Some nonexistence results for quasilinear PDE's

Evgeny Galakhov

doi:10.3934/cpaa.2007.6.141

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2007, Volume 6, Issue 1: 141-161. Doi: 10.3934/cpaa.2007.6.141

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Some nonexistence results for quasilinear PDE's

Evgeny Galakhov^1,

1.
Institut für Mathematik, Universitätsplatz 1, P.O. Box 18051, Rostock

Received: November 30, 2005

Revised: July 31, 2006

Published: February 2007

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Abstract

We establish nonexistence results for some quasilinear partial differential equations of elliptic, parabolis, and hyperbolic types using the nonlinear capacity method.

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Mathematics Subject Classification: Primary: 35J60, 35K55.

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