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.
Allegretto, W., Papini, D. (2012). Periodic solutions to nonlinear equations with oblique boundary conditions. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 40(2), 225-243.
Periodic solutions to nonlinear equations with oblique boundary conditions
PAPINI, DUCCIO
2012-01-01
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.
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https://hdl.handle.net/11365/23617
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