Variational integrals of a class of nonhomogeneous \(\mathcal{A}\)-harmonic equations (Q1724767)
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scientific article; zbMATH DE number 7022903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational integrals of a class of nonhomogeneous \(\mathcal{A}\)-harmonic equations |
scientific article; zbMATH DE number 7022903 |
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Variational integrals of a class of nonhomogeneous \(\mathcal{A}\)-harmonic equations (English)
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14 February 2019
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Summary: We introduce a class of variational integrals whose Euler equations are nonhomogeneous \(\mathcal{A}\)-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 \(\mathcal{A}\)-harmonic equations by applying direct methods of the calculus of variations. Besides, we establish some interesting results on variational integrals.
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