Add to ORKGWe study the uniqueness and expansion properties of the positive blow-up boundary solution of the logistic equation\ud △u + au = b(x)f(u) in a smooth bounded domain Ω. The absorbtion term f is a positive function satisfying the Keller–Osserman condition and such that the mapping f(u)/u is increasing on (0,+∞), b is nonnegative, while the values of the real parameter a are related to an appropriate semilinear eigenvalue problem. Our analysis is based on the Karamata regular variation theory
The main goal of this work is to study the existence and uniqueness of positive solution of a logis...
AbstractWe calculate the full asymptotic expansion of boundary blow-up solutions (see Eq. (1) below)...
AbstractIn this paper we establish the exact blow-up rate of the large solutions of a porous media l...
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...
Note presented by Haïm Brezis. Abstract Let be a smooth bounded domain in RN. Assume f ∈ C1[0,∞) is...
AbstractIn this paper, we consider the existence and uniqueness of positive solutions of the degener...
In this paper we study the generalized logistic equation $$ frac{du}{dt}=a(t)u^{n}-b(t)u^{n+(2k+1)},...
Abstract. In this paper, under some structural assumptions of weight function b(x) and nonlinear ter...
We study, on the entire space RN(N> 1), the diusive logistic equation ut − u = u − up; u> 0 (1...
AbstractIn this paper we prove the uniqueness of the positive solution for the boundary blow-up prob...
Let f be a non-negative C1-function on [0;1) such that f(u)=u is increasing andR
AbstractIn this paper, we consider a semilinear elliptic boundary value problem in a smooth bounded ...
Abstract. We establish the uniqueness of the positive solution for equations of the form −∆u = au − ...
AbstractWe use comparison principles, variational arguments and a truncation method to obtain positi...
The main goal of this work is to study the existence and uniqueness of positive solution of a logis...
AbstractWe calculate the full asymptotic expansion of boundary blow-up solutions (see Eq. (1) below)...
AbstractIn this paper we establish the exact blow-up rate of the large solutions of a porous media l...
We study the uniqueness and expansion properties of the positive blow-up boundary solution of the lo...
We study the uniqueness and expansion properties of the positive solution of the logistic equation Δ...
Note presented by Haïm Brezis. Abstract Let be a smooth bounded domain in RN. Assume f ∈ C1[0,∞) is...
AbstractIn this paper, we consider the existence and uniqueness of positive solutions of the degener...
In this paper we study the generalized logistic equation $$ frac{du}{dt}=a(t)u^{n}-b(t)u^{n+(2k+1)},...
Abstract. In this paper, under some structural assumptions of weight function b(x) and nonlinear ter...
We study, on the entire space RN(N> 1), the diusive logistic equation ut − u = u − up; u> 0 (1...
AbstractIn this paper we prove the uniqueness of the positive solution for the boundary blow-up prob...
Let f be a non-negative C1-function on [0;1) such that f(u)=u is increasing andR
AbstractIn this paper, we consider a semilinear elliptic boundary value problem in a smooth bounded ...
Abstract. We establish the uniqueness of the positive solution for equations of the form −∆u = au − ...
AbstractWe use comparison principles, variational arguments and a truncation method to obtain positi...
The main goal of this work is to study the existence and uniqueness of positive solution of a logis...
AbstractWe calculate the full asymptotic expansion of boundary blow-up solutions (see Eq. (1) below)...
AbstractIn this paper we establish the exact blow-up rate of the large solutions of a porous media l...