[PDF] Top 20 Existence of positive solutions of elliptic mixed boundary value problem

... the boundary condition; see ...[–]. Problem () is different from the classical ones, such as those with Dirichlet, Neuman, Robin, No-flux, or Steklov boundary ... See full document

... Our next results give criteria for the existence of one, more than one, or no positive solutions of the eigenvalue problem (1.1)-(1.2) in terms of the superlinear or sublinear behavior of f ... See full document

... where ξ < η, f ∈ C0, 1 × 0, ∞, 0, ∞. By using fixed-point theorem for operators on a cone, they obtained some existence of at least three positive solutions for the above problem. However, ... See full document

... the existence of positive solutions for BVP (P), which is irrelevant to the value of f(t, u) when u ≤ 0, we only need to suppose that f(t, u) is bounded from below when u ≥ ... See full document

... to boundary value problems at res- onance for ordinary or fractional differential ...maximal positive solutions by using a fixed point theorem of increasing ... See full document

... In the paper we provide sufficient conditions for the existence of positive solutions for some second-order differential equation subject to periodic boundary conditions. Our method employs a ... See full document

... the existence of positive solutions of singular second-order boundary value problem u t f t, u t 0, t ∈ 0, 1 , u 0 u 1 0, which is not necessarily ... See full document

... 3. a : (0, 1) → [0, ∞ ) is continuous, symmetric on the interval (0, 1), and may be singular at both end points t = 0 and t = 1, f : [0, 1] × [0, ∞ ) → [0, ∞ ) is continuous and f (1 − t,x) = f (t,x) for all (t, x) ∈ [0, ... See full document

... The rest of the paper is organized as follows. In Section , we introduce some lemmas and definitions which will be used later. In Section , the existence of positive solutions for the ... See full document

... existence criteria of at least one and three positive solutions are presented. The first one is based on the Four functionals fixed point theorem in the work of R. Avery et al. 2008, and the second ... See full document

... the existence and multiplicity results of positive solutions for a boundary value problem of nonlinear fractional differential ...considered problem is deduced to an ... See full document

... the existence of three positive solutions to multipoint boundary value problems of impulsive differential equation on infinite interval so ...the existence of triple ... See full document

... Al-Askar, “On the Existence of Positive Solutions for a Boundary Value Problem of Fracntional Order,” International Journal of Mathematical Analysis, Vol.. Lü, “Positive Solutions for Bo[r] ... See full document

... the existence and multiplicity of positive solutions for the p-Laplacian oper- ator, ...and positive homomorphism operators has proceeded very slowly, see [, ... See full document

... of existence of positive solutions for fractional order differential equations satisfying initial (or) boundary conditions to mention a few references [15, 16, 18, ...establishing ... See full document

... In this paper, by applying a fixed point theorem to verify the existence of at least three positive solutions to a three-point boundary value problem with p-Laplacian. The ... See full document

... By using the mountain pass lemma, we study the existence of positive solutions for the equation −∆ux = λu|u| + ux for x ∈ Ω together with Dirichlet boundary conditions and show that for [r] ... See full document

... weak solutions for di ff erential equations with nonstandard p(x)-growth ...the existence of solutions for p(x)-Laplacian problems in bounded domain, we refer to [5, 11, ... See full document

... Similar reason, the results in 12, 13 are also incorrect, as they deal with the nonlinear systems. Under the boundary condition 1.3, we could avoid 3.31 to occur. With the similar argument of Theorem 3.4, we could ... See full document

... 3. de Figueiredo, DG: Semilinear elliptic systems: a survey of superlinear problems. Resenhas 2, 373-391 (1996) 4. de Figueiredo, DG, Felmer, PL: On superquadratic elliptic systems. Trans. Am. Math. Soc. ... See full document