3 papers
math.AP2026
On doubly critical polyharmonic double phase problems: Existence and non-existence of solutions
Ashutosh Dixit, Tuhina Mukherjee
In this article, we investigate the existence and nonexistence of weak solutions to higher-order doubly critical elliptic problems with weights, driven by a polyharmonic double pha…
math.AP2025
Non variational type critical growth nonlocal system
Ashutosh Dixit, Hichem Hajaiej, Tuhina Mukherjee
This study investigates the existence, uniqueness, and multiplicity of positive solutions for a system of fractional differential equations given by: \begin{equation*} (-Δ)^{s_i} u…
math.AP2024
Existence of normalized ground state solution to a mixed Schrödinger system in a plane
Ashutosh Dixit, Amin Esfahani, Hichem Hajaiej +1
In this paper, we establish the existence of positive ground state solutions for a class of mixed Schrödinger systems with concave-convex nonlinearities in , subject…