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Existence, symmetry and regularity of ground states of a non linear choquard equation in the hyperbolic space
Diksha Gupta, K. Sreenadh
In this paper, we explore the positive solutions of the following nonlinear Choquard equation involving the green kernel of the fractional operator in…
Existence and regularity results for space-time fractional integro-differential equation of Kirchhoff type with memory
Lalit Kumar, Sivaji Ganesh Sista, Konijeti Sreenadh
This paper analyses a Kirchhoff type quasilinear space-time fractional integro-differential equation with memory . Various a priori bounds are derived in diffe…
An elliptic problem involving critical Choquard and singular discontinuous nonlinearity
Gurdev C. Anthal, Jacques Giacomoni, Konijeti Sreenadh
The present article investigates the existence, multiplicity and regularity of weak solutions of problems involving a combination of critical Hartree type nonlinearity along with s…
Critical exponent Neumann problem with Hardy-Littlewood-Sobolev nonlinearity
Jacques Giacomoni, Sushmita Rawat, K. Sreenadh
In this article, we study the Brezis-Nirenberg type problem of nonlinear Choquard equation with Neumann boundary condition \begin{equation*} \begin{aligned} -Δu &= λα(x)u + \left(\…
Positive solutions for nonlinear Choquard equation with singular nonlinearity
Tuhina Mukherjee, Konijeti Sreenadh
In this article, we study the following nonlinear Choquard equation with singular nonlinearity \begin{equation*} \quad -\De u = \la u^{-q} + \left( \int_{\Om}\frac{|u|^{2^*_μ}}{|x-…