Periodic solutions to nonlinear equations with oblique boundary conditions

Walter Allergretto, Duccio Papini


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.


Periodic solutions; oblique and dynamic boundary conditions; topological methods

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