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arXiv · 1801.03447

Elliptic 1-Laplacian Equations with Dynamical Boundary Conditions

M. Latorre·S. Segura de León
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Abstract

This paper is concerned with an evolution problem having an elliptic equation involving the 1-Laplacian operator and a dynamical boundary condition. We apply nonlinear semigroup theory to obtain existence and uniqueness results as well as a comparison principle. Our main theorem shows that the solution we found is actually a strong solution. We also compare solutions with different data.

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M. Latorre, S. Segura de León. 2018-01-10. Elliptic 1-Laplacian Equations with Dynamical Boundary Conditions. https://arxiv.org/abs/1801.03447

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