Riddhi Mishra

collaborators

4 papers

math.CA2026

On the measure of the boundary of a Hajłasz-Sobolev $(M^{1, p}, M^{1, q})$ -extension domain

Ryan Alvarado, Riddhi Mishra

We prove that the boundary of every bounded $(M^{1, p}, M^{1, q})$ -extension domain in a $Q$ -doubling metric measure space has measure zero whenever $0 < q < p < \infty$ , with the additiona…

math.FA2026

Sobolev extensions, interpolation inequalities and consequences

Rupert L. Frank, Pekka Koskela, Riddhi Mishra

We prove Sobolev interpolation inequalities on extension domains that have a form reminiscent of the corresponding whole-space inequalities. This form is crucial in certain applica…

math.FA2026

How to recognise extension domains

Riddhi Mishra, Kaushik Mohanta

Let $Ω \subset R^{n}$ be a bounded domain and $1 < p < \infty$ . We prove that there is a bounded extension operator $W ˙^{1, p} (Ω) \to W ˙^{1, p} (R^{n})$ if and o…

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…

On the measure of the boundary of a Hajłasz-Sobolev (M1,p,M1,q)-extension domain

Sobolev extensions, interpolation inequalities and consequences

How to recognise extension domains

On the singular problem involving g-Laplacian

On the measure of the boundary of a Hajłasz-Sobolev $(M^{1, p}, M^{1, q})$ -extension domain

On the singular problem involving $g$ -Laplacian