Gagliardo-Nirenberg-Sobolev inequalities on planar graphs

Maria J. Esteban (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

In this paper we study a family of interpolation Gagliardo-Nirenberg-Sololev inequalities on planar graphs. We are interested in knowing when the best constants in the inequalities are achieved. We also analyse the set of solutions of the corresponding Euler-Lagrange equations.

Domaines: Systèmes dynamiques [math.DS]

Maria J. Esteban. Gagliardo-Nirenberg-Sobolev inequalities on planar graphs. Communications on Pure and Applied Analysis, 2022, 21 (6), pp.2101-2114. ⟨hal-03373982⟩