# zbMATH — the first resource for mathematics

## Gidas, Basilis

Compute Distance To:
 Author ID: gidas.basilis Published as: Gidas, Basilis; Gidas, B.
 Documents Indexed: 23 Publications since 1979
all top 5

#### Co-Authors

 9 single-authored 4 Spruck, Joel 3 Murúa, Alejandro E. 2 Caffarelli, Luis Ángel 2 Comets, Francis M. 2 Ni, Wei-Ming 2 Nirenberg, Louis 1 Almeida, Murilo P. 1 Carvalho Gomes, Fernando 1 Mumford, David Bryant 1 Robertson, Christopher A.
all top 5

#### Serials

 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Quarterly of Applied Mathematics 2 The Annals of Applied Probability 1 Journal of Statistical Physics 1 The Annals of Statistics 1 Probability Theory and Related Fields 1 Annals of Physics 1 Communications in Partial Differential Equations 1 IEEE Transactions on Pattern Analysis and Machine Intelligence
all top 5

#### Fields

 9 Partial differential equations (35-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 4 Computer science (68-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 2,930 times in 2,324 Documents Cited by Year
Symmetry and related properties via the maximum principle. Zbl 0425.35020
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1979
Global and local behavior of positive solutions of nonlinear elliptic equations. Zbl 0465.35003
Gidas, B.; Spruck, J.
1981
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085
Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel
1989
A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041
Gidas, B.; Spruck, J.
1981
Symmetry of positive solutions of nonlinear elliptic equations in $$\mathbb R^n$$. Zbl 0469.35052
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1981
Nonstationary Markov chains and convergence of the annealing algorithm. Zbl 0642.60049
Gidas, Basilis
1985
Stochastic models for generic images. Zbl 1159.68598
Mumford, David; Gidas, Basilis
2001
Symmetry properties and isolated singularities of positive solutions of nonlinear elliptic equations. Zbl 0444.35038
Gidas, Basilis
1980
Metropolis-type Monte Carlo simulation algorithms and simulated annealing. Zbl 0864.60062
Gidas, Basilis
1995
A variational method for estimating the parameters of MRF from complete or incomplete data. Zbl 0771.60091
Almeida, Murilo P.; Gidas, Basilis
1993
The Glimm-Jaffe-Spencer expansion for the classical boundary conditions and coexistence of phases in the $$\lambda\varphi^4_2$$ Euclidean (quantum) field theory. Zbl 0396.35080
Gidas, Basilis
1979
Consistency of maximum likelihood and pseudolikelihood estimators for Gibbs distribution. Zbl 0648.62099
Gidas, B.
1988
A renormalization group approach to image processing problems. Zbl 0709.68606
Gidas, Basilis
1989
Asymptotics of maximum likelihood estimators for the Curie-Weiss model. Zbl 0749.62018
Comets, Francis; Gidas, Basilis
1991
Parameter estimation for Gibbs distributions from partially observed data. Zbl 0742.60026
Comets, Francis; Gidas, Basilis
1992
The Langevin equation as a global minimization algorithm. Reprint of the 1986 hardback original. Zbl 1328.90112
Gidas, Basilis
1986
On multimeron solutions of the Yang-Mills equation. Zbl 0538.35070
Caffarelli, L.; Gidas, B.; Spruck, J.
1983
Stop consonants discrimination and clustering using nonlinear transformations and wavelets. Zbl 0895.62067
Gidas, Basilis; Murua, Alejandro
1996
Optimal transformations for prediction in continuous-time stochastic processes. Zbl 0931.60027
Gidas, B.; Murua, A.
1998
Stochastic models for generic images. Zbl 1159.68598
Mumford, David; Gidas, Basilis
2001
Optimal transformations for prediction in continuous-time stochastic processes. Zbl 0931.60027
Gidas, B.; Murua, A.
1998
Stop consonants discrimination and clustering using nonlinear transformations and wavelets. Zbl 0895.62067
Gidas, Basilis; Murua, Alejandro
1996
Metropolis-type Monte Carlo simulation algorithms and simulated annealing. Zbl 0864.60062
Gidas, Basilis
1995
A variational method for estimating the parameters of MRF from complete or incomplete data. Zbl 0771.60091
Almeida, Murilo P.; Gidas, Basilis
1993
Parameter estimation for Gibbs distributions from partially observed data. Zbl 0742.60026
Comets, Francis; Gidas, Basilis
1992
Asymptotics of maximum likelihood estimators for the Curie-Weiss model. Zbl 0749.62018
Comets, Francis; Gidas, Basilis
1991
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085
Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel
1989
A renormalization group approach to image processing problems. Zbl 0709.68606
Gidas, Basilis
1989
Consistency of maximum likelihood and pseudolikelihood estimators for Gibbs distribution. Zbl 0648.62099
Gidas, B.
1988
The Langevin equation as a global minimization algorithm. Reprint of the 1986 hardback original. Zbl 1328.90112
Gidas, Basilis
1986
Nonstationary Markov chains and convergence of the annealing algorithm. Zbl 0642.60049
Gidas, Basilis
1985
On multimeron solutions of the Yang-Mills equation. Zbl 0538.35070
Caffarelli, L.; Gidas, B.; Spruck, J.
1983
Global and local behavior of positive solutions of nonlinear elliptic equations. Zbl 0465.35003
Gidas, B.; Spruck, J.
1981
A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041
Gidas, B.; Spruck, J.
1981
Symmetry of positive solutions of nonlinear elliptic equations in $$\mathbb R^n$$. Zbl 0469.35052
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1981
Symmetry properties and isolated singularities of positive solutions of nonlinear elliptic equations. Zbl 0444.35038
Gidas, Basilis
1980
Symmetry and related properties via the maximum principle. Zbl 0425.35020
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1979
The Glimm-Jaffe-Spencer expansion for the classical boundary conditions and coexistence of phases in the $$\lambda\varphi^4_2$$ Euclidean (quantum) field theory. Zbl 0396.35080
Gidas, Basilis
1979
all top 5

#### Cited by 1,870 Authors

 50 Wei, Juncheng 28 Dancer, Edward Norman 27 Guo, Zongming 26 Byeon, Jaeyoung 24 Li, Congming 23 Dolbeault, Jean 23 Korman, Philip L. 23 Pacella, Filomena 23 Sciunzi, Berardino 22 Hebey, Emmanuel 22 Li, YanYan 22 Li, Yi 22 Lin, Chang-Shou 21 Grossi, Massimo 21 Véron, Laurent 20 Weth, Tobias 19 Musso, Monica 19 Ni, Wei-Ming 18 García-Melián, Jorge 18 Pistoia, Angela 18 Quaas, Alexander 18 Suzuki, Takashi 17 Souplet, Philippe 16 Esteban, Maria J. 15 Lei, Yutian 15 Poláčik, Peter 15 Reichel, Wolfgang 14 Bidaut-Veron, Marie-Françoise 14 Dai, Wei 14 Felmer, Patricio L. 14 Wang, Zhi-Qiang 13 Bandle, Catherine 13 Damascelli, Lucio 13 Harrabi, Abdellaziz 13 Montoro, Luigi 12 Berestycki, Henri 12 Chen, Wenxiong 12 Dávila, Juan 12 Guedes de Figueiredo, Djairo 12 Del Pino, Manuel A. 12 Druet, Olivier 12 Farina, Alberto 12 Li, Dongsheng 12 Merle, Frank 12 Peletier, Lambertus Adrianus 12 Peral Alonso, Ireneo 12 Yu, Xiaohui 11 Cao, Daomin 11 Castro, Alfonso 11 Gladiali, Francesca 11 Pardo, Rosa M. 11 Sirakov, Boyan Slavchev 11 Suárez, Antonio 11 Zhang, Lei 11 Zhu, Meijun 10 Dai, Qiuyi 10 Huang, Xiaotao 10 Lions, Pierre-Louis 10 Lu, Guozhen 10 Mitidieri, Enzo Luigi 10 Quittner, Pavol 10 Vétois, Jérôme 10 Wang, Lihe 10 Zhou, Feng 10 Zou, Wenming 9 Birindelli, Isabeau 9 Cerami, Giovanna 9 Chen, Huyuan 9 Filippucci, Roberta 9 García-Huidobro, Marta 9 Gazzola, Filippo 9 Kielhöfer, Hansjörg 9 Leung, Man Chun 9 Lin, Song-Sun 9 Peng, Shuangjie 9 Qin, Guolin 9 Raphael, Pierre 9 Shibata, Tetsutaro 9 Taliaferro, Steven D. 9 Villavert, John 9 Yanagida, Eiji 9 Yang, Jianfu 9 Yin, Jingxue 9 Zhu, Jiuyi 8 Bao, Jiguang 8 Chern, Jann-Long 8 Iturriaga, Leonelo 8 Ma, Li 8 Malchiodi, Andrea 8 Miyamoto, Yasuhito 8 Moroz, Vitaly 8 Rahal, Belgacem 8 Rey, Olivier 8 Sire, Yannick 8 Smoller, Joel Alan 8 Thizy, Pierre-Damien 8 Ubilla, Pedro 8 Yan, Shusen 8 Yang, Zuodong 8 Zhang, Zhengce ...and 1,770 more Authors
all top 5

#### Cited in 265 Serials

 235 Journal of Differential Equations 139 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 135 Journal of Mathematical Analysis and Applications 107 Calculus of Variations and Partial Differential Equations 79 Communications in Partial Differential Equations 67 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 64 Discrete and Continuous Dynamical Systems 64 Nonlinear Analysis. Theory, Methods & Applications 62 Archive for Rational Mechanics and Analysis 58 Proceedings of the American Mathematical Society 57 Journal of Functional Analysis 46 Transactions of the American Mathematical Society 40 Communications in Contemporary Mathematics 40 Communications on Pure and Applied Analysis 38 Communications in Mathematical Physics 37 Advanced Nonlinear Studies 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 Annali di Matematica Pura ed Applicata. Serie Quarta 32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 31 Duke Mathematical Journal 30 Advances in Mathematics 30 Mathematische Annalen 29 Applicable Analysis 21 NoDEA. Nonlinear Differential Equations and Applications 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Journal d’Analyse Mathématique 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Journal of Computational and Applied Mathematics 17 Mathematische Zeitschrift 15 Applied Mathematics Letters 14 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 14 Journal of the European Mathematical Society (JEMS) 14 Complex Variables and Elliptic Equations 13 Mathematical Methods in the Applied Sciences 13 Applied Mathematics and Computation 12 Rocky Mountain Journal of Mathematics 12 Science China. Mathematics 11 Proceedings of the Japan Academy. Series A 11 The Journal of Geometric Analysis 11 Mediterranean Journal of Mathematics 10 Journal of Dynamics and Differential Equations 9 Computers & Mathematics with Applications 9 Communications on Pure and Applied Mathematics 9 Mathematical Notes 9 Stochastic Processes and their Applications 9 Advances in Nonlinear Analysis 8 Bulletin of the Australian Mathematical Society 8 Manuscripta Mathematica 8 Revista Matemática Iberoamericana 8 Potential Analysis 8 Acta Mathematica Sinica. English Series 8 Milan Journal of Mathematics 8 Boundary Value Problems 7 Nonlinearity 7 Journal für die Reine und Angewandte Mathematik 7 Results in Mathematics 7 Zeitschrift für Analysis und ihre Anwendungen 7 Journal of Global Optimization 6 Journal of Mathematical Physics 6 Pacific Journal of Mathematics 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Mathematical and Computer Modelling 6 Topological Methods in Nonlinear Analysis 6 Applied and Computational Harmonic Analysis 6 Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Fixed Point Theory and Applications 5 Journal of Statistical Physics 5 Inventiones Mathematicae 5 Tohoku Mathematical Journal. Second Series 5 Physica D 5 Acta Mathematicae Applicatae Sinica. English Series 5 SIAM Journal on Mathematical Analysis 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Abstract and Applied Analysis 5 Journal of Inequalities and Applications 5 Annales Henri Poincaré 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series S 4 Israel Journal of Mathematics 4 Acta Mathematica 4 The Annals of Statistics 4 Indiana University Mathematics Journal 4 Kodai Mathematical Journal 4 Memoirs of the American Mathematical Society 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Applied Mathematics and Mechanics. (English Edition) 4 Science in China. Series A 4 European Journal of Applied Mathematics 4 The Annals of Applied Probability 4 Geometric and Functional Analysis. GAFA 4 Bulletin of the American Mathematical Society. New Series 4 Bernoulli 4 Journal of Evolution Equations 4 Advances in Calculus of Variations 3 Journal of Mathematical Biology 3 Journal of Geometry and Physics 3 Annales de l’Institut Fourier 3 Applied Mathematics and Optimization 3 Archiv der Mathematik ...and 165 more Serials
all top 5

#### Cited in 48 Fields

 2,011 Partial differential equations (35-XX) 213 Global analysis, analysis on manifolds (58-XX) 143 Differential geometry (53-XX) 130 Ordinary differential equations (34-XX) 97 Operator theory (47-XX) 76 Integral equations (45-XX) 61 Numerical analysis (65-XX) 61 Fluid mechanics (76-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 47 Probability theory and stochastic processes (60-XX) 42 Functional analysis (46-XX) 41 Biology and other natural sciences (92-XX) 39 Potential theory (31-XX) 35 Quantum theory (81-XX) 33 Dynamical systems and ergodic theory (37-XX) 31 Statistical mechanics, structure of matter (82-XX) 28 Statistics (62-XX) 27 Real functions (26-XX) 25 Operations research, mathematical programming (90-XX) 19 Computer science (68-XX) 15 Astronomy and astrophysics (85-XX) 14 Classical thermodynamics, heat transfer (80-XX) 14 Relativity and gravitational theory (83-XX) 11 Mechanics of deformable solids (74-XX) 9 Mechanics of particles and systems (70-XX) 9 Information and communication theory, circuits (94-XX) 8 Optics, electromagnetic theory (78-XX) 6 Functions of a complex variable (30-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)