DOIAbstract
AbstractThe main results of this paper are new characterizations of W1,p(Ω), 1<p<∞, and BV(Ω) for Ω⊂RN an arbitrary open set. Using these results, we answer some open questions of Brezis (2002) [10] and Ponce (2004) [25]
AbstractThe main results of this paper are new characterizations of W1,p(Ω), 1<p<∞, and BV(Ω) for Ω⊂RN an arbitrary open set. Using these results, we answer some open questions of Brezis (2002) [10] and Ponce (2004) [25]
AbstractAn interesting criterion was given by Ponnusamy and Singh [S. Ponnusamy, V. Singh, Convoluti...
AbstractFor the L2-boundedness of the Hilbert transforms along variable curves Hϕ,γ(f)(x1,x2)= p.v. ...
AbstractBy making use of the well-known assertions in [S.S. Miller, P.T. Mocanu, Differential Subord...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
AbstractIn this paper we deal with the following mixed Dirichlet–Neumann elliptic problems(1){−div(|...
AbstractWe study the differentiability of very weak solutions v∈L1(Ω) of (v,L⋆φ)0=(f,φ)0 for all φ∈C...
AbstractLet Ω be a bounded smooth domain in Rn (n⩾3). This paper deals with a sharp form of Moser–Tr...
AbstractLet Ω⊂RN be a bounded smooth domain, 1<p<+∞, 0<δ<1, f:Ω¯×R→R be a C1 function with f(x,s)⩾0,...
AbstractIn this paper, we present some new characterizations of Sobolev spaces. Here is a typical re...
The domain D(δ) of a closed ∗-derivationδ in C(K) (K: a compact Hausdorff space) is a generalization...
AbstractSome embedding inequalities in Hardy–Sobolev spaces with weighted function |x|α are proved. ...
AbstractIn this paper, we study a class of Trudinger–Moser inequality associated to the embedding of...
AbstractIn this paper, the relations between Dp and Bnp, M(Dp) and Bnp are discussed by means of hig...
AbstractIn this paper, we discuss a subclass Vk(β,b,δ) of analytic functions, which was introduced a...
AbstractIn this paper we consider the multipoint boundary value problem for one-dimensional p-Laplac...
AbstractAn interesting criterion was given by Ponnusamy and Singh [S. Ponnusamy, V. Singh, Convoluti...
AbstractFor the L2-boundedness of the Hilbert transforms along variable curves Hϕ,γ(f)(x1,x2)= p.v. ...
AbstractBy making use of the well-known assertions in [S.S. Miller, P.T. Mocanu, Differential Subord...
AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-L...
AbstractIn this paper we deal with the following mixed Dirichlet–Neumann elliptic problems(1){−div(|...
AbstractWe study the differentiability of very weak solutions v∈L1(Ω) of (v,L⋆φ)0=(f,φ)0 for all φ∈C...
AbstractLet Ω be a bounded smooth domain in Rn (n⩾3). This paper deals with a sharp form of Moser–Tr...
AbstractLet Ω⊂RN be a bounded smooth domain, 1<p<+∞, 0<δ<1, f:Ω¯×R→R be a C1 function with f(x,s)⩾0,...
AbstractIn this paper, we present some new characterizations of Sobolev spaces. Here is a typical re...
The domain D(δ) of a closed ∗-derivationδ in C(K) (K: a compact Hausdorff space) is a generalization...
AbstractSome embedding inequalities in Hardy–Sobolev spaces with weighted function |x|α are proved. ...
AbstractIn this paper, we study a class of Trudinger–Moser inequality associated to the embedding of...
AbstractIn this paper, the relations between Dp and Bnp, M(Dp) and Bnp are discussed by means of hig...
AbstractIn this paper, we discuss a subclass Vk(β,b,δ) of analytic functions, which was introduced a...
AbstractIn this paper we consider the multipoint boundary value problem for one-dimensional p-Laplac...
AbstractAn interesting criterion was given by Ponnusamy and Singh [S. Ponnusamy, V. Singh, Convoluti...
AbstractFor the L2-boundedness of the Hilbert transforms along variable curves Hϕ,γ(f)(x1,x2)= p.v. ...
AbstractBy making use of the well-known assertions in [S.S. Miller, P.T. Mocanu, Differential Subord...
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