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20162025
most citedInterior and boundary regularity results for strongly nonhomogeneous -fractional problems

3 citations · 15 across the 23 of their papers we have counts for

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Showing 2018 · math.APShow all

5 papers · 2 filters

math.AP2018

Critical growth elliptic problems with Choquard type nonlinearity:A survey

Tuhina Mukherjee, K. Sreenadh

This article deals with a survey of recent developments and results on Choquard equations where we focus on the existence and multiplicity of solutions of the partial differential…

math.AP2018

n-Kirchhoff Choquard equations with exponenetial nonlinearity

Rakesh Arora, Jacques Giacomoni, Tuhina Mukherjee +1

This article deals with the study of the following Kirchhoff equation with exponential nonlinearity of Choquard type (see below). We use the variational method in the light…

math.AP2018

A Global multiplicity result for a very singular critical nonlocal equation

J. Giacomoni, Tuhina Mukherjee, K. Sreenadh

In this article, we show the global multiplicity result for the following nonlocal singular problem \begin{equation*} (P_\la):\;\quad (-\De)^s u = u^{-q} + \la u^{{2^*_s}-1}, \quad…

math.AP2018

Coron problem for nonlocal equations invloving Choquard nonlinearity

Divya Goel, Vicentiu D. Radulescu, K. Sreenadh

We study the problem \[ -\De u = \left(\int_{\Om}\frac{|u(y)|^{2^*_μ}}{|x-y|^μ}dy\right)|u|^{2^*_μ-2}u, \; \text{in}\; \Om,\quad u = 0 \; \text{ on } \pa \Om , \] where $\Om$ is a…

math.AP2018

Existence of three positive solutions for a nonlocal singular dirichlet boundary problem

Jacques Giacomoni, Tuhina Mukherjee, Konijeti Sreenadh

In this article, we prove the existence of at least three positive solutions for the following nonlocal singular problem \begin{equation*} (P_\la)\left\{ \begin{split} (-\De)^su &=…