Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 55, No. 4, pp. 385-389 (1998)

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A Remark on the Uniqueness of Fundamental Solutions to the $p$-Laplacian Equation, $p>2$

Philippe Laurençot

Institut Elie Cartan - Nancy, Université de Nancy I,
BP 239, F-54506 Vand\oe uvre les Nancy cedex - FRANCE

Abstract: Uniqueness of fundamental solutions to the $p$-Laplacian equation is investigated in the class of nonnegative functions taking on their initial data in the sense of bounded measures.

Keywords: Degenerate parabolic equation; $p$-Laplacian; source-type solution; uniqueness.

Classification (MSC2000): 35K65

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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