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A Priori Estimates and Existence of Positive Solutions to Quasilinear Elliptic Equations in General Form |
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| Authors: | Wang Xujia |
| Abstract: | In this paper we prove the existence of a positive solution to the following superlinear elliptic Dirichlet problem, - Σ^n_{i,j=1}aij(x, u, Du)D_{ij}u = f(x, u, Du) in Ω, quad u = 0 on ∂Ω where f satisfies certain growth conditions. |
| Keywords: | Elliptic equation positive solution |
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