EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION
نویسندگان
چکیده
منابع مشابه
Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition
In this paper, we study the existence of entire solutions for the following elliptic system △mu = p(x)f(v),△lv = q(x)g(u), x ∈ R, where 1 < m, l < ∞, f, g are continuous and non-decreasing on [0,∞), satisfy f(t) > 0, g(t) > 0 for all t > 0 and the Keller-Osserman condition. We establish conditions on p and q that are necessary for the existence of positive solutions, bounded and unbounded, of t...
متن کاملBack to the Keller-Osserman condition for boundary blow-up solutions
This article is concerned with the existence, uniqueness and numerical approximation of boundary blow up solutions for elliptic PDE’s as ∆u = f(u) where f satisfies the so-called Keller-Osserman condition. We characterize existence of such solutions for non-monotone f . As an example, we construct an infinite family of boundary blow up solutions for the equation ∆u = u(1 + cos u) on a ball. We ...
متن کاملExistence and Non–existence of Entire Positive Solutions for Quasilinear Systems with Singular and Super–linear Terms
We establish the results concerning existence and non-existence of entire positive solutions for the nonlinear elliptic systems ⎧⎨ ⎩ −Δpu = a(x)um +λc(x)vn, x ∈ RN , −Δqv = b(x)vl +θc(x)un, x ∈ RN , u,v > 0, x ∈ RN and u → 0,v → 0 as |x| → ∞, where 1 < p,q < N and λ ,θ 0 are nonnegative parameters, a,b,c : RN → [0,∞) are locally Hölder continuous functions not identically zero, and −∞< m < p−1,...
متن کاملExistence and Uniqueness of Solutions for Quasilinear Elliptic Systems
We obtain necessary and sufficient conditions for the existence of positive solutions for a class of sublinear Dirichlet quasilinear elliptic systems.
متن کاملExistence and Nonexistence of Positive Solutions for Quasilinear Systems
The paper deals with the existence and nonexistence of positive solutions for a class of p-Laplacian systems. We investigate the effect of the size of the domain on the existence of positive solution for the problem in sublinear cases. We will use fixed point theorems in a cone. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted...
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: Cubo (Temuco)
سال: 2013
ISSN: 0719-0646
DOI: 10.4067/s0719-06462013000100008