ar X iv : 0 71 1 . 04 04 v 1 [ he p - th ] 2 N ov 2 00 7 Generalizations of Nonlinear and Supersymmetric Classical Electrodynamics

ar X iv : 0 71 1 . 09 04 v 1 [ m at h . A P ] 6 N ov 2 00 7 A continuous spectrum for nonhomogeneous differential operators in Orlicz - Sobolev spaces ∗

We study the nonlinear eigenvalue problem−div(a(|∇u|)∇u) = λ|u|q(x)−2u in Ω, u = 0 on ∂Ω, where Ω is a bounded open set in R with smooth boundary, q is a continuous function, and a is a nonhomogeneous potential. We establish sufficient conditions on a and q such that the above nonhomogeneous quasilinear problem has continuous families of eigenvalues. The proofs rely on elementary variational ar...

ar X iv : 0 71 1 . 32 82 v 1 [ he p - ph ] 2 1 N ov 2 00 7 Study of Pure Annihilation Decays B d , s → D 0 D 0

With heavy quark limit and hierarchy approximation λ QCD ≪ m D ≪ m B , we analyze the

ar X iv : h ep - t h / 02 11 04 8 v 1 7 N ov 2 00 2 Inflation , Quantum Cosmology and the Anthropic Principle 1

ar X iv : q ua nt - p h / 04 11 17 2 v 1 2 3 N ov 2 00 4 Information and Entropy in Quantum Theory

ar X iv : 0 70 7 . 40 06 v 1 [ he p - th ] 2 6 Ju l 2 00 7 Two - loop Gell - Mann – Low function of N = 1 supersymmetric

Two-loop Gell-Mann–Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives. Abstract Two-loop Gell-Mann–Low function is calculated for N=1 supersymmetric Yang– Mills theory, regularized by higher covariant derivatives. The integrals, which define it, are shown to be reduced to total derivatives and can be easily calculated analytically .