Regular and singular solutions of a quasilinear equation with weights
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Date
2001
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IOS PRESS
Abstract
In this article we study the behavior near 0 of the nonnegative solutions of the equation
-div(a(x)\ delu \ (p-2)delu) = b(x)\u \ (delta -1)u, x is an element of Omega\{0},
where Omega is a domain of R-N containing 0, and delta > p - 1 > 0, a, b are nonnegative weight functions. We give a complete classification of the solutions in the radial case, and punctual estimates in the nonradial one. We also consider the Dirichlet problem in Omega.
-div(a(x)\ delu \ (p-2)delu) = b(x)\u \ (delta -1)u, x is an element of Omega\{0},
where Omega is a domain of R-N containing 0, and delta > p - 1 > 0, a, b are nonnegative weight functions. We give a complete classification of the solutions in the radial case, and punctual estimates in the nonradial one. We also consider the Dirichlet problem in Omega.
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Keywords
ELLIPTIC-EQUATIONS, INEQUALITIES, BEHAVIOR