On the non-solvability of the p-laplacien on ℝn

Vladimir Gol'dshtein; Marc Troyanov

doi:10.1016/s0764-4442(98)80224-3

On the non-solvability of the p-laplacien on ℝⁿ

Vladimir Gol'dshtein, Marc Troyanov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this Note we prove the impossibility to solve the p-laplace equation Δ_pu + h = 0 on ℝⁿ, n ≤ p, if the function h has a non-zero average.

Original language	English
Pages (from-to)	1185-1187
Number of pages	3
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	326
Issue number	10
DOIs	https://doi.org/10.1016/s0764-4442(98)80224-3
State	Published - 1 Jan 1998

ASJC Scopus subject areas

General Mathematics

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10.1016/s0764-4442(98)80224-3

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title = "On the non-solvability of the p-laplacien on ℝn",

abstract = "In this Note we prove the impossibility to solve the p-laplace equation Δpu + h = 0 on ℝn, n ≤ p, if the function h has a non-zero average.",

author = "Vladimir Gol'dshtein and Marc Troyanov",

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doi = "10.1016/s0764-4442(98)80224-3",

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T1 - On the non-solvability of the p-laplacien on ℝn

AU - Gol'dshtein, Vladimir

AU - Troyanov, Marc

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Y1 - 1998/1/1

N2 - In this Note we prove the impossibility to solve the p-laplace equation Δpu + h = 0 on ℝn, n ≤ p, if the function h has a non-zero average.

AB - In this Note we prove the impossibility to solve the p-laplace equation Δpu + h = 0 on ℝn, n ≤ p, if the function h has a non-zero average.

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U2 - 10.1016/s0764-4442(98)80224-3

DO - 10.1016/s0764-4442(98)80224-3

M3 - Article

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SN - 0764-4442

VL - 326

SP - 1185

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 10

ER -

On the non-solvability of the p-laplacien on ℝⁿ

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