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Variational Integrals of a Class of Nonhomogeneous -Harmonic Equations

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  • Guanfeng Li
  • Yong Wang
  • Gejun Bao

Abstract

We introduce a class of variational integrals whose Euler equations are nonhomogeneous -harmonic equations. We investigate the relationship between the minimization problem and the Euler equation and give a simple proof of the existence of some nonhomogeneous -harmonic equations by applying direct methods of the calculus of variations. Besides, we establish some interesting results on variational integrals.

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  • Guanfeng Li & Yong Wang & Gejun Bao, 2014. "Variational Integrals of a Class of Nonhomogeneous -Harmonic Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, February.
    • Handle: RePEc:hin:jnlaaa:697974
    DOI: 10.1155/2014/697974
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