AbstractWe present an abstract result concerning Poincaré inequalities in cones. Some examples in Sobolev spaces are provided. We also discuss an application to a priori bounds of solutions for a general boundary value problem involving the vector p-Laplacian operator
We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a ...
The goal of this paper is to extend Poincaré-Wirtinger inequalities from Sobolev spaces to spaces of...
This paper presents the proof of several inequalities by using the technique introduced by Alexandro...
Various Lp form Poincaré and Sobolev type inequalities are given for functions valued in a Banach ve...
In this work, we study the Poincare inequality in Sobolev spaces with variable exponent. As a conseq...
In this survey, we consider the sharp Sobolev inequality in convex cones. We also prove it by using ...
International audienceThe purpose of this note is to discuss how various Sobolev spaces defined on m...
Various Lp form Poincaré and Sobolev type inequalities, forward and reverse, are given involving Wid...
The aim of this paper is to prove an isoperimetric inequality relative to a convex domain in R^d int...
In this survey, we consider the sharp Sobolev inequality in convex cones. We also prove it by using ...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
AbstractIn this paper we give a systematic study of a class of linear inequalities related to convex...
AbstractWe obtain a new fixed point theorem in cone, which extend the Krasnosel’skii’s compression–e...
For bounded domains Ω, we prove that the Lp-norm of a regular function with compact support is contr...
We investigate the validity, as well as the failure, of Sobolev-type inequalities on Cartan-Hadamard...
We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a ...
The goal of this paper is to extend Poincaré-Wirtinger inequalities from Sobolev spaces to spaces of...
This paper presents the proof of several inequalities by using the technique introduced by Alexandro...
Various Lp form Poincaré and Sobolev type inequalities are given for functions valued in a Banach ve...
In this work, we study the Poincare inequality in Sobolev spaces with variable exponent. As a conseq...
In this survey, we consider the sharp Sobolev inequality in convex cones. We also prove it by using ...
International audienceThe purpose of this note is to discuss how various Sobolev spaces defined on m...
Various Lp form Poincaré and Sobolev type inequalities, forward and reverse, are given involving Wid...
The aim of this paper is to prove an isoperimetric inequality relative to a convex domain in R^d int...
In this survey, we consider the sharp Sobolev inequality in convex cones. We also prove it by using ...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
AbstractIn this paper we give a systematic study of a class of linear inequalities related to convex...
AbstractWe obtain a new fixed point theorem in cone, which extend the Krasnosel’skii’s compression–e...
For bounded domains Ω, we prove that the Lp-norm of a regular function with compact support is contr...
We investigate the validity, as well as the failure, of Sobolev-type inequalities on Cartan-Hadamard...
We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a ...
The goal of this paper is to extend Poincaré-Wirtinger inequalities from Sobolev spaces to spaces of...
This paper presents the proof of several inequalities by using the technique introduced by Alexandro...