Perturbation of the free boundary in elliptic problem with discontinuities
We study the discontinuous elliptic problem $$\displaylines{ -\Delta u = \lambda H(u-\mu ) \quad \text{in } \Omega,\cr u =h \quad \text{on }\partial \Omega, }$$ where $\Omega$ is a regular bounded domain of $\mathbb{R}^n$, $H$ is the Heaviside function, $\lambda, \mu$ are a positive real par...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/132/abstr.html |