On positive singular solutions for a class of nonhomogeneous p-Laplacian-like equations
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Date
1998
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Publisher
ACADEMIC PRESS INC
Abstract
We study the behavior of positive radial solutions to
-div(A(\del u\)del u) = f(u)
near an isolated singularity at x = 0. We give an a priori estimate of the order of such singularity without imposing any growth restriction on A orf, and classify the solutions under an asymptotic Serrin type condition for strongly nonhomogeneous (possibly unbounded) functions A. We also prove the existence of such solutions. (C) 1998 Academic Press.
-div(A(\del u\)del u) = f(u)
near an isolated singularity at x = 0. We give an a priori estimate of the order of such singularity without imposing any growth restriction on A orf, and classify the solutions under an asymptotic Serrin type condition for strongly nonhomogeneous (possibly unbounded) functions A. We also prove the existence of such solutions. (C) 1998 Academic Press.
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Keywords
ELLIPTIC-EQUATIONS, LOCAL BEHAVIOR