Add to ORKGIn this article, we consider the singular elliptic boundary-value problem $$ -\Delta u+f(u)-u^{-\gamma} =\lambda u \text{ in } \Omega,\quad u>0\text{ in } \Omega,\quad u=0 \text{ on } \partial\Omega. $$ Using the upper-lower solution method, we show the existence and uniqueness of the solution. Also we study the boundary behavior and asymptotic behavior of the positive solutions
AbstractIn this paper we analyze the second expansion of the unique solution near the boundary to th...
We prove existence of solutions for a class of singular elliptic problems with a general measure as ...
We study the asymptotic behavior, as γ tends to infinity, of solutions for the homogeneous Dirichlet...
In this paper we obtain existence results for the positive solution of a singular elliptic boundary...
We prove the existence of positive solutions for the singular boundary value problems $$ \cases \dis...
In this article we study the semilinear singular elliptic problem $$\displaylines{ -\Delta u = \f...
We deal with the Dirichlet problem \Delta u+u^{-\gamma} +g(u) = 0 in a bounded smooth domain \Omega ...
We prove the existence of a large positive solution for the boundary value problems $$ \alignat 2 -\...
We study a class of Dirichlet boundary value problems whose prototype is -Delta u =|u|^{p-2}u+f(x)...
We study the existence and nonexistence of positive solution to the problem $$\displaylines{ \Delt...
Consider the problem $$ -Delta_{p}u=g(u) +lambda h(u)quadhbox{in }Omega $$ with $u=0$ on the bound...
In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity Lu(x) = f(x, ...
AbstractThe following singular elliptic boundary value problem is studied:Δu+λu−γ+up=0inΩ,u>0inΩ,u=0...
In this work, we study the existence of positive solutions to the singular system $$ \left\{\begin{a...
The equation -Deltau = chi({u>0}) (-1/ubeta + lambdaf (x,u)) in Omega with Dirichlet boundary condit...
AbstractIn this paper we analyze the second expansion of the unique solution near the boundary to th...
We prove existence of solutions for a class of singular elliptic problems with a general measure as ...
We study the asymptotic behavior, as γ tends to infinity, of solutions for the homogeneous Dirichlet...
In this paper we obtain existence results for the positive solution of a singular elliptic boundary...
We prove the existence of positive solutions for the singular boundary value problems $$ \cases \dis...
In this article we study the semilinear singular elliptic problem $$\displaylines{ -\Delta u = \f...
We deal with the Dirichlet problem \Delta u+u^{-\gamma} +g(u) = 0 in a bounded smooth domain \Omega ...
We prove the existence of a large positive solution for the boundary value problems $$ \alignat 2 -\...
We study a class of Dirichlet boundary value problems whose prototype is -Delta u =|u|^{p-2}u+f(x)...
We study the existence and nonexistence of positive solution to the problem $$\displaylines{ \Delt...
Consider the problem $$ -Delta_{p}u=g(u) +lambda h(u)quadhbox{in }Omega $$ with $u=0$ on the bound...
In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity Lu(x) = f(x, ...
AbstractThe following singular elliptic boundary value problem is studied:Δu+λu−γ+up=0inΩ,u>0inΩ,u=0...
In this work, we study the existence of positive solutions to the singular system $$ \left\{\begin{a...
The equation -Deltau = chi({u>0}) (-1/ubeta + lambdaf (x,u)) in Omega with Dirichlet boundary condit...
AbstractIn this paper we analyze the second expansion of the unique solution near the boundary to th...
We prove existence of solutions for a class of singular elliptic problems with a general measure as ...
We study the asymptotic behavior, as γ tends to infinity, of solutions for the homogeneous Dirichlet...