Showing 2020Show all
3 papers · 1 filter
math.AP2020
A parabolic problem involving -Laplacian, a power and a singular nonlinearity
Akasmika Panda, Debajyoti Choudhuri, Kamel Saoudi
The purpose of this paper is to study nonlinear singular parabolic equations with - Laplacian. Precisely, we consider the following problem and discuss the existence of a non…
math.AP2020
Singular Fractional Choquard Equation with a Critical Nonlinearity and a Radon measure
Akasmika Panda, Debajyoti Choudhuri, Kamel Saoudi
This article concerns about the existence of a positive SOLA (Solutions Obtained as Limits of Approximations) for the following singular critical Choquard problem involving fractio…
math.AP2020
Existence of positive solutions for a singular elliptic problem with critical exponent and measure data
Akasmika Panda, Debajyoti Choudhuri, Ratan K. Giri
We prove the existence of a positive {\it SOLA (Solutions Obtained as Limits of Approximations)} to the following PDE involving fractional power of Laplacian \begin{equation} \begi…