Behavior of positive radial solutions for quasilinear elliptic equations
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Date
2001
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Journal ISSN
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Publisher
AMER MATHEMATICAL SOC
Abstract
We establish a necessary and sufficient condition so that positive radial solutions to
-div(A(\delu\)delu) = f(u), in B-R(0) \ {0}, R > 0,
having an isolated singularity at x = 0, behave like a corresponding fundamental solution. Here, A : R \ {0} --> R and f : [0, infinity) --> [0, infinity) are continuous functions satisfying some mild growth restrictions.
-div(A(\delu\)delu) = f(u), in B-R(0) \ {0}, R > 0,
having an isolated singularity at x = 0, behave like a corresponding fundamental solution. Here, A : R \ {0} --> R and f : [0, infinity) --> [0, infinity) are continuous functions satisfying some mild growth restrictions.
Description
Keywords
behavior, radial solutions, singular solutions, supersolutions