10 citations · 37 across the 21 of their papers we have counts for
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Critical fractional -Hardy Sobolev equations: Global compactness and multiplicity of positive solutions
Nirjan Biswas, Souptik Chakraborty, Debangana Mukherjee
We study the critical fractional -Hardy-Sobolev equation \begin{equation}\tag{}\label{a-main} (-Δ_p)^s u -μ\dfrac{|u|^{p-2}u}{|x|^{sp}}=\dfrac{|u|^{p^*_s(α)-2}u}{|x…
Regularity for the fractional logarithmic -Laplacian
Nirjan Biswas, Stuti Das, Abhrojyoti Sen
We prove the Harnack inequality (with tails) and local Hölder regularity for the fractional logarithmic -Laplace operator, which is derived by differentiating the fractional …
Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications
Mousomi Bhakta, Nirjan Biswas, Paramananda Das
In this paper, we consider the following mixed local nonlocal Brezis-Nirenberg problem \begin{equation}\label{crit_pro_abstract}\tag{} -Δu+(-Δ)^s u=λ|u|^{p-2}u+|…
Harnack inequality for mixed local-nonlocal weighted homogeneous equations
Nirjan Biswas, Stuti Das
We consider the following class of mixed local-nonlocal equations: \begin{equation}\tag{P}\label{eq:P} -Δ_p u + (-Δ)_p^s u = V |u|^{p-2}u \text{ in } Ω, \end{equation} where $s \in…
Global compactness results for fractional -Laplace Hardy Sobolev operator on a bounded domain
Nirjan Biswas
In this paper, we establish a Struwe type global compactness result for a class of nonlinear critical Hardy-Sobolev exponent problems driven by the fractional -Laplace Hardy-Sob…