ASYMPTOTIC BEHAVIOR OF BLOWUP SOLUTIONS FOR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY AND SINGULAR DATA
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Blowup Solutions for Elliptic Equations with Exponential Nonlinearity and Singular Data
We consider a sequence of blowup solutions of a two dimensional, second order elliptic equation with exponential nonlinearity and singular data. This equation has a rich background in physics and geometry. In a work of Bartolucci-Chen-Lin-Tarantello it is proved that the profile of the solutions differs from global solutions of a Liouville type equation only by a uniformly bounded term. The pre...
متن کاملPositive Solutions for Elliptic Equations with Singular Nonlinearity
We study an elliptic boundary-value problem with singular nonlinearity via the method of monotone iteration scheme: −∆u(x) = f(x, u(x)), x ∈ Ω, u(x) = φ(x), x ∈ ∂Ω, where ∆ is the Laplacian operator, Ω is a bounded domain in RN , N ≥ 2, φ ≥ 0 may take the value 0 on ∂Ω, and f(x, s) is possibly singular near s = 0. We prove the existence and the uniqueness of positive solutions under a set of hy...
متن کاملPositive Solutions of Elliptic Equations with Singular Nonlinearity
In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity Lu(x) = f(x, u(x)), x ∈ Ω, u(x) = φ(x), x ∈ ∂Ω, is studied, where L is a uniformly elliptic operator, Ω is a bounded domain in R , N ≥ 2, φ ≥ 0 may take the value 0 on ∂Ω, and f(x, s) is possibly singular near s = 0. Some results regarding the existence of positive solutions for the problem are given under a s...
متن کاملSolutions of Semilinear Elliptic Equations with Asymptotic Linear Nonlinearity
In this paper, we consider some semilinear elliptic equations with asymptotic linear nonlinearity and show the existence, uniqueness, and asymptotic behavior of these solutions.
متن کاملBoundary Behavior for Solutions of Singular Quasi–linear Elliptic Equations
In this paper, for 1 γ 3 our main purpose is to consider the quasilinear elliptic equation: div(|∇u|m−2∇u) + (m− 1)u−γ = 0 on a bounded smooth domain Ω ⊂ RN , N > 1 . We get some first-order estimates of a nonnegative solution u satisfying u = 0 on ∂Ω . For γ = 1 , we find the estimate: limx→∂Ω u(x)/p(δ (x)) = 1 , where p(r) ≈ r m √ m log(1/r) near r = 0 , δ (x) denotes the distance from x to ∂...
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: Communications in Contemporary Mathematics
سال: 2009
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199709003417