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Mathematical theory of billiards is a fascinating subject providing a fertile source of new problems as well as conjecture
testing in dynamics, geometry, mathematical physics and spectral
theory. Th...
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...