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Volume 3, Issue 3, Article 32 |
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An Inequality which Arises in the Absence of the Mountain Pass Geometry
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Authors: |
Radu Precup, |
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Keywords:
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Integral inequality, Mountain pass theorem, Laplacean, Boundary value problem, Sobolev space. |
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Date Received:
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08/02/01 |
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Date Accepted:
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18/02/02 |
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Subject Codes: |
26D10,58E05,35J65.
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Editors: |
Leslaw Gajek, |
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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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