On critical exponent for an elliptic equation with non-Lipschitz nonlinearity

Yavdat Il'yasov

doi:10.3934/proc.2011.2011.698

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2011, Volume 2011: 698-706. Doi: 10.3934/proc.2011.2011.698 open access

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On critical exponent for an elliptic equation with non-Lipschitz nonlinearity

Yavdat Il'yasov^1,

1.
Laboratoire de Mathématiques et Applications, Université de La Rochelle, 17042 La Rochelle

Received: July 2010

Revised: March 2011

Published: August 2017

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Abstract

This note deals with weak compact support solutions of an elliptic equation with autonomous non-Lipschitz nonlinearity. Using Pohozaev's identity and the spectral analysis with respect to the ber procedure a critical exponent corresponding to the problem is introduced.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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