Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

The paper deals with the existence of normalized solutions to the system {− Δ u− λ 1 u= μ 1 u
3+ β uv 2 in R 3− Δ v− λ 2 v= μ 2 v 3+ β u 2 v in R 3∫ R 3 u 2= a 1 2 and∫ R 3 v 2= a 2 2 for …

We look for solutions to the Schrödinger-Poisson-Slater equation (0.1)− Δ u+ λ u− γ (| x|− 1⁎|
u| 2) u− a| u| p− 2 u= 0 in R 3, which satisfy‖ u‖ L 2 (R 3) 2= c for some prescribed c> 0 …

Semilinear elliptic equations for the fractional Laplacian with Hardy potential - ScienceDirect
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We study the existence, non-existence and multiplicity of prescribed mass positive solutions
to a Schrödinger equation of the form− Δ u+ λ u= g (u), u∈ H 1 (RN), N≥ 1. Our approach …

We consider Liouville-type theorems for the following H\'{e} non-Lane-Emden system\hfill-
\Delta u&= &| x|^{a} v^ p\text {in}\mathbb {R}^ N,\hfill-\Delta v&= &| x|^{b} u^ q\text {in}\mathbb …

In this paper, we focus on the solutions to the energy critical Hartree equations-Δ u= λ u+ μ (|
x|-α∗| u| 2) u+(| x|-4∗| u| 2) u, x∈ RN under the normalized constraint∫ RN u 2= c> 0 …

In this paper, we give sufficient conditions ensuring that any positive classical solution (u,v)
of an elliptic system in the whole space R^n has the symmetry property u=v. As an …

Boundary Harnack Estimates and Quantitative Strong Maximum Principles for Uniformly Elliptic
PDE | International Mathematics Research Notices | Oxford Academic Skip to Main Content …

We consider the Hardy-Hénon system -Δu=|x|^av^p, -Δv=|x|^bu^q with p,q>0 and
a,b∈\mathbbR and we are concerned in particular with the Liouville property, ie, the …