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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 -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 is a smooth bounded domain in , $q\in…
math.AP2023
Semilinear degenerate elliptic equation in the presence of singular nonlinearity
Kaushik Bal, Sanjit Biswas
Given , a smooth bounded domain and a nonnegative measurable function defined on with suitable summability. In this paper, we will study the existenc…