We extend two Sobolev type inequalities for balls to arbitrary smooth bounded domains. In the case of balls, one inequality is due to Brezis and Lieb and another is due to Escobar. The extension has been achieved by analyzing the asymptotic behaviour of solutions of certain semilinear Neumann problems
We consider a version of the fractional Sobolev inequality in domains and study whether the best con...
Abstract. We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-...
We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-up techniq...
We extend two Sobolev type inequalities for balls to arbitrary smooth bounded domains. In the case o...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a ...
A form of Sobolev inequalities for the symmetric gradient of vector-valued functions is proposed, wh...
AbstractA quantitative version of the standard Sobolev inequality, with sharp constant, for function...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
Abstract. We establish necessary conditions for the validity of Sobolev-Poincare type inequalities. ...
There are several generalizations of the classical theory of Sobolev spaces as they are necessary fo...
AbstractIn this paper we study the asymptotic behaviour of the constants in Sobolev inequalities in ...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
Introduction Motivation, Examples, Statements of Results It is well known that the Sobolev inequal...
It is shown that isoperimetric inequalities, relating measures and capacities, hold for all sets in ...
We consider a version of the fractional Sobolev inequality in domains and study whether the best con...
Abstract. We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-...
We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-up techniq...
We extend two Sobolev type inequalities for balls to arbitrary smooth bounded domains. In the case o...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a ...
A form of Sobolev inequalities for the symmetric gradient of vector-valued functions is proposed, wh...
AbstractA quantitative version of the standard Sobolev inequality, with sharp constant, for function...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
Abstract. We establish necessary conditions for the validity of Sobolev-Poincare type inequalities. ...
There are several generalizations of the classical theory of Sobolev spaces as they are necessary fo...
AbstractIn this paper we study the asymptotic behaviour of the constants in Sobolev inequalities in ...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
Introduction Motivation, Examples, Statements of Results It is well known that the Sobolev inequal...
It is shown that isoperimetric inequalities, relating measures and capacities, hold for all sets in ...
We consider a version of the fractional Sobolev inequality in domains and study whether the best con...
Abstract. We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-...
We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-up techniq...
DOI
Add to ORKG