Growth rate and existence of solutions to Dirichlet problems for prescribed mean curvature equations on unbounded domains
We prove growth rate estimates and existence of solutions to Dirichlet problems for prescribed mean curvature equation on unbounded domains inside the complement of a cone or a parabola like region in $mathbb{R}^n$ ($ngeq 2$). The existence results are proved using a modified Perron's meth...
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| Format: | Article |
| Language: | English |
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Texas State University
2008-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/24/abstr.html |