AbstractConsider the problem{−Δu+f(|x|λ)uλ2=|u|4N−2uinB1,u=0on∂B1, where B1 denotes the open unit ball in RN, N⩾3 and λ>0. Under some general assumptions on f, we prove the existence or the non-existence of radial solutions. We consider also the case when λ is determined
In this paper, we build infinitely many non-radial sign-changing solutions to the critical problem (...
AbstractWe prove the nonlinear Schrödinger equation has a local solution for any energy – subcritica...
We study radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems in...
Consider the problem {-Delta u + f(|x|/lambda)u/lambda(2) = |u|(4/N-2)u in B-1, u = 0 on partial der...
We give a method for obtaining radially symmetric solutions for the critical exponent problem{ −∆u+ ...
Consider the following Problem -Δu=un+2/n-2-λu in B(1) u> 0, u is radial ∂ u/&#...
AbstractLet B be the unit ball in RN, N⩾5 and n be the exterior unit normal vector on the boundary. ...
In this paper we show that, for each λ\u3e0, the set of radially symmetric solutions to the boundary...
In this paper we answer, for N = 3,4, the question raised in [1] on the number of radially symmetric...
In this paper we establish existence of radial and nonradial solutions to the system \begin{eq...
We consider the fully nonlinear problem -F(x,D^2u)=|u|^{p-1}u in Ω u=0 on \partial Ω where F is u...
In this paper we consider the critical elliptic equation −Δu+λa(x)u=u(N+2)/(N−2), x∈RN,u>0, ∫RN|∇u|...
Abstract. We prove existence of a positive solution to problem −∆u = |u|2∗−2 u, u ∈ D1,20 (Ω), where...
Abstract: We consider the positive radial symmetric solutions to the nonlinear problem div jrujp2ru ...
For 1 < p < ∞, we consider the following problem −Δpu = f(u), u > 0 in Ω, ∂νu = 0 on ∂Ω, ...
In this paper, we build infinitely many non-radial sign-changing solutions to the critical problem (...
AbstractWe prove the nonlinear Schrödinger equation has a local solution for any energy – subcritica...
We study radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems in...
Consider the problem {-Delta u + f(|x|/lambda)u/lambda(2) = |u|(4/N-2)u in B-1, u = 0 on partial der...
We give a method for obtaining radially symmetric solutions for the critical exponent problem{ −∆u+ ...
Consider the following Problem -Δu=un+2/n-2-λu in B(1) u> 0, u is radial ∂ u/&#...
AbstractLet B be the unit ball in RN, N⩾5 and n be the exterior unit normal vector on the boundary. ...
In this paper we show that, for each λ\u3e0, the set of radially symmetric solutions to the boundary...
In this paper we answer, for N = 3,4, the question raised in [1] on the number of radially symmetric...
In this paper we establish existence of radial and nonradial solutions to the system \begin{eq...
We consider the fully nonlinear problem -F(x,D^2u)=|u|^{p-1}u in Ω u=0 on \partial Ω where F is u...
In this paper we consider the critical elliptic equation −Δu+λa(x)u=u(N+2)/(N−2), x∈RN,u>0, ∫RN|∇u|...
Abstract. We prove existence of a positive solution to problem −∆u = |u|2∗−2 u, u ∈ D1,20 (Ω), where...
Abstract: We consider the positive radial symmetric solutions to the nonlinear problem div jrujp2ru ...
For 1 < p < ∞, we consider the following problem −Δpu = f(u), u > 0 in Ω, ∂νu = 0 on ∂Ω, ...
In this paper, we build infinitely many non-radial sign-changing solutions to the critical problem (...
AbstractWe prove the nonlinear Schrödinger equation has a local solution for any energy – subcritica...
We study radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems in...