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Áreas de Interesse: 

• Equações diferenciais não-lineares

• Geometria diferencial

• Variedades de Calabi-Yau

• Física Matemática

Publicações:

• Papers:

- BOZHKOV, Y. D. ; FREIRE, I. L. . Conservations Laws for Critical Kohn-Laplace Equations on the Heisenberg Group, Journal of Nonlinear Mathematical Physics, 2008 - no prelo. -BOZHKOV, Y. D. . On the homogeneous Monge-Ampére equation. In: Progress in Nonlinear Analysis Research, Editor: Erik T. Hoffmann, pp. 65 - 71, New York: Nova Science Publishers, Inc., 2008 - no prelo. -  BOZHKOV, Y. D. ; MITIDIERI, E. . The Noether approach to Pokhozhaev's Identities, Mediterranean Journal of Mathematics, v. 4, 2007, pp. 383 - 405. - BOZHKOV, Y. D. ; FREIRE, I. L. . Group classification of semilinear Kohn-Laplace equations,  Nonlinear Analysis - Theory, Methods and Applications, 2007 - no prelo. - BOZHKOV, Y. D. ; FREIRE, I. L. . Divergence symmetries of critical Kohn-Laplace equations on Heisenberg groups, Differential Equations, 2007 - no prelo. - BOZHKOV, Y. D. ; MITIDIERI, E. . Lie symmetries and criticality of semilinear differential systems, SIGMA Symmetry, Integrability and Geometry: Methods and Applications, v. 3, 2007, 17 pp. (electronic) http://www.emis.de/journals/sigma/2005/paper022/ . - BOZHKOV, Y. D., Divergence symmetries of semilinear polyharmonic equations involving critical nonlinearities, Journal of Differential Equations, v. 225, 2006, pp. 666-684. http://www.elsevier.com/locate/jde - BOZHKOV, Y. D., Noether symmetries and critical exponents, SIGMA Symmetry, Integrability and Geometry: Methods and Applications, v. 1, 2005, 12 pp. (electronic) http://www.emis.de/journals/sigma/2005/paper022/ . - BOZHKOV, Y. D., MITIDIERI, E., Existence of multiple solutions for quasilinear equations via Fibering Method., 08/2005, Progress in Nonlinear Differential Equations and Their Applications, v. 66, 2005, pp.115-134. (A tribute to D.G. de Figueiredo on the occasion of his 70th birthday.) - SANTANA, L. A. R., BOZHKOV, Y. D., FERREIRA JR., W. C., Multiscale methods and survival criteria for diffusive species in stripped patterns, Applied Mathematics Research eXpress, Vol. 2005, Fac. 2, 2005, pp.11-37. - BOZHKOV, Y. D., MARTINS, A. C. G. Lie Point Symmetries of the Lane-Emden System. Journal of Mathematical Analysis and Applications, v.294, 2004, pp. 334-344. http://www.elsevier.com/locate/jmaa - SANTANA, L. A. R., BOZHKOV, Y. D., FERREIRA JR., W. C., Species survival versus eigenvalues. Abstract and Applied Analysis, v 2004:2, n. 2, 2004, pp. 115-131. http://aaa.hindawi.com - BOZHKOV, Y. D., MITIDIERI, E., Existence of multiple solutions for quasilinear systems via Fibering Method. Journal of Differential Equations. , v.190, 2003, p.239-267. http://www.elsevier.com/locate/jde - BOZHKOV, Y. D., MARTINS, A. C. G., Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents. Nonlinear Analysis - Theory, Methods and Applications, Vol. 57, Fac. 6, 2003, Vol. 57, Fac. 6, pp.773-793. http://www.elsevier.com/locate/na - BOZHKOV, Y. D., MARTINS, A. C. G., On the symmetry group of a differential equation and the Liouville-Gelfand Problem. Rendiconti dell'Istituto di Matematica dell'Università di Trieste. Trieste, v.39, 2002, pp.103-120. - MARÉNITCH, A., ANANIN, A., BOZHKOV, Y. D., A 3-esfera e seus familiares. O Fibrado de Hopf. Matemática Universitária, n.24/25, 1998, pp.10-25, - RODRIGUES JR, W. A., MAIORINO, J. E., BOZHKOV, Y. D. New solutions of the main realtivistic wave equations. Seminari di Geometria-Università di Bologna, v.'96-97, 1998, pp.10-25. - BOZHKOV, Y. D., A Liouville theorem for radial k-Hessian equations, Rendiconti di Matematica e delle sue Applicazioni, v.17, 1997, pp. 253-263. - BOZHKOV, Y. D., On a quasilinear system involving k-Hessian operators, Advances in Differential Equations, v.2, n.3, 1997, pp.403 - 426. - BOZHKOV, Y. D., On the complex structures and Hermitian metrics of certain three-folds, Seminari di Geometria-Università di Bologna, v.'94-95, 1996, pp. 47-52. - BOZHKOV, Y. D., RODRIGUES JR, W. A., Mass and energy in general relativity, General Relativity and Gravitation, v.27, n.8, 1995, pp. 813-819. - RODRIGUES JR, W. A., SOUZA, Q. A. G., BOZHKOV, Y. D., The mathematical structure of Newtonian spacetime: Classical Dynamics and Gravitation, Foundations of Physics, v.25, n.6, 1995, pp.871-924. - BOZHKOV, Y. D., The specific Hermitian geometry of certain three-folds, Rivista di Matematica della Università Di Parma, v.(5)4, 1995, pp. 61-68. - BOZHKOV, Y. D., The geometry of certain three-folds, Rendiconti dell'Istituto di Matematica dell'Università di Trieste, v.26, 1994, pp. 79-92. - BOZHKOV, Y. D., The axially symmetric non-rotating vacuum solutions of Rosen's field equations, General Relativity and Gravitation, v.23, n.10, 1991, pp. 1143-1150. - BOZHKOV, Y. D., A construction of almost anti-self-dual metrics on Kummer surfaces, Serdica - Bulgaricae Mathematicae Publicationes, v.14, 1988, pp. 283–290.

Orientações concluídas:

• Teses de doutorado:

1. Antonio Carlos Gilli Martins, Simetrias de Lie e soluções exatas de equções diferenciais quaselineares, 2002,  Universidade Estadual de Campinas - UNICAMP. 2. Luiz Antonio Ribeiro de Santana, Algumas considerações teóricas sobre a persistência de especies em meios heterogêneos, 2003, Universidade Estadual de Campinas - UNICAMP. 3. Norberto Anibal Maidana, Algumas aplicações das ondas viajantes a fenômenos biologicos, 2004, Universidade Estadual de Campinas - UNICAMP.

• Iniciação Científica:

1. Bianca Carla Kuli, Métodos Variacionais em Análise e Geometria, 1999. 2. Juliana Simões e Silva, Modelagem Matemática através de equações Diferenciais, 1999. 3. Ana Carolina Bartijotto Pascoalin, Estudo da Geometria dos Espaços Pseudo-Euclidianos, 1999 4. Melissa Tancredi Zanettini, Modelos do Universo, 2002. 5. Priscila Gonçalves de Oliveira, Métodos matemáticos da física, 2003. 6. Pamela de Paula Piovezan, Equações de Einstein, 2005.

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Professor visitante

- ICTP - International Centre for Theoretical Physics, Trieste - Italia

- Università di Trieste - Italia

- Università di Udine - Italia

- Università di Bologna - Italia

- University of Warwick - UK

- University of Cambridge - UK

- University of Oxford - UK

- University of Sofia "St. Kliment Ohridski" - Bulgaria

- JINR - Joint Institute for Nuclear Research, Dubná, Moscow region, - Russia

- MGU – Moscow State University “Lomonosov” - Russia

- Institute of Mathematics “Steklov”, Russian Academy of Sciences, Moscow - Russia

Endereços para contato:

e-mail: bozhkov@ime.unicamp.br

fone:  +55 19 3521-6015

fax: +55 19 3289-5766

Sala 315 - IMECC - UNICAMP