AbstractFor a given bounded domain Ω in Rn with C1,ϖ boundary for some 0<ϖ<1, and a possibly singular nonlinearity f on Ω×(0,∞), we give sufficient conditions on f so that the p-Laplace equation −Δpu=f(x,u) admits a solution u∈W01,p(Ω). On the basis of a comparison principle we will give a sufficient condition under which such a problem admits a unique solution
AbstractWe prove the existence and nonexistence of positive solutions for the boundary value problem...
AbstractIn the paper, we deal with positive solutions of the following nonlinear three-point singula...
Abstract. Consider the problem −∆pu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0,∞),...
AbstractFor a given bounded domain Ω in Rn with C1,ϖ boundary for some 0<ϖ<1, and a possibly singula...
Abstract. In this paper, we study a class of boundary value prob-lem involving the p-Laplacian oprat...
AbstractThis paper investigates the following p(x)-Laplacian equations {−Δp(x)u≔−div(|∇u|p(x)−2∇u)=λ...
This paper investigates the p(x)-Laplacian equations with singular nonlinearities−Δp(x)u = λ/uγ(x) i...
In this paper, the authors study the existence and non-existence of positive solutions for singular ...
We prove the existence of positive solutions for the p-Laplacian problem [formula] where [formula] c...
AbstractWe consider the following boundary value problemΔu=λ[u−p−u−q]in Ω,u=κ∈(0,∞)on ∂Ω, where p>q>...
This paper investigates the p(x)-Laplacian equations with singular nonlinearities −Δp(x)u=Î...
Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study th...
AbstractWe study the existence, nonexistence and multiplicity of positive solutions for a family of ...
AbstractIn this paper, general existence theorems are presented for the singular equation-(ϕp(y′))′=...
In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity Lu(x) = f(x, ...
AbstractWe prove the existence and nonexistence of positive solutions for the boundary value problem...
AbstractIn the paper, we deal with positive solutions of the following nonlinear three-point singula...
Abstract. Consider the problem −∆pu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0,∞),...
AbstractFor a given bounded domain Ω in Rn with C1,ϖ boundary for some 0<ϖ<1, and a possibly singula...
Abstract. In this paper, we study a class of boundary value prob-lem involving the p-Laplacian oprat...
AbstractThis paper investigates the following p(x)-Laplacian equations {−Δp(x)u≔−div(|∇u|p(x)−2∇u)=λ...
This paper investigates the p(x)-Laplacian equations with singular nonlinearities−Δp(x)u = λ/uγ(x) i...
In this paper, the authors study the existence and non-existence of positive solutions for singular ...
We prove the existence of positive solutions for the p-Laplacian problem [formula] where [formula] c...
AbstractWe consider the following boundary value problemΔu=λ[u−p−u−q]in Ω,u=κ∈(0,∞)on ∂Ω, where p>q>...
This paper investigates the p(x)-Laplacian equations with singular nonlinearities −Δp(x)u=Î...
Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study th...
AbstractWe study the existence, nonexistence and multiplicity of positive solutions for a family of ...
AbstractIn this paper, general existence theorems are presented for the singular equation-(ϕp(y′))′=...
In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity Lu(x) = f(x, ...
AbstractWe prove the existence and nonexistence of positive solutions for the boundary value problem...
AbstractIn the paper, we deal with positive solutions of the following nonlinear three-point singula...
Abstract. Consider the problem −∆pu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0,∞),...