Topological Methods in Nonlinear Analysis

Periodic solutions to nonlinear equations with oblique boundary conditions

Abstract

We study the existence of positive periodic solutions to nonlinear elliptic and parabolic equations with oblique and dynamical boundary conditions and non-local terms. The results are obtained through fixed point theory, topological degree methods and properties of related linear elliptic problems with natural boundary conditions and possibly non-symmetric principal part. As immediate consequences, we also obtain estimates on the principal eigenvalue for non-symmetric elliptic eigenvalue problems.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 40, Number 2 (2012), 225-243.

Dates
First available in Project Euclid: 21 April 2016

https://projecteuclid.org/euclid.tmna/1461259700

Mathematical Reviews number (MathSciNet)
MR3074464

Citation

Allergretto, Walter; Papini, Duccio. Periodic solutions to nonlinear equations with oblique boundary conditions. Topol. Methods Nonlinear Anal. 40 (2012), no. 2, 225--243. https://projecteuclid.org/euclid.tmna/1461259700

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