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Existence and approximation of solutions for a class of degenerate elliptic equations with Neumann boundary condition

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DataCite Commons2021-02-18 更新2025-04-16 收录
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http://siba-ese.unisalento.it/index.php/notemat/article/view/23508/19689
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资源简介:
In this work we study the equation $Lu=f$, where $L$ is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set ${\Omega}$. We prove the existence and uniqueness of weak solutions in the weighted Sobolev space ${\mathrm{W}}^{1,2}(\Omega , \omega)$ for the Neumann problem. The main result establishes that a weak solution of degenerate elliptic equations can be approximated by a sequence of solutions for non-degenerate elliptic equations
提供机构:
University of Salento
创建时间:
2021-02-18
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