Non trivial solutions of non-linear partial differential inequations and order cut-off

We derive necessary conditions on the space dimension such that a class of partial differential inequations admit a non trivial solution. We show that a nontrivial solution γ(γ : IR^N → IR^k) of this type of inequations may exist only if the dimension N is sufficiently large with respect to the mini...

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Bibliographic Details
Main Authors: D. Blanchard, D. Fourdrinier
Format: Article
Language:English
Published: Sapienza Università Editrice 1999-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(1)/137-154.pdf