4 papers · 2 filters
Exceptional Boundary Sets for Solutions of Fully Nonlinear Parabolic PDEs
Ram Baran Verma, Mohan Mallick
This article investigates the exceptional set of the boundary for the following problem: \begin{equation*} \begin{aligned} -\frac{\partial u}{\partial t} + \mathcal{M}_{λ,Λ}^+(D^2u…
Regularity for Fully Nonlinear Elliptic Equations with Natural Growth in Gradient and Singular Nonlinearity
Mohan Mallick, Ram Baran Verma
In this article we consider the following boundary value problem \begin{equation*}\label{abs} \left\{ \begin{aligned} F(x,u,Du,D^{2}u)+c(x)u+ p(x)u^{-α}&=0~\text{in}~Ω\\ u&=0~~\tex…
Multiplicity results for fully nonlinear elliptic equations with natural gradient growth
Mohan Mallick, Ram Baran Verma
In this paper, we prove a theorem concerning the existence of three solutions for the following boundary value problem: \begin{equation*} -\mathcal{M}_{λ,Λ}^+(D^2u)-Γ|Du|^2=f(u)~~~…
Optimal harvesting for a logistic model with grazing
Mohan Mallick, Ardra A, Sarath Sasi
We consider semi-linear elliptic equations of the following form: \begin{equation*} \left\{ \begin{aligned} -Δu &= λ[u-\dfrac{u^2}{K}-c \dfrac{u^2}{1+u^2}-h(x) u]=:λf_h(u), \quad &…