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arXiv · 2110.07212

Gagliardo-Nirenberg-Sobolev inequalities on planar graphs

Maria J. Esteban
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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. 2021-10-14. Gagliardo-Nirenberg-Sobolev inequalities on planar graphs. https://arxiv.org/abs/2110.07212

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