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

Pages: 1015 - 1024, Issue Special, September 2011

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M.J. Lopez-Herrero - School of Statistics, Complutense University of Madrid, Madrid 28040, Spain (email)

Abstract: 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

Received: July 2010;      Revised: August 2011;      Published: October 2011.