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An Inequality which Arises in the Absence of the Mountain Pass Geometry  
 
  Authors: Radu Precup,  
  Keywords: Integral inequality, Mountain pass theorem, Laplacean, Boundary value problem, Sobolev space.  
  Date Received: 08/02/01  
  Date Accepted: 18/02/02  
  Subject Codes:

26D10,58E05,35J65.

 
  Editors: Leslaw Gajek,  
 
  Abstract:

An integral inequality is deduced from the negation of the geometrical condition in the bounded mountain pass theorem of Schechter, in a situation where this theorem does not apply. Also two localization results of non-zero solutions to a superlinear boundary value problem are established.;



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