Báo cáo hóa học: "EXISTENCE RESULTS FOR NONLOCAL AND NONSMOOTH HEMIVARIATIONAL INEQUALITIES" potx

... RESULTS FOR NONLOCAL AND NONSMOOTH HEMIVARIATIONAL INEQUALITIES S. CARL AND S. HEIKKIL ¨ A Received 4 May 2005; Accepted 10 May 2005 We consider an elliptic hemivariational inequality with nonlocal ... greatest and least,andminimal and maximal have to be understood in the usual set-theoretical sense. As for examples of ordered Banach spaces E satisfying (E0) and (E1)...

Ngày tải lên: 22/06/2014, 22:20

... Banach space and X 2 ≠ {0}, and is finite dimensional. Suppose J Î C 1 (X, R) satisfies (PS) and (i) there is a constant a and a bounded neighborhood D of 0 in X 2 such that J| ∂D ≤ a and, (ii) ... [2-8] and the references therein for similar problem in several cases. This work is organized as follows, in Section 2, we present some preliminary results and in Section 3 we pro...

Ngày tải lên: 20/06/2014, 22:20

... solutions for the p-Laplacian equation (φ(x) =|x| p−2 x) on an annular domain (see [12] and references therein) and has been studied recently for differential equations (see, e.g., [6, 10]) and also for ... Existence and uniqueness results for some nonlinear boundary value problems, Journal of Mathematical Analysis and Applications 198 (1996), no. 1, 35–48. [13] G. S. Ladde...

Ngày tải lên: 22/06/2014, 22:20

... λ>0isaparameterand f satisfies: (A1) f ∈ C 1 ([0,∞)), f (0) = 0, f (u) > 0for0 <u<rand f (u) ≤ 0foru ≥ r for some r>0. When c = 0 it is easy to establish the existence of a positive solution for ... where λ>0isaparameterand f is a C 1 ([0,∞)) function such that f (0) = 0, f (u) > 0for0 <u<rand f (u) ≤ 0foru ≥ r. We establish positive constants c 0 (Ω,r )and ∗ (Ω...

Ngày tải lên: 22/06/2014, 22:20

... semigroup and (ii) S  (t)iscompactfort>0 (so S  (t)iscontinuousintheuniformoperatortopology for t>0). Let 0 <t ≤ T be fixed and let  be a real number satisfying 0 <  <t.Fory ∈ ... things, are derived. See, for example, the books of Heikkila and Lak- shmikantham [9], Kamenskii et al. [10] and the references therein, and the paper by Byszewski and Akca [4]. How...

Ngày tải lên: 22/06/2014, 22:20

... ) ∈ ¯ B for all t Î [0, ∞). Proof First we shall show that  for each 1 ≤ i ≤ n and  =1,2, , the sequence {u k i } k≥  is uniformly bounded and equicontinuous on [0, ]. (5:2) The uniform boundedness ... conditions be satisfied for each 1 ≤ i ≤ n : (C1), (C2)- (C4) with p i = ∞ and q i =1,(C5), (C6) and (E1)-(E3) where (E1) θ i h i (t) ≥ 0 for t Î [0, T], (E2) g i (t, s) ≥ 0...

Ngày tải lên: 20/06/2014, 22:20

... q)  , [x] k q = 1 2  k  i=0  k i  q i E i (x, q) + E k (x, q)  Some results for the q-Bernoulli, q-Euler numbers and polynomials Daeyeoul Kim 1 and Min-Soo Kim ∗2 1 National Institute for Mathematical Sciences, Doryong-dong, ... it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Some results for the q-Bernoulli, q-...

Ngày tải lên: 20/06/2014, 04:20

... to obtain a uniqueness result for the problem (D) using a classical result of Alexandrov and Pucci (see [17 ]for the case of bounded open sets and [6, Section 1] for the unbounded case). If p<n, ... required in [16], have been for istance obtained in [4, 18, 19] with p = 2andin[5]withp ∈]1,∞[. Moreover, f uther uniqueness results for (D), when the a ij ’s are in VMO and p...

Ngày tải lên: 22/06/2014, 22:20

... b y the foraminal stenosis. It is not easy to d ifferentiate intraforaminal and extra- foraminal stenosis, or to deter mine whether there i s a combination o f intraforaminal and extraforaminal ... approaches for performing intraforaminal and extraforaminal nerve root compression at the lumbar spine. These include the interlamina approach [8], translamina approach [6,7] and extrafor...

Ngày tải lên: 20/06/2014, 04:20

... b y the foraminal stenosis. It is not easy to d ifferentiate intraforaminal and extra- foraminal stenosis, or to deter mine whether there i s a combination o f intraforaminal and extraforaminal ... approaches for performing intraforaminal and extraforaminal nerve root compression at the lumbar spine. These include the interlamina approach [8], translamina approach [6,7] and extrafor...

Ngày tải lên: 20/06/2014, 07:20