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Existence of positive solutions for some polyharmonic nonlinear equations in ℝn

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  • Habib Mâagli
  • Malek Zribi

Abstract

We will study the following polyharmonic nonlinear elliptic equation (−∆) mu + f(‧, u) = 0 in ℝn, n > 2m. Under appropriate conditions on the nonlinearity f(x, t), related to a class of functions called m‐Green‐tight functions, we give some existence results for the above equation.

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Handle: RePEc:wly:jnlaaa:v:2006:y:2006:i:1:n:076582
DOI: 10.1155/AAA/2006/76582
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