3 papers
math.AP2026
On polyharmonic Kirchhoff double phase problems without AR-conditions
Ashutosh Dixit, Tuhina Mukherjee
In this paper, we study a class of polyharmonic Kirchhoff problems driven by a double phase operator. The reaction term has subcritical growth but does not satisfy the Ambrosetti--…
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*} (-Î)^{s_i}…