Existence of a unique solution to an elliptic partial differential equation
The purpose of this article is to prove the existence of a unique classical solution to the quasilinear elliptic equation $-\nabla \cdot(a(u) \nabla u)=f$ for $\mathbf{x} \in \Omega$, which satisfies the condition that $u(\mathbf{x}_0)=u_0$ at a given point $\mathbf{x}_0 \in \Omega$, under the...
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| Format: | Article |
| Language: | English |
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Texas State University
2019-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/110/abstr.html |