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arXiv · 2004.05564

New examples of Moser-Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry

Alfonso Romero·Rafael M. Rubio·Juan J. Salamanca
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Abstract

A family of nonlinear partial differential equations of divergence form is considered. Each one is the Euler-Lagrange equation of a natural Riemaniann variational problem of geometric interest. New uniqueness results for the entire solutions of these equations on a parabolic Riemaniann manifold of arbitrary dimension are given. In particular, several Moser-Bernstein type theorems are proved.

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Alfonso Romero, Rafael M. Rubio, Juan J. Salamanca. 2020-04-12. New examples of Moser-Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry. https://arxiv.org/abs/2004.05564

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