Add to ORKGAbstract. In this paper we study the Sobolev Trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then we give local conditions on the exponents and on the domain (in the spirit of Adimurthy and Yadava) in order to satisfy such conditions, and therefore to ensure the existence of extremals. 1
Abstract. The trace space of W 1,p(·)(Rn × [0,∞)) consists of those functions on Rn that can be exte...
Abstract. In this paper we find estimates for the optimal constant in the critical Sobolev trace ine...
Abstract. In this paper we provide a proof of the Sobolev-Poincare ́ inequality for variable exponen...
AbstractIn this paper we study the Sobolev embedding theorem for variable exponent spaces with criti...
Abstract. In this paper we study the Sobolev embedding theorem for variable exponent spaces with cri...
Abstract. In this paper, we study the critical Sobolev embeddings W 1,p(x)(Ω) ⊂ Lp∗(x)(Ω) for varia...
AbstractSufficient conditions for the existence of extremal functions in the trace Sobolev inequalit...
In this paper some results about the maximal operator and the Sobolev spaces are presented, in the f...
Abstract. In this paper we study sufficient local conditions for the existence of non-trivial soluti...
In this paper we study the existence problem for extremals of the Sobolev trace inequality W 1,p(Ω) ...
In this article we provide an overview of several open problems in variable expo-nent spaces. The pr...
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponen...
Abstract. In this article a new method for moving from local to global results in vari-able exponent...
In this note we prove a trace theorem in fractional spaces with variable exponents. To be more preci...
We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuou...
Abstract. The trace space of W 1,p(·)(Rn × [0,∞)) consists of those functions on Rn that can be exte...
Abstract. In this paper we find estimates for the optimal constant in the critical Sobolev trace ine...
Abstract. In this paper we provide a proof of the Sobolev-Poincare ́ inequality for variable exponen...
AbstractIn this paper we study the Sobolev embedding theorem for variable exponent spaces with criti...
Abstract. In this paper we study the Sobolev embedding theorem for variable exponent spaces with cri...
Abstract. In this paper, we study the critical Sobolev embeddings W 1,p(x)(Ω) ⊂ Lp∗(x)(Ω) for varia...
AbstractSufficient conditions for the existence of extremal functions in the trace Sobolev inequalit...
In this paper some results about the maximal operator and the Sobolev spaces are presented, in the f...
Abstract. In this paper we study sufficient local conditions for the existence of non-trivial soluti...
In this paper we study the existence problem for extremals of the Sobolev trace inequality W 1,p(Ω) ...
In this article we provide an overview of several open problems in variable expo-nent spaces. The pr...
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponen...
Abstract. In this article a new method for moving from local to global results in vari-able exponent...
In this note we prove a trace theorem in fractional spaces with variable exponents. To be more preci...
We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuou...
Abstract. The trace space of W 1,p(·)(Rn × [0,∞)) consists of those functions on Rn that can be exte...
Abstract. In this paper we find estimates for the optimal constant in the critical Sobolev trace ine...
Abstract. In this paper we provide a proof of the Sobolev-Poincare ́ inequality for variable exponen...