In a series of papers the question of uniqueness of radial ground states of the equation Delta u + f(u) = 0 and of various related equations has been studied. It is remarkable that throughout this work (except in very special circumstances) nowhere is a spatially dependent term taken into consideration. Here we shall make a first attempt to study the uniqueness of ground states for such spatially dependent equations and to establish qualitative properties of solutions for this purpose
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground stat...
We study an elliptic system of the form Lu = ⌊v⌋p&1 v and Lv = ⌊u⌋ q&1 u in Ω with homogeneous Diric...
none2noWe study the structure of the family of radially symmetric ground states and singular groun...
Dedidated to Roberto Conti on the occasion of his 80th birthday Abstract. In a series of papers the ...
We prove the uniqueness of radial positive solutions to a class of quasi-linear elliptic problems co...
By the Mountain Pass Theorem and the constrained minimization method existence of positive or compac...
(Communicated by Eiji Yanagida) Abstract. Using the definition of solution and the qualitative prope...
In a recent paper, Erbe and Tang provide a striking new identity applying to radial solutions of the...
none1noWe consider radial solution $u(|x|)$, $x in RR^n$, of a $p$-Laplace equation with non-linea...
For the problem (here ) with constants , and , uniqueness of radial solution (calledground state s...
We study radial solutions of semilinear Laplace equations. We try to understand all solutions of th...
We study an elliptic system of the form Lu = vertical bar v vertical bar(p-1) v and Lv = vertical ba...
none1noWe consider the following equation $$Delta_p u( extbf{x})+ f(u,| extbf{x}|)=0,$$ where $ e...
AbstractFor the problem (here u=u(x)) Δu−up+αuq+βur=0,x∈Rn,lim|x|→∞u(x)=0, with constants 1≤p<q<r<n+...
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground stat...
We study an elliptic system of the form Lu = ⌊v⌋p&1 v and Lv = ⌊u⌋ q&1 u in Ω with homogeneous Diric...
none2noWe study the structure of the family of radially symmetric ground states and singular groun...
Dedidated to Roberto Conti on the occasion of his 80th birthday Abstract. In a series of papers the ...
We prove the uniqueness of radial positive solutions to a class of quasi-linear elliptic problems co...
By the Mountain Pass Theorem and the constrained minimization method existence of positive or compac...
(Communicated by Eiji Yanagida) Abstract. Using the definition of solution and the qualitative prope...
In a recent paper, Erbe and Tang provide a striking new identity applying to radial solutions of the...
none1noWe consider radial solution $u(|x|)$, $x in RR^n$, of a $p$-Laplace equation with non-linea...
For the problem (here ) with constants , and , uniqueness of radial solution (calledground state s...
We study radial solutions of semilinear Laplace equations. We try to understand all solutions of th...
We study an elliptic system of the form Lu = vertical bar v vertical bar(p-1) v and Lv = vertical ba...
none1noWe consider the following equation $$Delta_p u( extbf{x})+ f(u,| extbf{x}|)=0,$$ where $ e...
AbstractFor the problem (here u=u(x)) Δu−up+αuq+βur=0,x∈Rn,lim|x|→∞u(x)=0, with constants 1≤p<q<r<n+...
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground stat...
We study an elliptic system of the form Lu = ⌊v⌋p&1 v and Lv = ⌊u⌋ q&1 u in Ω with homogeneous Diric...
none2noWe study the structure of the family of radially symmetric ground states and singular groun...