THE EXPONENTIAL PROPERTY OF SOLUTIONS BOUNDED FROM BELOW TO DEGENERATE EQUATIONS IN UNBOUNDED DOMAIN

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This paper is focused on studying the structure of solutions bounded from be-low to degenerate elliptic equations with Neumann and Dirichlet boundary conditions in unbounded domains.After establishing the weak maximum principles,the global bound-ary H(o)lder estimates and the boundary Harnack inequalities of the equations,we show that all solutions bounded from below are linear combinations of two special solutions (exponen-tial growth at one end and exponential decay at the other) with a bounded solution to the degenerate equations.
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