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AN EXISTENCE RESULT FOR A NONLINEAR BOUNDARY VALUE PROBLEM VIA TOPOLOGICAL ARGUMENTS
Journal article   Peer reviewed

AN EXISTENCE RESULT FOR A NONLINEAR BOUNDARY VALUE PROBLEM VIA TOPOLOGICAL ARGUMENTS

Khadijah Sharaf
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, Vol.48(1), pp.31-43
01/09/2016
DOI: https://doi.org/10.12775/TMNA.2016.034

Abstract

Mathematics Physical Sciences Science & Technology
We investigate a nonlinear PDE related to the prescribing mean curvature problem on the boundary of the unit ball. We use variational and topological methods to prove the existence of at least one solution when the function to be prescribed satisfies at its critical points a non-degeneracy condition.

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