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Barrier methods for critical exponent problems in geometric analysis and mathematical physics
Nonlinear elliptic equations geometric analysis Yamabe problem general relativity
2011/8/23
Abstract: We consider the design and analysis of numerical methods for approximating positive solutions to nonlinear geometric elliptic partial differential equations containing critical exponents. Th...
Critical Point Theory in Mathematics and in Mathematical Physics
Critical Point Theory Mathematics Mathematical Physics
2010/3/5
Critical Point Theory in Mathematics and in Mathematical Physics。
Functional self-similarity and renormalization group symmetry in mathematical physics
Functional self-similarity renormalization group symmetry mathematical physics
2010/11/1
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are...
Bogoliubov Renormalization Group and Symmetry of Solution in Mathematical Physics
Bogoliubov Renormalization Group Mathematical Physics
2010/11/2
Evolution of the concept known in the theoretical physics as the Renormalization Group (RG) is presented. The corresponding symmetry, that has been first introduced in QFT in mid-fifties, is a contin...