• Title/Summary/Keyword: Positives radial solution

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POSITIVE RADIAL SOLUTIONS OF $DELTA U + LAMBDA F(U) 0$ ON ANNULUS

  • Bae, Soo-Hyun;Park, Sang-Don;Pahk, Dae-Hyeon
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.381-386
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    • 1996
  • We consider the behavior of positive radial solutions (or, briefly, pp.r.s.) of the equation $$ (1.1) ^\Delta u + \lambda f(u) = 0 in\Omega, _u = 0 on \partial\Omega, $$ where $\Omega = {x \in R^n$\mid$A < $\mid$x$\mid$ < B}$ is an annulus in $R^n, n \geq 2, \lambda > 0 and f \geq 0$ is superlinear in u and satisfies f(0) = 0.

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