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arXiv · 2309.05399

A Dirichlet inclusion problem on Finsler manifolds

Ágnes Mester·Károly Szilák
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Abstract

In this paper we study a Dirichlet-type differential inclusion involving the Finsler-Laplace operator on a complete Finsler manifold. Depending on the positive $\lambda$ parameter of the inclusion, we establish non-existence, as well as existence and multiplicity results by applying non-smooth variational methods. The main difficulties are given by the problem's highly nonlinear nature due to the general Finslerian setting, as well as the nonsmooth context.

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Ágnes Mester, Károly Szilák. 2023-09-11. A Dirichlet inclusion problem on Finsler manifolds. https://arxiv.org/abs/2309.05399

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