Anisotropic singularity of solutions to elliptic equations in a measure framework
In this article we study the weak solutions of elliptic equation $$\displaylines{ -\Delta u=2\frac{\partial \delta_0}{\partial \nu }\quad \text{in }\Omega,\cr u=0\quad \text{on }\partial\Omega, }$$ where $\Omega$ is an open bounded $C^2$ domain of $\mathbb{R}^N$ with $N\ge 2$ containing th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/230/abstr.html |