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Sur la non-résolubilité du $p$-laplacien sur $R^n$

Gol'dshtein, Vladimir
•
Troyanov, Marc  
1998
Comptes Rendus Mathematique

In this note we prove the impossibility to solve the p-laplace equation $\Delta _p u + h = 0$ on $R^n$, $n \le p$ if the function $h$ has a non zero average.

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