Add to ORKGNote presented by Haïm Brezis. Abstract Let be a smooth bounded domain in RN. Assume f ∈ C1[0,∞) is a non-negative function such that f (u)/u is increasing on (0,∞). Let a be a real number and let b 0, b / ≡ 0 be a continuous function such that b ≡ 0 on ∂. We study the logistic equation u+ au = b(x)f (u) in . The special feature of this work is the uniqueness of positive solutions blowing-up on ∂, in a general setting that arises in probability theory. To cit
AbstractAssume that Ω is a bounded domain in RN (N⩾3) with smooth boundary ∂Ω. In this work, we stud...
We establish the uniqueness of the positive solution for equations of the form −∆u = au − b(x)f(u) ...
We consider the one-dimensional logistic problem (rαA(|u′|)u′) ′ = rαp(r) f (u) on (0,∞), u(0)> ...
We study the uniqueness and expansion properties of the positive blow-up boundary solution of the lo...
We study the uniqueness and expansion properties of the positive solution of the logistic equation Δ...
AbstractIn this paper, we consider the existence and uniqueness of positive solutions of the degener...
AbstractIn this paper we prove the uniqueness of the positive solution for the boundary blow-up prob...
We study, on the entire space RN(N> 1), the diusive logistic equation ut − u = u − up; u> 0 (1...
Let f be a non-negative C1-function on [0;1) such that f(u)=u is increasing andR
AbstractIn this paper we establish the exact blow-up rate of the large solutions of a porous media l...
The main goal of this work is to study the existence and uniqueness of positive solution of a logis...
Abstract. We establish the uniqueness of the positive solution for equations of the form −∆u = au − ...
AbstractIn this paper, we use for the first time linearization techniques to deal with boundary blow...
Abstract. In this paper, under some structural assumptions of weight function b(x) and nonlinear ter...
AbstractWe prove uniqueness for boundary blow-up solutions of the problem: Δu=λf(u)inΩ,u|∂Ω=∞, with ...
AbstractAssume that Ω is a bounded domain in RN (N⩾3) with smooth boundary ∂Ω. In this work, we stud...
We establish the uniqueness of the positive solution for equations of the form −∆u = au − b(x)f(u) ...
We consider the one-dimensional logistic problem (rαA(|u′|)u′) ′ = rαp(r) f (u) on (0,∞), u(0)> ...
We study the uniqueness and expansion properties of the positive blow-up boundary solution of the lo...
We study the uniqueness and expansion properties of the positive solution of the logistic equation Δ...
AbstractIn this paper, we consider the existence and uniqueness of positive solutions of the degener...
AbstractIn this paper we prove the uniqueness of the positive solution for the boundary blow-up prob...
We study, on the entire space RN(N> 1), the diusive logistic equation ut − u = u − up; u> 0 (1...
Let f be a non-negative C1-function on [0;1) such that f(u)=u is increasing andR
AbstractIn this paper we establish the exact blow-up rate of the large solutions of a porous media l...
The main goal of this work is to study the existence and uniqueness of positive solution of a logis...
Abstract. We establish the uniqueness of the positive solution for equations of the form −∆u = au − ...
AbstractIn this paper, we use for the first time linearization techniques to deal with boundary blow...
Abstract. In this paper, under some structural assumptions of weight function b(x) and nonlinear ter...
AbstractWe prove uniqueness for boundary blow-up solutions of the problem: Δu=λf(u)inΩ,u|∂Ω=∞, with ...
AbstractAssume that Ω is a bounded domain in RN (N⩾3) with smooth boundary ∂Ω. In this work, we stud...
We establish the uniqueness of the positive solution for equations of the form −∆u = au − b(x)f(u) ...
We consider the one-dimensional logistic problem (rαA(|u′|)u′) ′ = rαp(r) f (u) on (0,∞), u(0)> ...