From the 2 of 12 linked papers with an AI index.
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Positive solutions to semipositone problems on Heisenberg group
Vikram Naik, Rohit Kumar
This article focuses on establishing a positive weak solution to a class of semipositone problems over the Heisenberg group . In particular, we are interested in the…
Characterizations of compactness and weighted eigenvalue problem associated with fractional Hardy-type inequalities
Ujjal Das, Rohit Kumar, Abhishek Sarkar
In this article, we consider the following fractional {Hardy-type} inequality: \begin{align} \label{Fractional Hardy_abst} \int_{\mathbb{R}^N} |w(x)||u(x)|^p \mathrm{d}x \leq C \in…
Fractional critical systems with mixed boundary conditions
R. Kumar, A. Ortega
In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions…
Global branching for semilinear fractional Laplace with sublinear nonlinearity
Jefferson Abrantes, Rohit Kumar, Abhishek Sarkar
This article investigates the existence, nonexistence, and multiplicity of positive solutions to the sublinear fractional elliptic problem . We begin by establishing seve…
On semipositone problems over for the fractional -Laplace operator
Nirjan Biswas, Rohit Kumar
For , and we find a positive solution to the following class of semipositone problems associated with the fractional -Laplace oper…
Higher order fractional weighted homogeneous spaces: characterization and finer embeddings
Nirjan Biswas, Rohit Kumar
In this article, for and , we establish an isometric isomorphism between the higher order fractio…