Boundary blow-up solutions of cooperative systems
نویسندگان
چکیده
منابع مشابه
Exact Multiplicity for Boundary Blow-up Solutions
The singularly perturbed boundary blow-up problem −ε2∆u = u(u− a)(1− u) u > 0 in B, u = ∞ on ∂B is studied in the unit ball B ⊂ R (N ≥ 2), a ∈ (1/2, 1) is a constant. It is shown that there exist exactly three positive solutions for the problem and all of them are radially symmetric solutions.
متن کاملExistences and Boundary Behavior of Boundary Blow-up Solutions to Quasilinear Elliptic Systems with Singular Weights
Using the method of explosive sub and supper solution, the existence and boundary behavior of positive boundary blow up solutions for some quasilinear elliptic systems with singular weight function are obtained under more extensive conditions.
متن کاملBoundary blow up solutions for fractional elliptic equations
In this article we study existence of boundary blow up solutions for some fractional elliptic equations including (−∆)u+ u = f in Ω, u = g on Ω, lim x∈Ω,x→∂Ω u(x) = ∞, where Ω is a bounded domain of class C2, α ∈ (0, 1) and the functions f : Ω → R and g : RN \ Ω̄ → R are continuous. We obtain existence of a solution u when the boundary value g blows up at the boundary and we get explosion rate f...
متن کاملFrom blow-up boundary solutions to equations with singular nonlinearities
In this survey we report on some recent results related to various singular phenomena arising in the study of some classes of nonlinear elliptic equations. We establish qualitative results on the existence, nonexistence or the uniqueness of solutions and we focus on the following types of problems: (i) blow-up boundary solutions of logistic equations; (ii) Lane-Emden-Fowler equations with singu...
متن کاملBlow - up Solutions for Gkdv Equations with K Blow
In this paper we consider the slightly L-supercritical gKdV equations ∂tu + (uxx + u|u|)x = 0, with the nonlinearity 5 < p < 5 + ε and 0 < ε ≪ 1 . In the previous paper [10] we know that there exists an stable selfsimilar blow-up dynamics for slightly L-supercritical gKdV equations. Such solution can be viewed as solutions with single blow-up point. In this paper we will prove the existence of ...
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: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2009
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2008.12.003