Variational integrals of a class of nonhomogeneous \(\mathcal{A}\)-harmonic equations
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.
scientific article; zbMATH DE number 7022903