Add to ORKGWe consider positive solutions of the equation −∆u = λ(1 + u)p with Dirichlet boundary conditions in a smooth bounded domain Ω for λ> 0 and p> 1. We study the behavior of the solutions for varying λ, p and varying domains Ω in different limiting situations. AMS Subject Classification: 35J60, 35B30, 35B40.
Abstract. We consider the problem of nding positive solutions of u + u + uq = 0 in a bounded, smooth...
We study existence and boundedness of solutions for the quasilinear elliptic equation −Δ_m u = λ(1+...
By using the mountain pass lemma, we study the existence of positive solutions for the equation−∆u(x...
We consider positive solutions of the equation -Δu = λ(1 + u)p with Dirichlet boundary conditions in...
The equation −∆u = χ{u>0} − 1 uβ +λf(x, u) in Ω with Dirichlet boundary condition on ∂Ω has ...
Abstract. The equation −∆u = χ{u>0} ( − 1 uβ +λf(x, u) in Ω with Dirichlet boundary condition on ...
We consider the elliptic problem −Δu+u=b(x)|u|p−2u+h(x) in Ω, u∈H01(Ω), where 20 as |x|→∞ and b(x)≥c...
This study concerns the existence and stability properties of positive solutions to classes of bound...
We consider the elliptic problem −Δu+ u = b(x)|u|p−2u+ h(x) in Ω, u∈H10 (Ω), where 2 < p < (2N...
In this paper we prove the existence and regularity of positive solutions of the homogeneous Dirichl...
Abstract. Consider the problem −∆pu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0,∞),...
Abstract. This study concerns the existence and stability properties of positive weak solutions to c...
In this paper, we discuss the asymptotic behavior of the positive solutions of the problem −∆u = au ...
Abstract. Let 0 < β < 1. The equation −∆u = χ{u>0} ( − u−β + λf(x, u)) in Ω with Dirichlet...
Abstract. In this work we discuss existence, uniqueness and asymp-totic profiles of positive solutio...
Abstract. We consider the problem of nding positive solutions of u + u + uq = 0 in a bounded, smooth...
We study existence and boundedness of solutions for the quasilinear elliptic equation −Δ_m u = λ(1+...
By using the mountain pass lemma, we study the existence of positive solutions for the equation−∆u(x...
We consider positive solutions of the equation -Δu = λ(1 + u)p with Dirichlet boundary conditions in...
The equation −∆u = χ{u>0} − 1 uβ +λf(x, u) in Ω with Dirichlet boundary condition on ∂Ω has ...
Abstract. The equation −∆u = χ{u>0} ( − 1 uβ +λf(x, u) in Ω with Dirichlet boundary condition on ...
We consider the elliptic problem −Δu+u=b(x)|u|p−2u+h(x) in Ω, u∈H01(Ω), where 20 as |x|→∞ and b(x)≥c...
This study concerns the existence and stability properties of positive solutions to classes of bound...
We consider the elliptic problem −Δu+ u = b(x)|u|p−2u+ h(x) in Ω, u∈H10 (Ω), where 2 < p < (2N...
In this paper we prove the existence and regularity of positive solutions of the homogeneous Dirichl...
Abstract. Consider the problem −∆pu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0,∞),...
Abstract. This study concerns the existence and stability properties of positive weak solutions to c...
In this paper, we discuss the asymptotic behavior of the positive solutions of the problem −∆u = au ...
Abstract. Let 0 < β < 1. The equation −∆u = χ{u>0} ( − u−β + λf(x, u)) in Ω with Dirichlet...
Abstract. In this work we discuss existence, uniqueness and asymp-totic profiles of positive solutio...
Abstract. We consider the problem of nding positive solutions of u + u + uq = 0 in a bounded, smooth...
We study existence and boundedness of solutions for the quasilinear elliptic equation −Δ_m u = λ(1+...
By using the mountain pass lemma, we study the existence of positive solutions for the equation−∆u(x...