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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
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A linear degenerate elliptic pde
I am having trouble solving a linear degenerate elliptic equation. The problem is as follows.
Let $U\subset \mathbb{R}^n$ be a bounded open set and $\omega:U\to\mathbb{R}$ is a $C^\infty$ function suc …