Sentence examples for properties of the functional from inspiring English sources
In this subsection, we will discuss the properties of the functional (I^_{varepsilon}).
At very high pressures, physical properties of the functional groups govern the adsorption of CO2.
In this section, we present some properties of the functional F, and we prove the existence of minimizer.
In this section, we first establish some properties of the functional I and then prove Theorem 1.1.
In this section, we present some properties of the functional F and prove the existence of a minimizer.
The existence and uniqueness of the operator follow from the properties of the functional and strict monotonicity of the mapping (see, e.g., [13]).
It is a standard procedure (see [10], Lemma 2.1) to prove the following properties of the functionals.
By Lemma 2.2 and the property of the functional ⟨·,·⟩ + α2 ⟨∇·, ∇·⟩, the conclusion holds.
By Lemma 2.2 and the property of the functional ⟨·, A·⟩ + α2⟨A·, A·⟩, the conclusion holds.
The next step is to consider the property of the functional I.
To begin with, we discuss the differentiable properties of the Lagrange functional associated with problem (3.1 - 3.3 3.1 - 3.3
