Second-order boundary estimate for the solution to infinity Laplace equations
In this article, we establish a second-order estimate for the solutions to the infinity Laplace equation $$ -\Delta_{\infty} u=b(x)g(u), \quad u>0, \quad x \in \Omega,\; u|_{\partial \Omega}=0, $$ where $\Omega$ is a bounded domain in $\mathbb{R}^N$, $g\in C^1((0,\infty),(0,\infty))$, $g$...
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Format: | Article |
Language: | English |
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Texas State University
2017-07-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2017/187/abstr.html |