Ghosh, Avirup; Mishra, Rohit(Cornell University Library, 2017-10)
The change in Holographic entanglement entropy (HEE) for small fluctuations about pure AdS are obtained by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal ...
Dwivedi, Gaurav(Indian Institute of Technology Gandhinagar, 2017)
The present work in the thesis deals with the existence and qualitative questions to biharmonic boundary value problems. More specifically, we establish the existence of solution to several type of biharmonic equations and ...
This article deals with the study of sign-changing solutions of the nonlinear singularly perturbed reaction-diffusion equation. Sign changing solutions of the nonlinear problem do not appear to have been previously studied ...
In this paper, we establish the existence of a positive solution to
{−M+λ,Λ(D2u)=μk(x)f(u)uα−ηh(x)uqu=0in Ωon ∂Ω,
{−Mλ,Λ+(D2u)=μk(x)f(u)uα−ηh(x)uqin Ωu=0on ∂Ω,
where ΩΩ is a smooth bounded domain in Rn, n≥1.Rn, n≥1. ...
Dixit, Atul; Glasser, M. Lawrence; Moll, Victor H.; Vignat, Christophe(SpringerOpen, 2017-07)
In 1998 Don Zagier introduced the modified Bernoulli numbers B∗nBn∗ and showed that they satisfy amusing variants of some properties of Bernoulli numbers. In particular, he studied the asymptotic behavior of B∗2nB2n∗, and ...
Berndt, Bruce C..; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru(American Mathematical Society, 2017-04)
Let $ r_k(n)$ denote the number of representations of the positive integer $ n$ as the sum of $ k$ squares. In 1934, the Russian mathematician A. I. Popov stated, but did not rigorously prove, a beautiful series transformation ...
Kour, Surjeet(Cornell University Library, 2017-01)
Let G be a finite group and M,N be two normal subgroups of G. Let AutMN(G) denote the group of all automorphisms of G which fix N element wise and act trivially on G/M. Let n be a positive integer. In this article we have ...