A sharp form of the Sobolev trace theorems

Some General Forms of Sharp Sobolev Ineq

Some General Forms of Sharp Sobolev Inequalities

✍ Meijun Zhu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 579 KB

In this paper, we establish some general forms of sharp Sobolev inequalities on the upper half space or any compact Riemannian manifold with smooth boundary. These forms extend some previous results Escobar [11], Li and Zhu [18].

Trace Theorems for Anisotropic Weighted

Trace Theorems for Anisotropic Weighted SOBOLEV Spaces in a Corner

✍ Bruno Franchi 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 969 KB

In this paper, we prove a trace theorem for anisotropic weighted Sobolev spaces in a cube Q naturally associated to a class of degenerate elliptic operators. The fundamental property of this class is the existence of a suitable metric d which is "natural" for the operators. The basic tool of the pro

Trace Theorems for Anisotropic Weighted

Trace Theorems for Anisotropic Weighted SOBOLEV Spaces in a Corner

✍ Bruno Franchi 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 969 KB

In this paper, we prove a trace theorem for anisotropic weighted Sobolev spaces in a cube Q naturally associated to a class of degenerate elliptic operators. The fundamental property of this class is the existence of a suitable metric d which is "natural" for the operators. The basic tool of the pro

Trace Theorems for Sobolev Spaces of Var

Trace Theorems for Sobolev Spaces of Variable Order of Differentiation

✍ Hans - Gerd Leopold; Elmar Schrohe 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 886 KB

Sharp Estimates of the Sobolev Norm ofuT

Sharp Estimates of the Sobolev Norm ofuTimes the Gradient ofv

✍ M.T. Lacey 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 105 KB

We give a new proof of the following inequality. In any dimension n G 2 and for Ž . 1-p-nlet s s n q p r2 p. Then p, s Ž n . where L R denotes the usual Sobolev space and ٌ¨denotes the gradient of The choice of s is optimal, as is the requirement that n ) p. In addition, some Sobolev norms of u ٌ¨

On the Sharpness of a Theorem by Cooke a

On the Sharpness of a Theorem by Cooke and Verduyn Lunel

✍ Kenneth L. Cooke; Gregory Derfel 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 172 KB