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math.AP2025
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…
math.AP2025
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 sever…
math.AP2025
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…