Ujjal Das

activity

20182025

most citedOn the optimization of the first weighted eigenvalue

10 citations · 18 across the 13 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022★ 1 cited

On the fourth order semipositone problem in $R^{N}$

Nirjan Biswas, Ujjal Das, Abhishek Sarkar

For $N \geq 5$ and $a > 0$ , we consider the following semipositone problem \begin{align*} Δ^2 u= g(x)f_a(u) \text { in } \mathbb{R}^N, \, \text{ and } \, u \in \mathcal{D}^{2,2}(\mat…

math.AP2022

On the generalised Brezis-Nirenberg problem

T. V. Anoop, Ujjal Das

For $p \in (1, N)$ and a domain $Ω$ in $R^{N}$ , we study the following quasi-linear problem involving the critical growth: \begin{eqnarray*} -Δ_p u - μg|u|^{p-2}u = |u|^{p^{…

math.AP2022

The space of Hardy-weights for quasilinear equations: Maz'ya-type characterization and sufficient conditions for existence of minimizers

Ujjal Das, Yehuda Pinchover

Let $p \in (1, \infty)$ and $Ω \subset R^{N}$ be a domain. Let $A := (a_{ij}) \in L_{loc}^{\infty} (Ω; R^{N \times N})$ be a symmetric and locally uniformly posi…

On the fourth order semipositone problem in RN

On the generalised Brezis-Nirenberg problem

The space of Hardy-weights for quasilinear equations: Maz'ya-type characterization and sufficient conditions for existence of minimizers

On the fourth order semipositone problem in $R^{N}$