Add to ORKGBy using the mountain pass lemma, we study the existence of positive solutions for the equation−∆u(x) = λ(u|u|+u)(x) for x ∈Ω together with Dirichlet boundary conditions and show that for every λ < λ1, where λ1 is the first eigenvalue of −∆u = λu inΩ with the Dirichlet boundary conditions, the equation has a positive solution while no positive solution exists for λ ≥ λ1. 1
In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity Lu(x) = f(x, ...
In this paper we consider the question of uniqueness of positive solutions for Dirichlet problems of...
We consider the elliptic problem −Δu+ u = b(x)|u|p−2u+ h(x) in Ω, u∈H10 (Ω), where 2 < p < (2N...
By using the mountain pass lemma, we study the existence of positive solutions for the equation−∆u(x...
AbstractIn this paper, we deal with the conditions that ensure the existence of positive solutions f...
AbstractThis paper is concerned with the existence of positive solutions of the singular nonlinear e...
We show the existence of a nontrivial solution to the semilinear elliptic equation −u+u = b(x)|u|p−2...
In this paper, we study the existence and nonexistence of multiple positive solutions for problem ∆...
This study concerns the existence and stability properties of positive solutions to classes of bound...
AbstractWe prove existence and uniqueness of positive solutions for the boundary value problem(rN−1φ...
Abstract. We prove the existence of a positive solution to the BVP (Φ(t)u′(t)) ′ = f(t, u(t)), u′(0...
In this Note we deal with semilinear elliptic Dirichlet boundary value problems like { −∆u = λu − f(...
This paper is devoted to studying the existence of positive solutions of the problem: \begin{equatio...
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 are concerned with positive solutions of two types of nonlinear elliptic boundary value problems ...
In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity Lu(x) = f(x, ...
In this paper we consider the question of uniqueness of positive solutions for Dirichlet problems of...
We consider the elliptic problem −Δu+ u = b(x)|u|p−2u+ h(x) in Ω, u∈H10 (Ω), where 2 < p < (2N...
By using the mountain pass lemma, we study the existence of positive solutions for the equation−∆u(x...
AbstractIn this paper, we deal with the conditions that ensure the existence of positive solutions f...
AbstractThis paper is concerned with the existence of positive solutions of the singular nonlinear e...
We show the existence of a nontrivial solution to the semilinear elliptic equation −u+u = b(x)|u|p−2...
In this paper, we study the existence and nonexistence of multiple positive solutions for problem ∆...
This study concerns the existence and stability properties of positive solutions to classes of bound...
AbstractWe prove existence and uniqueness of positive solutions for the boundary value problem(rN−1φ...
Abstract. We prove the existence of a positive solution to the BVP (Φ(t)u′(t)) ′ = f(t, u(t)), u′(0...
In this Note we deal with semilinear elliptic Dirichlet boundary value problems like { −∆u = λu − f(...
This paper is devoted to studying the existence of positive solutions of the problem: \begin{equatio...
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 are concerned with positive solutions of two types of nonlinear elliptic boundary value problems ...
In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity Lu(x) = f(x, ...
In this paper we consider the question of uniqueness of positive solutions for Dirichlet problems of...
We consider the elliptic problem −Δu+ u = b(x)|u|p−2u+ h(x) in Ω, u∈H10 (Ω), where 2 < p < (2N...