Topological Methods in Nonlinear Analysis

An existence result for a nonlinear boundary value problem via topological arguments

Khadijah Sharaf

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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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Topol. Methods Nonlinear Anal., Volume 48, Number 1 (2016), 31-43.

First available in Project Euclid: 30 September 2016

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Sharaf, Khadijah. An existence result for a nonlinear boundary value problem via topological arguments. Topol. Methods Nonlinear Anal. 48 (2016), no. 1, 31--43. doi:10.12775/TMNA.2016.034.

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