Existence of positive solutions for some nonlinear parabolic equations in the half space
We prove the existence of positive solutions to the nonlinear parabolic equation $$ Delta u - frac{partial u}{partial t}=p(x,t)f(u) $$ in the half space $mathbb{R}^n_{+}$, $ngeq 2$, subject to Dirichlet boundary conditions. The function f is nonnegative continuous non-increasing, and the pote...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/143/abstr.html |