We consider positive solutions of the equation -Δu = 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
The equation −∆u = χ{u>0} − 1 uβ +λf(x, u) in Ω with Dirichlet boundary condition on ∂Ω has ...
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
summary:Let $p>1$, $q>p$, $\lambda >0$ and $s\in ]1,p[$. We study, for $s\rightarrow p^-$, the behav...
We consider positive solutions of the equation −∆u = λ(1 + u)p with Dirichlet boundary conditions in...
Abstract In this note we consider the problem ...
We consider the problem of finding positive solutions of the problem ∆u − λu + u⁵ = 0 in a bounded, ...
AbstractIn this paper we consider the elliptic boundary blow-up problem{Δu=(a+(x)−εa−(x))upin Ω,u=∞o...
AbstractWe study the multiplicity of nonnegative solutions to the problem,(Pλ)−Δu=λa(x)up+f(u)inΩ,u=...
AbstractWe study the behavior at infinity of solutions of equations of the form Δu=up, where p>1, in...
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stabi...
AbstractIn this paper we consider the elliptic boundary blow-up problems{Δu±g(|∇u|)=f(u)in Ω,u=∞on ∂...
In this paper we consider existence, asymptotic behavior near the boundary and uniqueness of positiv...
In this note we estimate the maximal growth rate at the boundary of viscosity solutions to −∆∞u + λ|...
We investigate the existence and the multiplicity of solutions of the problem (Formula presented.) w...
AbstractWe study the existence, nonexistence and multiplicity of positive solutions for a family of ...
The equation −∆u = χ{u>0} − 1 uβ +λf(x, u) in Ω with Dirichlet boundary condition on ∂Ω has ...
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
summary:Let $p>1$, $q>p$, $\lambda >0$ and $s\in ]1,p[$. We study, for $s\rightarrow p^-$, the behav...
We consider positive solutions of the equation −∆u = λ(1 + u)p with Dirichlet boundary conditions in...
Abstract In this note we consider the problem ...
We consider the problem of finding positive solutions of the problem ∆u − λu + u⁵ = 0 in a bounded, ...
AbstractIn this paper we consider the elliptic boundary blow-up problem{Δu=(a+(x)−εa−(x))upin Ω,u=∞o...
AbstractWe study the multiplicity of nonnegative solutions to the problem,(Pλ)−Δu=λa(x)up+f(u)inΩ,u=...
AbstractWe study the behavior at infinity of solutions of equations of the form Δu=up, where p>1, in...
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stabi...
AbstractIn this paper we consider the elliptic boundary blow-up problems{Δu±g(|∇u|)=f(u)in Ω,u=∞on ∂...
In this paper we consider existence, asymptotic behavior near the boundary and uniqueness of positiv...
In this note we estimate the maximal growth rate at the boundary of viscosity solutions to −∆∞u + λ|...
We investigate the existence and the multiplicity of solutions of the problem (Formula presented.) w...
AbstractWe study the existence, nonexistence and multiplicity of positive solutions for a family of ...
The equation −∆u = χ{u>0} − 1 uβ +λf(x, u) in Ω with Dirichlet boundary condition on ∂Ω has ...
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
summary:Let $p>1$, $q>p$, $\lambda >0$ and $s\in ]1,p[$. We study, for $s\rightarrow p^-$, the behav...
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