4 citations · 15 across the 13 of their papers we have counts for
14 papers
Fractional boundary Hardy inequality for the critical cases
Adimurthi, Prosenjit Roy, Vivek Sahu
We establish generalised fractional boundary Hardy-type inequality, in the spirit of Caffarelli-Kohn-Nirenberg inequality for different values of and on various domains in…
Exact and optimal controllability for scalar conservation laws with discontinuous flux
Adimurthi, Shyam Sundar Ghoshal
This paper describes the reachable set and resolves an optimal control problem for the scalar conservation laws with discontinuous flux. We give a necessary and sufficient criteria…
Single shock solution for non convex scalar conservation laws
Adimurthi, Shyam Sundar Ghoshal
In this paper we study the finite time emergence of one shock for the solution of scalar conservation laws in one space dimension with general flux f . We give a necessary and suff…
Positive solutions to a fractional equation with singular nonlinearity
Adimurthi, Jacques Giacomoni, Sanjiban Santra
In this paper, we study the positive solutions to the following singular and non local elliptic problem posed in a bounded and smooth domain , : % \begin{eqna…
Exact and optimal controllability for scalar conservation laws with discontinuous flux
Adimurthi, Shyam Sundar Ghoshal, Pierangelo Marcati
This paper deals with an optimal control problem and describes the reachable set for the scalar 1-D conservation laws with discontinuous flux. Regarding the optimal control problem…
Uniqueness of positive solutions of a -Laplace equation in a ball in with exponential nonlinearity
Adimurthi, Karthik A, Jacques Giacomoni
Let and be a bounded domain. Then by Trudinger-Moser embedding, is embedded in an Orlicz space consisting of exponential functions…