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Abstract
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We present a finite-dimensional reduction for a supercritical exponent PDE. We
reduce the existence of a solution of the problem
to finding a critical point of a function defined in some set
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Keywords
critical points, PDE with supercritical exponent,
finite-dimensional reduction
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Mathematical Subject Classification 2010
Primary: 35J60, 35J65, 58E05
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Milestones
Received: 16 October 2018
Revised: 21 February 2019
Accepted: 18 March 2019
Published: 2 August 2019
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