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2011, 2011(Special): 1015-1024. doi: 10.3934/proc.2011.2011.1015

The existence of weak solutions for a general class of mixed boundary value problems

M.J. Lopez-Herrero 1,

1. 

School of Statistics, Complutense University of Madrid, Madrid 28040

Received  July 2010 Revised  August 2011 Published  October 2011

This paper shows the existence of weak solutions for a generalized class of boundary value problems with indefinite potentials which remain outside the general scope of the classical theorems of L. G a rding [3] and P. D. Lax and A. N. Milgram [6].
Keywords: Weak solutions, Mixed boundary conditions. Indefinite weights.
Mathematics Subject Classification: Primary: 35J25, 35D30; Secondary: 35J20.
Citation: M.J. Lopez-Herrero. The existence of weak solutions for a general class of mixed boundary value problems. Conference Publications, 2011, 2011 (Special) : 1015-1024. doi: 10.3934/proc.2011.2011.1015
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