Variational Integrals of a Class of Nonhomogeneous -Harmonic Equations

Guanfeng Li, Yong Wang and Gejun Bao

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:697974

DOI: 10.1155/2014/697974

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