## Topological Methods in Nonlinear Analysis

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

#### Abstract

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.

#### Article information

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

Dates
First available in Project Euclid: 30 September 2016

https://projecteuclid.org/euclid.tmna/1475266370

Digital Object Identifier
doi:10.12775/TMNA.2016.034

Mathematical Reviews number (MathSciNet)
MR3561421

Zentralblatt MATH identifier
1368.58006

#### Citation

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. https://projecteuclid.org/euclid.tmna/1475266370

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