Positive solutions of singular problems with sign changing Carathéodory nonlinearities depending on x′
نویسندگان
چکیده
منابع مشابه
POSITIVE SOLUTIONS FOR SINGULAR THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES DEPENDING ON x′
Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x′′(t) + a(t)f(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < α < 1, 0 < η < 1, and f may change sign and may be singular at x = 0 and x′ = 0.
متن کاملPositive Solutions for Singular m-Point Boundary Value Problems with Sign Changing Nonlinearities
Using the theory of fixed point theorem in cone, this paper presents the existence of positive solutions for the singular m-point boundary value problem
متن کاملPositive radial solutions of a singular elliptic equation with sign changing nonlinearities
We study the existence of positive radial solutions to the singular semilinear elliptic equation {−∆u = f (x, u) , in B u = 0, x ∈ ∂B. Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0 and |x | = 1. © 2005 Elsevier Ltd. All rights reserved. MSC: 34B15; 35J20
متن کاملMultiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights
Recommended by Pavel Drabek We study existence and multiplicity of positive solutions for the following Dirichlet equations: −Δu − μ/|x| 2 u λfx|u| q−2 u gx|u| 2 * −2 u in Ω, u 0 on ∂Ω, where 0 ∈ Ω ⊂ R N N ≥ 3 is a bounded domain with smooth boundary ∂Ω, λ > 0, 0 ≤ μ < μ N − 2 2 /4, 2 * 2N/N − 2, 1 ≤ q < 2, and f, g are continuous functions on Ω which are somewhere positive but which may change...
متن کاملA Positive Solution for Singular Discrete Boundary Value Problems with Sign-changing Nonlinearities
Let a,b (b > a) be nonnegative integers. We define the discrete interval [a,b] = {a,a + 1, . . . ,b}. All other intervals will carry its standard meaning, for example, [0,∞) denotes the set of nonnegative real numbers. The symbol Δ denotes the forward difference operator with step size 1, that is, Δu(k) = u(k + 1)− u(k). Furthermore for a positive m, Δm is defined as Δmu(k)= Δm−1(Δu(k)). In thi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00046-5