Swarnendu Sil

activity

20172026

most citedLimiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients

15 citations · 54 across the 13 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.FA2017★ 6 cited

Calculus of Variations: A Differential Form Approach

Swarnendu Sil

We study integrals of the form $\int_{Ω} f (d ω_{1}, \dots, d ω_{m}),$ where $m \geq 1$ is a given integer, $1 \leq k_{i} \leq n$ are integers and $ω_{i}$ is a $(k_{i} - 1)$ -f…

math.FA2017★ 14 cited

On the best constant in {G}affney inequality

Gyula Csato, Bernard Dacorogna, Swarnendu Sil

We discuss the value of the best constant in Gaffney inequality namely $$ \lVert \nabla ω\rVert_{L^{2}}^{2}\leq C\left( \lVert dω\rVert_{L^{2}}^{2}+\lVert δω\rVert_{L^{2}% }^{2}+\l…

math.FA2017★ 1 cited

Notions of affinity in calculus of variations with differential forms

Saugata Bandyopadhyay, Swarnendu Sil

Ext-int.\ one affine functions are functions affine in the direction of one-divisible exterior forms, with respect to exterior product in one variable and with respect to interior…

math.FA2017★ 6 cited

Exterior convexity and classical calculus of variations

Saugata Bandyopadhyay, Swarnendu Sil

We study the relation between various notions of exterior convexity introduced in Bandyopadhyay-Dacorogna-Sil \cite{BDS1} with the classical notions of rank one convexity, quasicon…

math.FA2017★ 11 cited

Calculus of Variations with Differential Forms

Saugata Bandyopadhyay, Bernard Dacorogna, Swarnendu Sil

We study integrals of the form $\int_{Ω} f (d ω)$ , where $1 \leq k \leq n$ , $f : Λ^{k} \to R$ is continuous and $ω$ is a $(k - 1)$ -form. We introduce the…