2 papers
math.AP2022
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space
Debdip Ganguly, Diksha Gupta, K. Sreenadh
The paper is concerned with positive solutions to problems of the type \begin{equation*} -Δ_{\mathbb{B}^N} u - λu = a(x) |u|^{p-1}\;u \, + \, f \, \;\;\text{in}\;\mathbb{B}^{N}, \q…
math.AP2022
Existence of high energy positive solutions for a class of elliptic equations in the hyperbolic space
Debdip Ganguly, Diksha Gupta, K. Sreenadh
We study the existence of positive solutions for the following class of scalar field problem on the hyperbolic space $$ -Δ_{\mathbb{H}^N} u - λu = a(x) |u|^{p-1} \, u\;\;\text{in}\…