... Proof of Theorem 1.1
In the proof of Theorem 1.1, we need the following estimate.
Lemma 4.1. If u
λ
is a solution (positive) of problem T
0
, then u
λ
≤C for all λ ≥ 0,where
C>0 is a constant ... following meanings: L is the length of the string, h
is the area of cross-section, E is the Young modulus of the material, ρ is the mass density
and P
0
is the...
... methods for positive solutions
of p-Laplace equations,” Journal of Differential Equations, vol. 179, no. 1, pp. 213–245, 2002.
[4] S. Takeuchi, Positive solutions of a degenerate elliptic equation ... Proceed-
ings of the American Mathematical Society, vol. 129, no. 2, pp. 433–441, 2001.
[5] W. Dong and J. T. Chen, Existence and multiplicity results for a degenerate elli...
... boundaries
of the images and can be used as the feature of the
cover image to enhance the watermark robustness. The
reasons of choosing the pinned field as the image fea-
ture are given as follows:
1. The ... transforming the pinned field of the cover
image into a binary feature image, the robustness of
watermark can be enhanced. But how to determine the
thre...
... represents the types of entities chat partic-
ipate in an action and the changes the entities undergo
during the action.
The ~s are organized so thac the similarities among
various senses of a ... PTRANS and PROPEL. ~t is
interesting that some of the building blocks Moran in-
ferred seem to be subparts of the structures of PTRANS
and PROPEL. For example, t...
... importantly, superiority of one
type of therapy over another could not be distinguished,
and therefore that the specific choice of therapy was diffi-
cult to justify over another type of treatment. ... the benefit of various
types of physical therapies.
Evolution of physical rehabilitation
Historically, the management of stroke survivors involved
bed-rest and convale...
... under-
stand the real-life applicability of the single-channel cuffs.
Since an important feature for the correct classification
of neural signals is a significant difference in terms of
SNR for the ... Euro-
pean Union and the NIH Guide for Care and Use of Lab-
oratory Animals, and were approved by the Ethical
Committee of the Universitat Autònoma de Barcelona,...
... important in casting some light on the accuracy
of the hypothesis. Of utmost importance in all such stud-
ies would be test batteries making it possible to objectify
and even quantify the degree of ... of utmost importance for breaking the
vicious circle, which comes with the risk for secondary
anxiety and depression. Furthermore, it is important for
the patient to i...
... of the
throat."
Then they mixed all the "stuff" together and sprayed 1 cc
of the mixture in each of the nostrils of 10 volunteers, and
"into the throat, while inspiring, and ... spit, and breathe on
a combined total of >150 well patients [51-55].
Rosenau's work was the largest of the studies, illustrative
of the attempts, and remarkabl...
... that
m
k
n
<
|
a
n
|
.
3. Proof of the theorem
Proof of Theorem 1.1.Letm =min
|z|=k
|p(z)|. If p( z)hasazeroon|z|=k,thenm =
0 and the result follows from Lemma 2.8. Henceforth, we suppose that all the zeros of
p(z) ... k
)
}
m
k
n
].
Making |l| ® 1, Theorem 1.1 follows.
Acknowledgements
The author is grateful to the referees, for the careful reading of the paper a...
... 2011:114
http://www.journalofinequalitiesandapplications.com/content/2011/1/114
Page 5 of 8
for every x Î H as n ® +∞ Equation 2 is not possible for infinitely m any positive
integer n and hence there exists some positive ... dimensional type, the proof is clear.
In the followin g theorem, we generalize the well-known Baker’s super-stability result
for e xponential mappin...