On Imbedding, Continuation and Approximation Theorems for Differentiable Functions of Several Variables

Lipschitz spaces on the surface of the unit sphere in Euclideann-space

“…Then feA(a;p, q) 9 Some of the results in this paper are contained in a paper of Heideman [7]. Heideman deals with a generalization of these notions.…”

“…For a brief historical survey of Lipschitz spaces, the reader is referred to the introduction in Taibleson [18] and to the papers of Nikolskii [9] and Peetre [10]. For this paper, the approach of two people stands out as being of significant importance.…”

Function spaces with dominating mixed smoothness

“…First spaces of this kind were defined by S. M. Nikol'skiȋ in [21] and [22]. He introduced the spaces of Sobolev type…”

On Existence Results for an Anisotropic Elliptic Equation of Kirchhoff-Type by a Monotonicity Method

“…p y is the Sobolev critical exponent for the embedding W [13] and [17]. Notice that p à is the critical exponent corresponding to the harmonic mean p 0 of the…”