Abstract In this paper we consider the problem where Ω = ℝN ∖ ω̅, ω being a nonempty open bounded domain of ℝN having smooth boundary We prove that, if u0 and f are nonnegative and satisfy suitable conditions, there exist at least two positive solutions. Moreover, the existence of a solution is shown to hold even when no condition on the sign of u0 and f is assumed
We review the inde nite sublinear elliptic equation Δu =a(x)uq in a smooth bounded domain &Ome...
This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolut...
AbstractWe consider the equation Δu=p(x)f(u) where p is a nonnegative nontrivial continuous function...
We show that if a(x) and f(x) satisfy some suitable conditions, then the Dirichlet problem −&...
In this paper we consider the problem \[\left\{\begin{array}{ll} - \Delta u + u\ =\ |u|^{p-2}u + f...
Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function...
Abstract This paper is concerned with the problem (*) { − Δ u + a ( x ) u = u n + 2 n − 2 in Ω u > 0...
The paper concerns with positive solutions of problems of the type -Δu+a(x)u=up-1+εu2∗-1 in Ω ⊆ RN, ...
We study the existence and nonexistence of strictly positive solutions for the elliptic problems -- ...
AbstractIn this paper we consider the elliptic boundary blow-up problems{Δu±g(|∇u|)=f(u)in Ω,u=∞on ∂...
AbstractWe prove the existence of two unbounded sequences of strictly positive solutions, obtained r...
AbstractIn this paper, by using the fixed point theory, under quite general conditions on the nonlin...
AbstractThis paper studies the existence of positive solutions for a class of boundary value problem...
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 problem{Δu=(a+(x)−εa−(x))upin Ω,u=∞o...
We review the inde nite sublinear elliptic equation Δu =a(x)uq in a smooth bounded domain &Ome...
This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolut...
AbstractWe consider the equation Δu=p(x)f(u) where p is a nonnegative nontrivial continuous function...
We show that if a(x) and f(x) satisfy some suitable conditions, then the Dirichlet problem −&...
In this paper we consider the problem \[\left\{\begin{array}{ll} - \Delta u + u\ =\ |u|^{p-2}u + f...
Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function...
Abstract This paper is concerned with the problem (*) { − Δ u + a ( x ) u = u n + 2 n − 2 in Ω u > 0...
The paper concerns with positive solutions of problems of the type -Δu+a(x)u=up-1+εu2∗-1 in Ω ⊆ RN, ...
We study the existence and nonexistence of strictly positive solutions for the elliptic problems -- ...
AbstractIn this paper we consider the elliptic boundary blow-up problems{Δu±g(|∇u|)=f(u)in Ω,u=∞on ∂...
AbstractWe prove the existence of two unbounded sequences of strictly positive solutions, obtained r...
AbstractIn this paper, by using the fixed point theory, under quite general conditions on the nonlin...
AbstractThis paper studies the existence of positive solutions for a class of boundary value problem...
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 problem{Δu=(a+(x)−εa−(x))upin Ω,u=∞o...
We review the inde nite sublinear elliptic equation Δu =a(x)uq in a smooth bounded domain &Ome...
This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolut...
AbstractWe consider the equation Δu=p(x)f(u) where p is a nonnegative nontrivial continuous function...