7 papers
The isocritical regime for mixed local-nonlocal Laplacian: existence of ground state, and decay estimates
Diksha Gupta, Shammi Malhotra, K. Sreenadh
We study the mixed local-nonlocal operator in the isocritical regime , i.e. , under which both operators beco…
Mixed Local-Nonlocal Equations in the Hyperbolic Space and Sharp Sobolev Constants
Diksha Gupta, Konijeti Sreenadh
This paper explores the existence of solutions to a class of nonlinear elliptic equations involving a mixed local-nonlocal operator of the form $-Δ_{\mathbb{B}^N} + (-Δ_{\mathbb{B}…
Global Compactness Result for a Brézis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator
Souptik Chakraborty, Diksha Gupta, Shammi Malhotra +1
This paper investigates the profile decomposition of Palais-Smale sequences associated with a Brezis-Nirenberg type problem involving a combination of mixed local nonlocal operator…
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…
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…
Global compactness result and multiplicity of solutions for a class of critical exponent problem in the hyperbolic space
Mousomi Bhakta, Debdip Ganguly, Diksha Gupta +1
This paper deals with the global compactness and multiplicity of positive solutions to problems of the type $$ -Δ_{\mathbb B^N} u -λu=a(x) |u|^{2^*-2}u+f(x) \quad\text{in } \mathbb…
On a class of elliptic equations with Critical Perturbations in the hyperbolic space
Debdip Ganguly, Diksha Gupta, K. Sreenadh
We study the existence and non-existence of positive solutions for the following class of nonlinear elliptic problems in the hyperbolic space $$ -Δ_{\mathbb{B}^N} u-λu=a(x)u^{p-1}…