed point theory in weak second-order arithmetic. Zbl 0711.03026
Shioji, Naoki; Tanaka, Kazuyuki
1990
Fan’s theorem concerning systems of convex inequalities and its applications. Zbl 0724.90083
Shioji, Naoki; Takahashi, Wataru
1988
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#### Cited by 545 Authors

 17 Song, Yisheng 17 Suzuki, Tomonari 17 Takahashi, Wataru 15 Chang, Shih-Sen 15 Yao, Jen-Chih 14 Chen, Rudong 14 Xu, Hong-Kun 14 Yao, Yonghong 13 Shehu, Yekini 12 Ceng, Lu-Chuan 12 Chidume, Charles Ejike 12 Cholamjiak, Prasit 11 Shahzad, Naseer 11 Suantai, Suthep 10 Cho, Yeol Je 10 Liou, Yeongcheng 10 Shioji, Naoki 10 Zegeye, Habtu 9 Jung, Jong Soo 9 Marino, Giuseppe 9 Sreenadh, Konijeti 8 Saeidi, Shahram 7 Ali, Bashir 7 He, Songnian 7 Kim, Jong Kyu 6 Canino, Annamaria 6 Chan, Chi Kin 6 Kimura, Yasunori 6 Lee, H. W. Joseph 6 Mukherjee, Tuhina 6 Panyanak, Bancha 6 Papageorgiou, Nikolaos S. 6 Wangkeeree, Rabian 5 Chidume, C. O. 5 Faraci, Francesca 5 Giacomoni, Jacques 5 Kang, Shin Min 5 Kumam, Poom 5 Piri, Hossein 5 Plubtieng, Somyot 5 Saintier, Nicolas 5 Sciunzi, Berardino 5 Silva, Analía 5 Su, Yongfu 5 Vrabie, Ioan I. 5 Wen, Chingfeng 5 Yang, Li 4 Aoyama, Koji 4 Choudhury, Binayak Samadder 4 Dhompongsa, Sompong 4 Du, Wei-Shih 4 Eslamian, Mohammad 4 Fernández Bonder, Julián 4 He, Huimin 4 Kohlenbach, Ulrich Wilhelm 4 Latif, Abdul 4 Liao, Jiafeng 4 Lin, Lai-Jiu 4 Ofoedu, Eric U. 4 Petruşel, Adrian 4 Postolache, Mihai 4 Prashanth, S. 4 Saoudi, Kamel 4 Squassina, Marco 4 Ugwunnadi, Godwin Chidi 4 Watanabe, Kohtaro 3 Berinde, Vasile 3 Chen, Jianqing 3 Cho, Sun Young 3 Chuang, Chih-Sheng 3 Colao, Vittorio 3 Ding, Xie Ping 3 Garain, Prashanta 3 Goyal, Sarika 3 Hirano, Norimichi 3 Kim, Kyung-Soo 3 Kim, Kyungsoo 3 Lau, Anthony To-Ming 3 Lei, Chunyu 3 Maingé, Paul-Emile 3 Matsushita, Shin-Ya 3 da Silva Montenegro, Marcelo 3 Mukhamedov, Farruh Maksutovich 3 Nakajo, Kazuhide 3 Phuengrattana, Withun 3 Pillay, Paranjothi 3 Plebaniak, Robert 3 Preechasilp, Pakkapon 3 Růžička, Michael 3 Saburov, Mansoor 3 Smyrlis, George 3 Soori, Ebrahim 3 Sun, Yijing 3 Tanaka, Satoshi 3 Tang, Yan 3 Tiwari, Sweta 3 Wang, Shenghua 3 Wang, Xing 3 Wangkeeree, Rattanaporn 3 Włodarczyk, Kazimierz ...and 445 more Authors
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#### Cited in 119 Serials

 79 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Fixed Point Theory and Applications 46 Journal of Mathematical Analysis and Applications 20 Abstract and Applied Analysis 17 Applied Mathematics and Computation 13 Journal of Applied Mathematics 12 Journal of Inequalities and Applications 11 Proceedings of the American Mathematical Society 11 Journal of Nonlinear Science and Applications 10 Bulletin of the Australian Mathematical Society 10 Calculus of Variations and Partial Differential Equations 9 Computers & Mathematics with Applications 9 Journal of Differential Equations 8 Journal of Global Optimization 6 International Journal of Mathematics and Mathematical Sciences 6 Journal of Functional Analysis 6 Numerical Functional Analysis and Optimization 5 Communications in Contemporary Mathematics 5 Communications on Pure and Applied Analysis 5 Mediterranean Journal of Mathematics 5 Complex Variables and Elliptic Equations 5 Journal of Fixed Point Theory and Applications 4 Applied Mathematics and Mechanics. (English Edition) 4 Applied Mathematics Letters 4 Mathematical and Computer Modelling 4 Archive for Mathematical Logic 4 Journal of Applied Mathematics and Computing 4 Advances in Nonlinear Analysis 4 Journal of Function Spaces 3 Applicable Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Computational and Applied Mathematics 3 Optimization 3 Numerical Algorithms 3 NoDEA. Nonlinear Differential Equations and Applications 3 Vietnam Journal of Mathematics 3 Positivity 3 Acta Mathematica Sinica. English Series 3 Advanced Nonlinear Studies 3 Discrete and Continuous Dynamical Systems. Series S 3 Afrika Matematika 2 Israel Journal of Mathematics 2 Journal of Approximation Theory 2 Journal of Optimization Theory and Applications 2 The Journal of Symbolic Logic 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Annals of Pure and Applied Logic 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin des Sciences Mathématiques 2 Journal of Applied Analysis 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Difference Equations 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Optimization Letters 2 Asian-European Journal of Mathematics 2 ISRN Applied Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Demonstratio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Ergodic Theory and Dynamical Systems 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Asymptotic Analysis 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Indagationes Mathematicae. New Series 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 Top 1 The Bulletin of Symbolic Logic 1 Mathematical Problems in Engineering 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Journal of Mathematical Logic 1 Annales Henri Poincaré ...and 19 more Serials
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#### Cited in 29 Fields

 338 Operator theory (47-XX) 138 Partial differential equations (35-XX) 61 General topology (54-XX) 61 Numerical analysis (65-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 21 Ordinary differential equations (34-XX) 21 Functional analysis (46-XX) 19 Operations research, mathematical programming (90-XX) 15 Mathematical logic and foundations (03-XX) 13 Global analysis, analysis on manifolds (58-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Abstract harmonic analysis (43-XX) 5 Convex and discrete geometry (52-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Algebraic topology (55-XX) 3 Sequences, series, summability (40-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)