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

M.J. Lopez-Herrero

doi:10.3934/proc.2011.2011.1015

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2011, Volume 2011: 1015-1024. Doi: 10.3934/proc.2011.2011.1015 open access

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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: June 30, 2010

Revised: July 31, 2011

Published: August 2017

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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.

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