DOIAbstract
We consider the imbedding inequality || ||_{L^r(R^d)} d/2, 2 < r < infinity; in many cases these are close to the previous upper bounds, as illustrated by a number of examples, thus characterizing the sharp constants with little uncertainty
We consider the imbedding inequality || ||_{L^r(R^d)} d/2, 2 < r < infinity; in many cases these are close to the previous upper bounds, as illustrated by a number of examples, thus characterizing the sharp constants with little uncertainty
Answering a question raised by Y.X. Huang, we prove what follows: if O is a bounded smooth domain an...
A new proof of the classical Sobolev inequality in R^n and its best constant are given. The result f...
A new proof of the classical Sobolev inequality in R^n and its best constant are given. The result f...
We consider the imbedding inequality || f ||_{L^r} <= S_{r,n,d} || f ||_{H^{n}}; H^{n}(R^d) is the...
We establish upper and lower estimates for the embedding constants related to the classical Sobolev ...
We establish upper and lower estimates for the embedding constants related to the classical Sobolev ...
We establish upper and lower estimates for the embedding constants related to the classical Sobolev ...
We establish upper and lower estimates for the embedding constants related to the classical Sobolev ...
AbstractThe classical Sobolev embedding theorem of the space of functions of bounded variation BV(Rn...
Let us give the $\mathrm{f}\dot{\mathrm{o}}$llowing simple motivation which arises in such a fundame...
This paper is concerned with the embedding constant of the Sobolev type inequality for fractional de...
We prove a dimension-invariant imbedding estimate for Sobolev spaces of first order into a small Leb...
Answering a question raised by Y.X. Huang, we prove what follows: if O is a bounded smooth domain an...
We prove a dimension-invariant imbedding estimate for Sobolev spaces of first order into a small Leb...
We prove a dimension-invariant imbedding estimate for Sobolev spaces of first order into a small Leb...
Answering a question raised by Y.X. Huang, we prove what follows: if O is a bounded smooth domain an...
A new proof of the classical Sobolev inequality in R^n and its best constant are given. The result f...
A new proof of the classical Sobolev inequality in R^n and its best constant are given. The result f...
We consider the imbedding inequality || f ||_{L^r} <= S_{r,n,d} || f ||_{H^{n}}; H^{n}(R^d) is the...
We establish upper and lower estimates for the embedding constants related to the classical Sobolev ...
We establish upper and lower estimates for the embedding constants related to the classical Sobolev ...
We establish upper and lower estimates for the embedding constants related to the classical Sobolev ...
We establish upper and lower estimates for the embedding constants related to the classical Sobolev ...
AbstractThe classical Sobolev embedding theorem of the space of functions of bounded variation BV(Rn...
Let us give the $\mathrm{f}\dot{\mathrm{o}}$llowing simple motivation which arises in such a fundame...
This paper is concerned with the embedding constant of the Sobolev type inequality for fractional de...
We prove a dimension-invariant imbedding estimate for Sobolev spaces of first order into a small Leb...
Answering a question raised by Y.X. Huang, we prove what follows: if O is a bounded smooth domain an...
We prove a dimension-invariant imbedding estimate for Sobolev spaces of first order into a small Leb...
We prove a dimension-invariant imbedding estimate for Sobolev spaces of first order into a small Leb...
Answering a question raised by Y.X. Huang, we prove what follows: if O is a bounded smooth domain an...
A new proof of the classical Sobolev inequality in R^n and its best constant are given. The result f...
A new proof of the classical Sobolev inequality in R^n and its best constant are given. The result f...
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