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

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2011, 2011(Special): 698-706. doi: 10.3934/proc.2011.2011.698

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

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

Received July 2010 Revised March 2011 Published October 2011

Abstract
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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.

Keywords: Pohozaev's identity, Compact support solution, ber analysis.

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

Citation: Yavdat Il'yasov. On critical exponent for an elliptic equation with non-Lipschitz nonlinearity. Conference Publications, 2011, 2011 (Special) : 698-706. doi: 10.3934/proc.2011.2011.698

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