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The family index theorem and bifurcation of solutions of nonlinear elliptic bvp
Bifurcation Nonlinear Elliptic Boundary Value Problems Fredholm Maps Index Bundle J-homomorphism Family Index Theorem
2011/8/31
Abstract: We obtain some new criteria for bifurcation of solutions of general boundary value problems for nonlinear systems of elliptic partial differential equations which are rather different from t...
A New Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples
elliptic curves rank pythagorean triples
2011/2/28
The aim of this paper is to introduce a new family of elliptic curves in the form of y2 = x(x−a2)(x−b2) that have positive ranks. We first generate a list of pythagorean triples (a, b, c) ...
A new family of elliptic curves with positive ranks arising from the Heron triangles
Elliptic curves Ranks Torsion group Heron’s Triangle
2011/2/28
The aim of this paper is to introduce a new family of elliptic curves with positive ranks.
Entropy power inequality for a family of discrete random variables
Entropy power inequality family of discrete random variables
2011/1/17
It is known that the Entropy Power Inequality (EPI) always holds if the random variables have density. Not much work has been done to identify discrete distributions for which the inequality holds wit...
On the Cauchy problem of a two-component b-family equation
A two-component b-family equation well-posedness blow-up scenario
2011/2/25
In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato’s semigroup theory. Then, we ...
We examine the moduli space E = T of complex tori T( ) =C/L( ) where L( ) = const · 2( )L . We find that the Dedekind eta function furnishes a bridge between the euclidean and hyperbolic structur...
Differential Subordination Results for New Classes of the Family $ \mathcal{E}( \Phi, \Psi)$
Fractional calculus Subordination Hadamard product
2010/1/25
We define new classes of the family in a unit disk where the operator denotes the convolution or Hadamard product. Moreover, we establish some subordination results for these new classes.