Gagliardo-Nirenberg-Sobolev inequalities on planar graphs

Published 14 Oct 2021 in math.DS | (2110.07212v1)

Abstract: 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.

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Maria J. Esteban

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