Abstract
We consider the application of the concept of nonlinear capacity induced by nonlinear operators to blow-up problems for various types of nonlinear partial differential equations involving equations with nonlocal nonlinearities.
Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.
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Capacity Induced by a Nonlinear Operator and Applications
1Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, BA27 AY, United Kingdom. E-mail: vag@maths.bath.ac.uk
2Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, via A. Valerio 12/1, 34127 Trieste, Italy. E-mail: mitidier@units.it
3Steklov Institute of Mathematics, Gubkina Str. 8, 119991 Moscow, Russia. E-mail: pokhozhaev@mi.ras.ru
Citation Information: Georgian Mathematical Journal. Volume 15, Issue 3, Pages 501–516, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2008.501, March 2010
Publication History:
- Received:
- 2008-02-28
- Published Online:
- 2010-03-10
Key words and phrases:: Nonlinear capacity; blow-up; nonlocal nonlinearity
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