Indian Institute of Technology Delhi

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19942026

most citedSLIM: Simultaneous Logic-in-Memory Computing Exploiting Bilayer Analog OxRAM Devices

1.5k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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47 papers · 1 filter

math.AP2025★ 4 cited

Normalized solutions to a Choquard equation involving mixed local and nonlocal operators

J. Giacomoni, Nidhi Nidhi, K. Sreenadh

In the present paper, we study the existence of normalized solutions for a Choquard type equation involving mixed diffusion type operators. We also provide regularity results of th…

math.AP2025

Extremizer Stability of Higher-order Hardy-Rellich inequalities for Baouendi--Grushin vector fields

Avas Banerjee, Riju Basak, Prasun Roychowdhury

In this paper, we improve the $L^{p}$ -Rellich and Hardy-Rellich inequalities in the setting of radial Baouendi-Grushin vector fields. We establish an identity relating the subcritica…

math.AP2024

Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group

Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir

In this article, we examine the general space-time fractional diffusion equation for left-invariant hypoelliptic homogeneous operators on graded Lie groups. Our study covers import…

math.AP2023★ 6 cited

Discrete Heat Equation with irregular thermal conductivity and tempered distributional data

Marianna Chatzakou, Aparajita Dasgupta, Michael Ruzhansky +1

In this paper, we consider a semi-classical version of the nonhomogeneous heat equation with singular time-dependent coefficients on the lattice $ℏ Z^{n}$ . We establish…

math.AP2022★ 8 cited

Choquard equation involving mixed local and nonlocal operators

Gurdev C. Anthal, Jacques Giacomoni, Konijeti Sreenadh

In this article, we study an elliptic problem involving an operator of mixed order with both local and nonlocal aspects and in the presence of critical nonlinearity of Hartree type…

math.AP2022★ 3 cited

Classification of radial solutions to $- Δ_{g} u = e^{u}$ on Riemannian models

Elvise Berchio, Alberto Ferrero, Debdip Ganguly +1

We provide a complete classification with respect to asymptotic behaviour, stability and intersections properties of radial smooth solutions to the equation $- Δ_{g} u = e^{u}$ on Riemann…

math.AP2022

Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space

Debdip Ganguly, Diksha Gupta, K. Sreenadh

The paper is concerned with positive solutions to problems of the type \begin{equation*} -Δ_{\mathbb{B}^N} u - λu = a(x) |u|^{p-1}\;u \, + \, f \, \;\;\text{in}\;\mathbb{B}^{N}, \q…

math.AP2022★ 2 cited

Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups

Arun Kumar Bhardwaj, Vishvesh Kumar, Shyam Swarup Mondal

Let $G$ be a compact Lie group. In this article, we investigate the Cauchy problem for a nonlinear wave equation with the viscoelastic damping on $G$ . More preciously, we investiga…

math.AP2022★ 1 cited

Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space

Debdip Ganguly, Prasun Roychowdhury

We prove an improved version of Poincaré-Hardy inequality in suitable subspaces of the Sobolev space on the hyperbolic space via Bessel pairs. As a consequence, we obtain a new Har…

math.AP2022★ 2 cited

A Choquard type equation with a singular absorption nonlinearity in two dimension

Gurdev Anthal, Jacques Giacomoni, Konijeti Sreenadh

In this article, we show the existence of a nonnegative solution to the singular problem $(\mc P_\la)$ posed in a bounded domain $Ω$ in $\mb R^2$ (see below). We achieve this by ap…

math.AP2022★ 8 cited

Fractional double phase Robin problem involving variable order-exponents and Logarithm-type nonlinearity

Reshmi Biswas, Anouar Bahrouni, Alessio Fiscella

In this paper, we study the existence of solutions for the new fractinal Robin equations with variable exponents. Moreover, we deal with the logarithm-type nonlinearity. In particu…

math.AP2021★ 5 cited

Quasilinear Choquard equations involving N-Laplacian and critical exponential nonlinearity

Reshmi Biswas, Sarika Goyal, K. Sreenadh

In the present paper, we study a class of quasilinear Choquard equations involving $N$ -Laplacian and the nonlinearity with the critical exponential growth. We discuss the existence…

math.AP2021

Three solutions for a fractional elliptic problem with asymmetric critical Choquard nonlinearity

Sushmita Rawat, K. Sreenadh

In this paper we study the existence and multiplicity of weak solutions for the following asymmetric nonlinear Choquard problem on fractional Laplacian: \begin{equation*} \begin{ar…

math.AP2021★ 6 cited

Multiple positive solutions for degenerate Kirchhoff equations with singular and Choquard nonlinearity

S. Rawat, K. Sreenadh

In this paper we study the existence, multiplicity and regularity of positive weak solutions for the following Kirchhoff-Choquard problem: \begin{equation*} \begin{array}{cc} \disp…

math.AP2021★ 14 cited

Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs

Elvise Berchio, Debdip Ganguly, Prasun Roychowdhury

We prove a family of Hardy-Rellich and Poincaré identities and inequalities on the hyperbolic space having, as particular cases, improved Hardy-Rellich, Rellich and second order Po…

math.AP2021★ 20 cited

Global regularity results for non-homogeneous growth fractional problems

Jacques Giacomoni, Deepak Kumar, K. Sreenadh

This article concerns with the global Hölder regularity of weak solutions to a class of problems involving the fractional $(p, q)$ -Laplacian, denoted by $(-Δ)^{s_1}_{p}+(-Δ)^{s_2}_{…

math.AP2021★ 9 cited

Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition

Reshmi Biswas, Sabri Bahrouni, Marcos L. Carvalho

We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity $f$ is a Carathéodory function satisfying some hypotheses whic…

math.AP2020

A qualitative study of (p,q) Singular parabolic equations: local existence, Sobolev regularity and asymptotic behaviour

Jacques Giacomoni, Deepak Kumar, K. Sreenadh

The purpose of the article is to study the existence, regularity, stabilization and blow up results of weak solution to the following parabolic $(p, q)$ -singular equation: \begin{eq…

math.AP2020

Sobolev and Hölder regularity results for some singular nonhomogeneous quasilinear problems

J. Giacomoni, Deepak Kumar, K. Sreenadh

This article deals with the study of the following singular quasilinear equation: \begin{equation*} (P) \left\{ \ -Δ_{p}u -Δ_{q}u = f(x) u^{-δ},\; u>0 \text{ in }\; \Om; \; u=0 \te…

math.AP2020★ 2 cited

Singular doubly nonlocal elliptic problems with Choquard type critical growth nonlinearities

Jacques Giacomoni, Divya Goel, K. Sreenadh

The theory of elliptic equations involving singular nonlinearities is well studied topic but the interaction of singular type nonlinearity with nonlocal nonlinearity in elliptic pr…

math.AP2020★ 1 cited

Unbalanced $(p, 2)$ -fractional problems with critical growth

Deepak Kumar, K. Sreenadh

We study the existence, multiplicity and regularity results of non-negative solutions of following doubly nonlocal problem: $$ (P_\la) \left\{ \begin{array}{lr}\ds \quad (-Δ)^{s_1}…

math.AP2019

Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights

R. Arora, J. Giacomoni, T. Mukherjee +1

In this work, we study the higher order Kirchhoff type Choquard equation $(K C)$ involving a critical exponential non-linearity and singular weights. We prove the existence of solut…

math.AP2019★ 1 cited

Regularity results on a class of doubly nonlocal problems