9 papers
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--…
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…
Spectral Properties of the Logarithmic Laplacian with Indefinite Weights
Rakesh Arora, Tuhina Mukherjee, Arshi Vaishnavi
In this paper, we investigate a weighted eigenvalue problem driven by the Logarithmic Laplacian with indefinite weights. We prove the existence of an unbounded sequence of Lusterni…
On Coron problems with Choquard term and mixed operator
Jacques Giacomoni, Tuhina Mukherjee, Lovelesh Sharma
In this article, we study a Coron-type problem involving a critical Choquard nonlinearity driven by a mixed operator combining the Laplacian and fractional Laplacian. In annular-ty…
On the FuÄÃk spectrum of the Logarithmic Laplacian
Rakesh Arora, Tuhina Mukherjee
In this paper, we investigate the FuÄÃk spectrum associated with the logarithmic Laplacian. This spectrum is defined as the set of all pairs for…
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}…