[PDF] Top 20 Entire positive solution to the system of nonlinear elliptic equations

... Zou, Existence of positive entire solutions of elliptic Hamiltonian systems , Com- munications in Partial Di ff erential Equations 23 (1998), no... Yao, On a singular nonlinear semilinear[r] ... See full document

... mild solution for infinite horizon stochastic delay evolution ...forward-backward system is considered and ...mild solution of Kolmogorov equation ... See full document

... strictly positive on  ...the solution u (x ) of the problem (1,2) and for the measure of  comparing with a problem of the same type defined in a ... See full document

... Proof. Let (1.5) have a solution v which is negative (or positive) on G. Then, it is obvious that v · f (x) ≤ 0 in G, and hence Theorem 2.4 implies that v must vanish at some point of G. This is a ... See full document

... of elliptic convolution operator equations are ...is positive and also is a generator of an analytic ...regular solution of the nonlinear convolution equation is obtained in L p ... See full document

... the entire positive solutions for a (p, q)-Laplacian elliptic system of equations with a gradient ...of entire large positive solutions and existence of infinitely many ... See full document

... A(x, y) = |y| p– y. Hence, our equation contains the p-Laplace equation as a special case. In the case where f does not depend on the gradient of u, there are many existence results because our equation has the ... See full document

... a positive solution, then (3) has a positive ...bounded positive solution ...bounded positive solution of (1) and for all λ ∈ (0,λ ∗ ), set v = (( p − 1)/(p − 1 − m))u (p ... See full document

... 0 < ξ ≤ z(r) ≤ 2ξ ≤ η ≤ y(r) ≤ 2η. (3.50) On the other hand, if the problem (3.9) has a solution y(r), then v(x) = y( | x | ) = y(r) is a solution of (3.7). Similarly, if the initial value problem (3.45) ... See full document

... the elliptic equation in polar ...the solution in the vicinity of singularity which we encountered in the past for obtaining the high accuracy numerical solution for the singular elliptic ... See full document

... Under certain assumptions on f (x, t) and g(x, t), but without the usual (AR) condition, we prove that the problem has at least one positive strong pair solution (u, v) (see Definition 1.4 below) by applying ... See full document

... solutions of (.) for γ ≥ . By establishing a comparison principle, Corrêa et al. [] proved the existence of positive solutions to (.) also for γ = . Under the assumption that A(x, u) (which is generalized ... See full document

... [2] F. Cìrstea and V. Rădulescu, “Entire Solutions Blowing up at Infinity for Semilinear Elliptic Systems,” Journal de Mathématiques Pures et Appliquées, Vol. 81, No. 9, 2002, pp. 827-846. ... See full document

... nonlinear equation introduced by Kare et al [5]. Raudensky et al [6] present a genetic algorithm for solving the one-dimensional inverse heat conduction problem. A novel method based on continuous genetic ... See full document

... is called an explosive solution if u(x) → ∞ and v(x) → ∞ as x → ∂ Ω if Ω is bounded. If Ω is unbounded, then (u, v) is an explosive solution of (1.5) on Ω if u(x) → ∞ and v(x) → ∞ as x → ∂ Ω , and u(x) → ∞ ... See full document

... Recently, many mathematicians have approachedsome problems of (1.10). See, e.g., Karakostas, Philos andSficas [6], Kiventidis [8], Kocic andLadas [9, 10], Kuruklis and Ladas [11], and Rodrigues [12], etc. In [14, 15, 16, ... See full document

... a nonlinear algorithm named Altered Jacobian Newton Iterative Method for solving system nonlinear equations formed from discretization of non- linear elliptic ... See full document

... r,u(r, 0) ∀ r > 0. (1.9) In [7] the problem (1.3), (1.4) is considered for N = 2 and for a function g continuous, nondecreasing and bounded below by the power function of order α with respect to the third variable and ... See full document

... every positive smooth solution of PDE (3)(or (4)) multiplied by a constant satisfies (1) (or (2)) respec- ...single equations, we refer to ... See full document

... The paper is organized as follows. In Section 2 we will precise some basic properties of weighted Sobolev spaces. Section 3 is devoted to specify the assumptions on ax, s, ξ, bs, and f needed in the present study and ... See full document