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On the Existence of Solutions to a Class of $p$-Laplace Elliptic Equations  
 
  Authors: Hui-Mei He, Jian-Qing Chen,  
  Keywords: $p$-Laplace elliptic equations, Radial solutions, Nonradial solutions.  
  Date Received: 19/09/08  
  Date Accepted: 07/12/08  
  Subject Codes:

35J20.

  
  Editors: Catherine Bandle,  
 
  Abstract:

We study the equation $ -Delta_{p}u+ert xert^{a}ert uert^{p-2}u=ert xert^{b}ert uert^{q-2}u$ with Dirichlet boundary condition on $ B(0,R)$ or on $ mathbb{R}^{N}$. We prove the existence of the radial solution and nonradial solutions of this equation. ;


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