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Investigation into the impact of embedded generators on distribution system performance using theorem of superposition
(2005-12-01)
Since the 1980s, huge efforts have been made to utilise renewable energy sources to generate electric power. One of the interesting issues about embedded generators is the question of optimal placement and sizing of the ...
Investigation into the impact of embedded generators on distribution system performance using theorem of superposition
(2005-12-01)
Since the 1980s, huge efforts have been made to utilise renewable energy sources to generate electric power. One of the interesting issues about embedded generators is the question of optimal placement and sizing of the ...
Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces
(Polish Academy of Sciences. Institute of Mathematics, 2016-05)
We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class A∞. The main tool is a discretization in terms of an almost orthogonal wavelet expansion ...
Mean dimension and an embedding theorem for real flows
(Institute of Mathematics of the Polish Academy of Sciences (IMPAN), 2020)
We develop mean dimension theory for R-flows. We obtain fundamental properties and examples and prove an embedding theorem: Any real flow (X, R) of mean dimension strictly less than r admits an extension (Y, R) whose mean ...
A generalization of the Minkowski embedding theorem and applications
(Elsevier Science BvAmsterdamHolanda, 1999)
Symmetry breaking for an elliptic equation involving the fractional Laplacian.
(Khayyam Publishing, Inc., 2018-08)
We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which ...
An embedding theorem for orders in central simple algebras
(ACADEMIC PRESS, 2012)
On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
(WILEY, 2005)
In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W-1,W-p(Omega) --> L-p* (partial derivativeOmega), where Omega is a bounded smooth domain in R-N, p(*) = p(N - 1)/(N - p) is the ...
On the Sobolev trace Theorem for variable exponent spaces in the critical range
(Springer Heidelberg, 2013-05)
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give local conditions ...