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.
Citation
Walter Allergretto. Duccio Papini. "Periodic solutions to nonlinear equations with oblique boundary conditions." Topol. Methods Nonlinear Anal. 40 (2) 225 - 243, 2012.
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