# A topological approach to non-Archimedean Mathematics

@article{Benci2014ATA, title={A topological approach to non-Archimedean Mathematics}, author={Vieri Benci and Lorenzo Luperi Baglini}, journal={arXiv: Logic}, year={2014}, pages={17-40} }

Non-Archimedean mathematics (in particular, nonstandard analysis) allows to construct some useful models to study certain phenomena arising in PDE's; for example, it allows to construct generalized solutions of differential equations and variational problems that have no classical solution. In this paper we introduce certain notions of non-Archimedean mathematics (in particular, of nonstandard analysis) by means of an elementary topological approach; in particular, we construct non-Archimedean… CONTINUE READING

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## Generalized solutions of variational problems and applications

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