Kaushik Bal

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math.AP2023

Ground state solutions for quasilinear Schrodinger type equation involving anisotropic p-laplacian

Kaushik Bal, Sanjit Biswas

This paper is concerned with the existence of a nonnegative ground state solution of the following quasilinear Schrödinger equation \begin{equation*} \begin{split} -Δ_{H,p}u+V(x)|u…

math.AP2023

On the singular problem involving $g$ -Laplacian

Kaushik Bal, Riddhi Mishra, Kaushik Mohanta

In this paper, we show that the existence of a positive weak solution to the equation $(-Δ_g)^s u=f u^{-q(x)}\;\mbox{in}\; Ω,$ where $Ω$ is a smooth bounded domain in $R^{N}$ , $q\in…

math.AP2023

Semilinear degenerate elliptic equation in the presence of singular nonlinearity

Kaushik Bal, Sanjit Biswas

Given $Ω (\subseteq R^{1 + m})$ , a smooth bounded domain and a nonnegative measurable function $f$ defined on $Ω$ with suitable summability. In this paper, we will study the existenc…

Ground state solutions for quasilinear Schrodinger type equation involving anisotropic p-laplacian

On the singular problem involving g-Laplacian

Semilinear degenerate elliptic equation in the presence of singular nonlinearity

On the singular problem involving $g$ -Laplacian