Existence of positive solutions for some polyharmonic nonlinear equations in ℝn

Habib Mâagli and Malek Zribi

Abstract and Applied Analysis, 2006, vol. 2006, issue 1

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.

Date: 2006
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https://doi.org/10.1155/AAA/2006/76582

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2006:y:2006:i:1:n:076582

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