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Displaying similar documents to “Cylindrically symmetric Einstein-Maxwell and scalar fields and stiff fluid distributions”

Solutions for Toda systems on Riemann surfaces

Jiayu Li, Yuxiang Li (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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In this paper we study the solutions of Toda systems on Riemann surface in the critical case, proving a sufficient condition for existence.

Sharp L log α L inequalities for conjugate functions

Matts Essén, Daniel F. Shea, Charles S. Stanton (2002)

Annales de l’institut Fourier

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We give a method for constructing functions φ and ψ for which H ( x , y ) = φ ( x ) - ψ ( y ) has a specified subharmonic minorant h ( x , y ) . By a theorem of B. Cole, this procedure establishes integral mean inequalities for conjugate functions. We apply this method to deduce sharp inequalities for conjugates of functions in the class L log α L , for - 1 ≤ α < ∞ . In particular, the case α = 1 yields an improvement of Pichorides’ form of Zygmund’s classical inequality for the conjugates of functions in L log L . We also apply the method to produce a new...