DIRICHLET BOUNDARY

EXISTENCE OF SOLUTIONS FOR A NONLINEAR ELLIPTICDIRICHLET BOUNDARY VALUE PROBLEM WITHAN INVERSE SQUARE POTENTIALSHENGHUA WENG AND YONGQING LIReceived 11 January 2006; Accepted 24 March 2006Via the linking theorem, the existence of nontrivial solutions for a nonlinear elliptic Dir-ichlet bou[r]

Competing interestsThe authors declare that they have no competing interests.Received: 13 February 2011 Accepted: 17 September 2011 Published: 17 September 2011References1. Choi, QH, Jung, T: Multiplicity of solutions and source terms in a fourth order nonlinear elliptic equation. ActaMathematica Sc[r]

conditions,” Nonlinear Analysis. Real World Applications, vol. 11, no. 1, pp. 67–78, 2010.14 Z. Zhang and R. Yuan, “An application of variational methods to Dirichlet boundary value problemwith impulses,” Nonlinear Analysis. Real World Applications, vol. 11, no. 1, pp. 155–162, 2010.[r]

Hindawi Publishing CorporationAdvances in Difference EquationsVolume 2008, Article ID 345916, 10 pagesdoi:10.1155/2008/345916Research ArticleThree Solutions to Dirichlet Boundary ValueProblems for p-Laplacian Difference EquationsLiqun Jiang1, 2and Zhan Zhou2, 31Department of Mathematics[r]

Remark 1.4 In [1, §5.3], they also obtained infinitely many sign-changing solutionsfor elliptic problem with Dirichlet boundary value, under (AR) condition stronger than(f2) and (f3) above.Remark 1.5 In [1, §6.4], Equation 1.1 has been studied the existence for infinitelymany sign-chan[r]

(Ω)issaidto be a supersolution if φ ≥ 0on∂Ω and satisfiesΩ|∇φ|p−2∇φ ·∇w ≥Ωλf(φ)w ∀w ∈ W. (1.9)It is known (see [2, 3, 4]) that if there is a subsolution ψ and a supersolution φ of (1.1)such that ψ ≤ φ in Ω then (1.1)hasaC1(Ω)solutionu such that ψ ≤ u ≤ φ in Ω.For the semipositone case, it has alway[r]

a phu.o.ng ph´apd˜a du.o..c ch´u.ng to’trˆen nhiˆe`u thu..c nghiˆe.m t´ınh to´an.1. INTRODUCTIONThe solution of fourth order differential equations by their reduction to boundary valueproblems (BVP) for the second order equations, with the aim of using efficient algorithms forthese, attracts att[r]

FS interface can be considered as a Neumann type boundary condition. Whenthe fluid problem is iteratively solved with the structure velocity as a Dirichletboundary condition and the structure problem is solved with the fluid normalstress as a Neumann boundary condition, we call it D[r]

Hindawi Publishing CorporationAdvances in Difference EquationsVolume 2010, Article ID 623508, 23 pagesdoi:10.1155/2010/623508Research ArticleTransformations of Difference Equations IISonja Currie and Anne D. LoveSchool of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, South A[r]

boundary value problems with φ-Laplacian,” Computers & Mathematics with Applications, vol. 54, no.2, pp. 255–266, 2007.2 R. P. Agarwal, D. O’Regan, and S. Stanˇek, “Dead cores of singular Dirichlet boundary value problemswith φ-Laplacian,” Applications of Mathematics,[r]

được gọi là conductor của .Cho p l số nguyn tố, a   , (a)   p   là đại diện Teichmuller của a.Dễ dàng chứng minh được ánh xạ  :    là đặc trưng Dirichlet nguyn thủy4 khi p = 2với conductor q  và được gọi là đặc trưng Teichmuller. p khi p > 2Cho 1, 2 là hai đặc trưng[r]

CHƯƠNG II BÀI TOÁN ĐẾM Chứng minh: Giả sử không có hộp nào trong k hộp chứa nhiều hơn một đồ vật. Khi đó tổng số vật được chứa trong các hộp nhiều nhất là bằng k. Điều này trái giả thiết là có ít nhất k + 1 vật. Nguyên lý này thường được gọi là nguyên lý Dirichlet, mang tên nhà toán học ngư[r]

In this paper, we establish boundary Holder gradient estimates for solutions to ¨
the linearized MongeAmpere equations with ` L
p
(n < p ≤ ∞) right hand side and C
1,γ
boundary values under natural assumptions on the domain, boundary data and the MongeAmpere
measure. These estimates extend our previ[r]

Vậy là Linh đã post xong phần lí thuyết và ví dụ Và sau đây là phần bài tập vận dụng A: HÌNH HỌC Bài 1:Trong hình vuông cạnh 1 đơn vị chọn 101 điểm.Chứng minh rằng có 5 điểm trong các đi[r]

can be expressed by formula (14.12.1.5)in terms of the solution u(x, t) of the auxiliary problem for equation (14.12.1.9) with theinitial conditions (14.12.1.10) and boundary condition (14.12.1.4), for u instead of w,andthe simpler stationary boundary condition (14.12.1.6) at x = x1.In[r]

closed boundary of the salient object in an image. The basicidea is straightforward: although edge-detection results havebeen used for different applications, one of the fundamen-tal goals of edge detection in many applications is to detectsome compact object-boundary information that c[r]

... coupling strength The coupling of the fluid and the structure comes from the continuities of velocities and normal stresses along the FS interface According to this we can classify the coupling into... By combining the governing equations for fluid and incompressible structure, and their couplin[r]

(∂+Ω(M)) sincewψ∈ C∞(Ω(M)).4. Scattering relation and foldsIn this section we prove Lemma 1.1. As indicated before, we embed (M,g)into a compact manifold (S, g) with no boundary. Let (N, g) be an arbi-trary neighborhood in (S, g) of the manifold (M,g), such that any geodesicγ(x, ξ, t), (x, ξ)[r]

CÔNG THỨC LƯỢNG GIÁCĐịnh nghĩa Tuần hoàn, đối xứng và tịnh tiếnCác đẳng thức sau có thể dễ thấy trên vòng tròn đơn vị: Đẳng thức sau cũng đôi khi hữu ích:với Đẳng thức PytagoCác đẳng thức sau dựa vào định lý PytagoĐẳng thức thứ 2 và 3 có thể suy ra từ đẳng thức đầu bởi chia nó cho cos²(x) và sin²(x[r]