Boundary monotonicity formulae and applications to free boundary problems I: The elliptic case
We derive a monotonicity formula at boundary points for a class of nonlinear elliptic partial differential equations, including the obstacle problem case, quenching, a free boundary problem with Bernoulli-type free boundary condition as well as the blow-up case. As application model we prove - for D...
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| Format: | Article |
| Language: | English |
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Texas State University
2004-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/44/abstr.html |