Existence Results for Polyharmonic Boundary Value Problems in the Unit Ball

Here we study the polyharmonic nonlinear elliptic boundary value problem on the unit ball B in ℝn(n≥2)(−△)mu+g(⋅,u)=0, in B (in the sense of distributions) limx→ξ∈∂B(u(x)/(1−|x|2)m−1)=0(ξ). Under appropriate conditions related to a Kato class on the nonlinearity g(x,t), we give some existence result...

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Bibliographic Details
Main Authors: Sonia Ben Othman, Habib Mâagli, Malek Zribi
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2007/56981
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