In this work we review some recent results conserning the existence problem of an extremal for the immersion W 1,p(x) 0 (Ω),→ L q(x) (Ω) in the critical range, i.e. A = {x ∈ Ω: q(x) = p ∗ (x)} 6= /0, where p ∗ (x) = N p(x)/(N − p(x)) is the critical Sobolev exponent.Fil: Fernandez Bonder, Julian. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentin
summary:We study different definitions of the first order variable exponent Sobolev space with zero ...
AbstractUsing the critical point theory, we investigate the existence and multiplicity of solutions ...
AbstractSufficient conditions for the existence of extremal functions in the trace Sobolev inequalit...
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponen...
AbstractIn this paper we study the Sobolev embedding theorem for variable exponent spaces with criti...
In this paper we study sufficient local conditions for the existence of non-trivial solution to a cr...
We study Sobolev embeddings in the Sobolev space W1,p(·) (Ω) with variable exponent satisfying 1 6 p...
We study Sobolev embeddings in the Sobolev space $W^{1,p(\cdot)}(\Omega)$ with variable exponent sa...
In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. ...
En esta tesis estudiamos el teorema de inmersión de Sobolev y el Teorema de Trazas de Sobolev para e...
Abstract. In this paper we study the Sobolev embedding theorem for variable exponent spaces with cri...
AbstractIn this paper we study the Sobolev embedding theorem for variable exponent spaces with criti...
We study the Poincaré inequality in Sobolev spaces with variable exponent. Under a rather mild and s...
AbstractIn this paper we investigate the solvability of the Neumann problem (1.1) involving the crit...
summary:We study different definitions of the first order variable exponent Sobolev space with zero ...
summary:We study different definitions of the first order variable exponent Sobolev space with zero ...
AbstractUsing the critical point theory, we investigate the existence and multiplicity of solutions ...
AbstractSufficient conditions for the existence of extremal functions in the trace Sobolev inequalit...
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponen...
AbstractIn this paper we study the Sobolev embedding theorem for variable exponent spaces with criti...
In this paper we study sufficient local conditions for the existence of non-trivial solution to a cr...
We study Sobolev embeddings in the Sobolev space W1,p(·) (Ω) with variable exponent satisfying 1 6 p...
We study Sobolev embeddings in the Sobolev space $W^{1,p(\cdot)}(\Omega)$ with variable exponent sa...
In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. ...
En esta tesis estudiamos el teorema de inmersión de Sobolev y el Teorema de Trazas de Sobolev para e...
Abstract. In this paper we study the Sobolev embedding theorem for variable exponent spaces with cri...
AbstractIn this paper we study the Sobolev embedding theorem for variable exponent spaces with criti...
We study the Poincaré inequality in Sobolev spaces with variable exponent. Under a rather mild and s...
AbstractIn this paper we investigate the solvability of the Neumann problem (1.1) involving the crit...
summary:We study different definitions of the first order variable exponent Sobolev space with zero ...
summary:We study different definitions of the first order variable exponent Sobolev space with zero ...
AbstractUsing the critical point theory, we investigate the existence and multiplicity of solutions ...
AbstractSufficient conditions for the existence of extremal functions in the trace Sobolev inequalit...