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Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations

Boundary Value Problems volume 2007, Article number: 016407 (2007) | Download Citation

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Abstract

We consider the problem where is not identically zero. Under the condition that satisfies (H), we show that there exists such that the above-mentioned equation admits at least one solution for all. This extends the results of Laplace equation to the case of-Laplace equation.

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Affiliations

  1. Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Jiangsu, Nanjing, 210097, China

    • Zuodong Yang
    •  & Bing Xu

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Correspondence to Zuodong Yang.

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Elliptic Equation