AbstractThe singularly perturbed boundary blow-up problem−ε2Δu=u(u−a)(1−u),u>0 in B,u=∞ on ∂B is studied in the unit ball B⊂RN (N⩾2), a∈(1/2,1) is a constant. It is shown that for ε>0 sufficiently small, there exist exactly three positive solutions for the problem and all of them are radially symmetric solutions
AbstractIn this paper we prove the uniqueness of the positive solution for the boundary blow-up prob...
AbstractWe prove that for large λ>0, the boundary blow-up problem -Δu=λu(u-a)(1-u)inΩ,u|∂Ω=∞has a so...
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
Abstract. The singularly perturbed boundary blow-up problem −ε2∆u = u(u − a)(1 − u) u> 0 in B, u ...
AbstractThe singularly perturbed boundary blow-up problem−ε2Δu=u(u−a)(1−u),u>0 in B,u=∞ on ∂B is stu...
AbstractWe calculate the full asymptotic expansion of boundary blow-up solutions (see Eq. (1) below)...
AbstractIn this paper we consider the elliptic boundary blow-up problem{Δu=(a+(x)−εa−(x))upin Ω,u=∞o...
AbstractLet B be the unit ball in RN, N⩾5 and n be the exterior unit normal vector on the boundary. ...
AbstractWe prove the exact multiplicity of positive boundary blow-up solutions to a semilinear ellip...
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...
AbstractIn this work we deal with a class of second-order elliptic problems of the form −Δu=λk(|x|)f...
AbstractAn elliptic system is considered in a smooth bounded domain, subject to Dirichlet boundary c...
AbstractWe consider the following parabolic equations with nonlinear boundary conditions: ut=Δu−a|u|...
AbstractIn this paper we consider the boundary blow-up problemΔu=f(u)inΩ,u(x)→∞asx→∂Ω,and its non-au...
AbstractIn this paper we prove the uniqueness of the positive solution for the boundary blow-up prob...
AbstractWe prove that for large λ>0, the boundary blow-up problem -Δu=λu(u-a)(1-u)inΩ,u|∂Ω=∞has a so...
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
Abstract. The singularly perturbed boundary blow-up problem −ε2∆u = u(u − a)(1 − u) u> 0 in B, u ...
AbstractThe singularly perturbed boundary blow-up problem−ε2Δu=u(u−a)(1−u),u>0 in B,u=∞ on ∂B is stu...
AbstractWe calculate the full asymptotic expansion of boundary blow-up solutions (see Eq. (1) below)...
AbstractIn this paper we consider the elliptic boundary blow-up problem{Δu=(a+(x)−εa−(x))upin Ω,u=∞o...
AbstractLet B be the unit ball in RN, N⩾5 and n be the exterior unit normal vector on the boundary. ...
AbstractWe prove the exact multiplicity of positive boundary blow-up solutions to a semilinear ellip...
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...
AbstractIn this work we deal with a class of second-order elliptic problems of the form −Δu=λk(|x|)f...
AbstractAn elliptic system is considered in a smooth bounded domain, subject to Dirichlet boundary c...
AbstractWe consider the following parabolic equations with nonlinear boundary conditions: ut=Δu−a|u|...
AbstractIn this paper we consider the boundary blow-up problemΔu=f(u)inΩ,u(x)→∞asx→∂Ω,and its non-au...
AbstractIn this paper we prove the uniqueness of the positive solution for the boundary blow-up prob...
AbstractWe prove that for large λ>0, the boundary blow-up problem -Δu=λu(u-a)(1-u)inΩ,u|∂Ω=∞has a so...
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
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