Add to ORKGWe study Brezis–Nirenberg type theorems for the equation − Delta u + g(x, u) = f (x, u) in Ω, u=0 ,on ∂Ω, where Ω is a bounded domain in RN , g(x, ·) is increasing and f is a dissipative nonlinearity. We apply such theorems for studying existence and multiplicity of positive solutions for the equation − Delta u = u^−q + λu^p in Ω, u = 0 on ∂Ω, where q > 0, p > 1 and λ > 0
Abstract. For certain positive numbers µ and λ, we establish the multiplicity of solutions to the pr...
We study existence and multiplicity of positive solutions for the following Dirichlet equations: −Δu...
Abstract. Consider the problem −∆pu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0,∞),...
AbstractWe study Brezis–Nirenberg type theorems for the equation−Δu+g(x,u)=f(x,u)in Ω,u=0on ∂Ω, wher...
AbstractWe consider the boundary value problem−Δu=ϕg(u)u−αin Ω,u=0on ∂Ω, where Ω⊂RN is a bounded dom...
We study the existence of multiple positive solutions of −∆u = λu−q + up in Ω with homogeneous Diric...
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...
We study the existence, nonexistence and multiplicity of positive solutions for the family of proble...
In this paper we prove the existence and regularity of positive solutions of the homogeneous Dirichl...
We consider the elliptic problem −Δu+ u = b(x)|u|p−2u+ h(x) in Ω, u∈H10 (Ω), where 2 < p < (2N...
AbstractThe following singular elliptic boundary value problem is studied:Δu+λu−γ+up=0inΩ,u>0inΩ,u=0...
AbstractWe consider the following boundary value problemΔu=λ[u−p−u−q]in Ω,u=κ∈(0,∞)on ∂Ω, where p>q>...
In this paper we consider the semilinear elliptic problem in a bounded domain Ω⊆Rn, −Δu=μ/|x|αu2∗α-1...
AbstractWe study the existence, nonexistence and multiplicity of positive solutions for a family of ...
AbstractWe prove results concerning the existence and multiplicity of positive solutions for the qua...
Abstract. For certain positive numbers µ and λ, we establish the multiplicity of solutions to the pr...
We study existence and multiplicity of positive solutions for the following Dirichlet equations: −Δu...
Abstract. Consider the problem −∆pu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0,∞),...
AbstractWe study Brezis–Nirenberg type theorems for the equation−Δu+g(x,u)=f(x,u)in Ω,u=0on ∂Ω, wher...
AbstractWe consider the boundary value problem−Δu=ϕg(u)u−αin Ω,u=0on ∂Ω, where Ω⊂RN is a bounded dom...
We study the existence of multiple positive solutions of −∆u = λu−q + up in Ω with homogeneous Diric...
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...
We study the existence, nonexistence and multiplicity of positive solutions for the family of proble...
In this paper we prove the existence and regularity of positive solutions of the homogeneous Dirichl...
We consider the elliptic problem −Δu+ u = b(x)|u|p−2u+ h(x) in Ω, u∈H10 (Ω), where 2 < p < (2N...
AbstractThe following singular elliptic boundary value problem is studied:Δu+λu−γ+up=0inΩ,u>0inΩ,u=0...
AbstractWe consider the following boundary value problemΔu=λ[u−p−u−q]in Ω,u=κ∈(0,∞)on ∂Ω, where p>q>...
In this paper we consider the semilinear elliptic problem in a bounded domain Ω⊆Rn, −Δu=μ/|x|αu2∗α-1...
AbstractWe study the existence, nonexistence and multiplicity of positive solutions for a family of ...
AbstractWe prove results concerning the existence and multiplicity of positive solutions for the qua...
Abstract. For certain positive numbers µ and λ, we establish the multiplicity of solutions to the pr...
We study existence and multiplicity of positive solutions for the following Dirichlet equations: −Δu...
Abstract. Consider the problem −∆pu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0,∞),...