Sekhar Ghosh

activity

20172026

most citedMultiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity

45 citations · 96 across the 15 of their papers we have counts for

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Showing 2020Show all

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math.AP2020★ 1 cited

Existence of at least $k$ solutions to a fractional $p$ -Kirchhoff problem involving singularity and critical exponent

Sekhar Ghosh, Debajyoti Choudhuri, Alessio Fiscella

We study the existence of nonnegative solutions to the following nonlocal elliptic problem involving singularity \begin{align} \mathfrak{M}\left(\int_{Q}\frac{|u(x)-u(y)|^p}{|x-y|^…

math.AP2020★ 7 cited

Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

Sekhar Ghosh, Debajyoti Choudhuri, Ratan Kr. Giri

We prove the existence of infinitely many nonnegative solutions to the following nonlocal elliptic partial differential equation involving singularities \begin{align} (-Δ)_{p(\cdot…

Existence of at least k solutions to a fractional p-Kirchhoff problem involving singularity and critical exponent

Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

Existence of at least $k$ solutions to a fractional $p$ -Kirchhoff problem involving singularity and critical exponent