Symmetry and convexity of level sets of solutions to infinity Laplace's equation
We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical pro...
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| Format: | Article |
| Language: | English |
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Texas State University
1998-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/34/abstr.html |