AbstractLet n∈N with n⩾2, a∈(−1,0)∪(0,1] and f:(0,1)×(0,∞)→R such that for each u∈(0,∞), r↦(1+ar2)(n+2)/2f(r,(1+ar2)−(n−2)/2u):(0,1)→R is nonincreasing. We show that each positive solution ofΔu+f(|x|,u)=0in B,u=0on ∂B is radially symmetric, where B is the open unit ball in RN
AbstractTaking advantage of the “invariance” under conformal transformations of certain elliptic ope...
AbstractWe establish a new Pohozaev-type identity and use it to prove a theorem on the uniqueness of...
Nonexistence and radial symmetry of positive solutions for a class of semilinear elliptic systems ar...
Let $f \in C((0,1)\times (0,\infty),\mathbb{R})$ and $n \in \mathbb{N}$ with $n \geq 2$ such that f...
The main purpose of this paper is to prove Theorems 1 and 2 of the preceding paper, Part I, together...
We prove that nonnegative solutions to a semilinear Dirichlet problem in a ball are positive, and he...
We prove that nonnegative solutions to a semilinear Dirichlet problem in a ball are positive, and he...
AbstractThe symmetry properties of positive solutions of the equationΔu+12x·∇u+1p−1u+up=0inRn,where ...
AbstractLet n∈N with n⩾2, a∈(−1,0)∪(0,1] and f:(0,1)×(0,∞)→R such that for each u∈(0,∞), r↦(1+ar2)(n...
In this paper we fully describe the set of the positive and nodal (regular and singular) radial solu...
AbstractWe study the radial symmetry and asymptotic behavior at x=∞ of positive solutions ofΔu=ϕ(|x|...
AbstractWe prove uniqueness of positive radial solutions to the semilinear elliptic equation Δu−u+up...
AbstractIn this paper we fully describe the set of the positive and nodal (regular and singular) rad...
AbstractIn this paper we study symmetry properties for positive solutions of semilinear elliptic equ...
AbstractThis paper is concerned with the structure of the set of radially symmetric solutions for th...
AbstractTaking advantage of the “invariance” under conformal transformations of certain elliptic ope...
AbstractWe establish a new Pohozaev-type identity and use it to prove a theorem on the uniqueness of...
Nonexistence and radial symmetry of positive solutions for a class of semilinear elliptic systems ar...
Let $f \in C((0,1)\times (0,\infty),\mathbb{R})$ and $n \in \mathbb{N}$ with $n \geq 2$ such that f...
The main purpose of this paper is to prove Theorems 1 and 2 of the preceding paper, Part I, together...
We prove that nonnegative solutions to a semilinear Dirichlet problem in a ball are positive, and he...
We prove that nonnegative solutions to a semilinear Dirichlet problem in a ball are positive, and he...
AbstractThe symmetry properties of positive solutions of the equationΔu+12x·∇u+1p−1u+up=0inRn,where ...
AbstractLet n∈N with n⩾2, a∈(−1,0)∪(0,1] and f:(0,1)×(0,∞)→R such that for each u∈(0,∞), r↦(1+ar2)(n...
In this paper we fully describe the set of the positive and nodal (regular and singular) radial solu...
AbstractWe study the radial symmetry and asymptotic behavior at x=∞ of positive solutions ofΔu=ϕ(|x|...
AbstractWe prove uniqueness of positive radial solutions to the semilinear elliptic equation Δu−u+up...
AbstractIn this paper we fully describe the set of the positive and nodal (regular and singular) rad...
AbstractIn this paper we study symmetry properties for positive solutions of semilinear elliptic equ...
AbstractThis paper is concerned with the structure of the set of radially symmetric solutions for th...
AbstractTaking advantage of the “invariance” under conformal transformations of certain elliptic ope...
AbstractWe establish a new Pohozaev-type identity and use it to prove a theorem on the uniqueness of...
Nonexistence and radial symmetry of positive solutions for a class of semilinear elliptic systems ar...
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