Báo cáo hóa học: "EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR QUASILINEAR SYSTEMS" pptx
Báo cáo hóa học: "EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR QUASILINEAR SYSTEMS" pptx
... 8 Existence and nonexistence of positive solutions
5. Proof of Theorem 1.3
Since(H4)istrue,foreachi
= 1, ,n, there exist positive numbers ε
i
1
, ε
i
2
, r
i
1
,andr
i
2
such
that r
i
1
<r
i
2
,
f
i
(u) ... the effect of the size of the domain on the existence and
nonexistence of positive solutions of the quasilinear e lliptic system (1.1) in sublinear
cases....
Báo cáo hóa học: "EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO A RIGHT-FOCAL BOUNDARY VALUE PROBLEM ON TIME SCALES" pptx
... Positive Solutions of Operator Equations, Groningen and P. Noordhoff,The
Netherlands, 1964.
[13] F. Merdivenci Atici, A. Cabada, and V. Otero-Espinar, Criteria for existence and nonexistence of
positive ... has at least two positive solutions, x
1
and
x
2
, if (H1) and (H2) are satisfied and, in addition, both of the following hold.
Ilkay Yaslan Karaca 13
[9] , Po...
báo cáo hóa học: " Existence and multiplicity of positive solutions for a nonlocal differential equation" docx
... of positive solutions of nonlocal BVPs (see [3-9]
and references therein). Inspired by the above references, our aim in the present paper is
to investigate the existence and multiplicity of positive ... yantaicity@163.
com
1
College of Aeronautics and
Astronautics, Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, People’s Republic
of China
Full lis...
báo cáo hóa học:" Existence and multiplicity of positive solutions for a class of p(x)-Kirchho type equations" ppt
... results for the weak solution of
P
f
λ
. Ap-
plying Theorems 4.1 and 4.4 of [44] and Theorem 1.3 of [37], we can easily get the following
results involving of the regularity of weak solutions of
P
f
λ
.
Proposition ... appeared upon acceptance. Fully formatted
PDF and full text (HTML) versions will be made available soon.
Existence and multiplicity of positi...
Báo cáo hóa học: " Research Article Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space" pot
... estimates for positive solutions of associated problems in bounded domains via some
procedure of blow up. In this work, we obtain a nonexistence result for the positive solu-
tion of u
p
≤−Δ
m
u ... Corporation
Journal of Inequalities and Applications
Volume 2007, Article ID 65126, 4 pages
doi:10.1155/2007/65126
Research Article
Nonexistence of Positive Solution f...
Báo cáo hóa học: "Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces" ppt
... generalization of both uniformly convex normed spaces and
CAT(0) spaces. We prove the existence of fixed points and demiclosed principle for
mappings of asymptotically nonexpansive type in uniformly ... Leaders Fund of Harbin University of Science and Technology and Young Scientist Fund of
Harbin University of Science and Technology under grant 2009YF029.
Author deta...
báo cáo hóa học:" Existence and multiplicity of solutions for a fourth-order elliptic equation" potx
... existence of a nontrivial critical point
of functional I(u).
5
Existence and multiplicity of solutions for
a fourth-order elliptic equation
Fanglei Wang
∗1
and Yukun An
2
1
College of Science, ... prove the case of I
+
. The arguments for the case of I
−
are similar.
Since Ω is bounded and (H7) holds, then if { u
n
} is b ounded in H, by using the
Sobolve embedding an...
báo cáo hóa học:" Existence and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation" docx
... nonlinear and non-uniform elastic foundation.
36
Existence and uniqueness of nonlinear deflec-
tions of an infinite beam resting on a non-
uniform nonlinear elastic foundation
Sung Woo Choi
1
and Taek ... > 0 for the rest of the article.
Define
N(u, x) := f(u, x) −ku, (12)
7
which is the nonlinear and non-uniform part of the restoring force f(u, x) = ku + N(u, x).
Finally, F...
Báo cáo hóa học: "EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR SOME THREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS" pptx
... λ
∗
as n → +∞ ,and
n
≥ λ
∗
/2forn = 1,2, Assume that (1.1
λ
n
)
has positive solution z
n
for each n ∈ N.Thenz
n
is an upper solution of (2.1
k
λ
n
)and0 is
a lower solution of (2.1
k
λ
n
)foreachk ... contradiction.
Therefore, β(t)
≥ u
n,λ
(t)fort ∈ [0,1]. Similarly, we can show that α(t) ≤ u
n,λ
(t )for
t
∈ [0, 1]. Thus, u
n,λ
(t) is a positive solution of (2.1
λ
n
). The pro...
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