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arXiv · 1410.4042

Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions

Djamel Ait Akli
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Abstract

This paper deals with an existence and uniqueness result of the weak solution for a quasilinear elliptic PDE with nonlinear Robin boundary conditions.This problem is defined on a domain whose boundary is the union of two disjoint surfaces.where a Dirichelet condition is prescribed on the exterior boundary and a nonlinear Robin condition on the interior one.To achieve that, we use the theory of monotone operators

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Djamel Ait Akli. 2015-07-05. Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions. https://arxiv.org/abs/1410.4042

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