We consider the Dirichlet problem
in , on
where and f is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain . We obtain results concerning convexity of level sets and symmetry of solutions.
Submitted July 23, 1998. Published December 9, 1998.
Math Subject Classification: 35J70, 35B05.
Key Words: Infinity-Laplace equation, p-Laplace equation.
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| Edi Rosset |
Dipartimento di Scienze Matematiche
Universita degli Studi di Trieste
34100 Trieste, Italy