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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

Yavdat Il'yasov 1,

1. 

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

Received  July 2010 Revised  March 2011 Published  October 2011

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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