2 papers
math.AP2024
Poincaré-Sobolev equations with the critical exponent and a potential in the hyperbolic space
Mousomi Bhakta, Debdip Ganguly, Diksha Gupta +1
On the hyperbolic space, we study a semilinear equation with non-autonomous nonlinearity having a critical Sobolev exponent. The Poincaré-Sobolev equation on the hyperbolic space e…
math.AP2024
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…