[BUCH][B] Superlinear parabolic problems

P Quittner, P Souplet - 2019 - Springer
Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

Uniqueness of ground states for quasilinear elliptic equations

J Serrin, M Tang - Indiana University Mathematics Journal, 2000 - JSTOR
Uniqueness of Ground States for Quasilinear Elliptic Equations Page 1 Uniqueness of Ground
States for Quasilinear Elliptic Equations James Serrin ef Moxun Tang ABSTRACT. We give a …

Efficient numerical solution of the density profile equation in hydrodynamics

G Kitzhofer, O Koch, P Lima, E Weinmüller - Journal of Scientific …, 2007 - Springer
We discuss the numerical treatment of a nonlinear second order boundary value problem in
ordinary differential equations posed on an unbounded domain which represents the …

Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation

WC Troy - Archive for Rational Mechanics and Analysis, 2016 - Springer
We prove the uniqueness of positive ground state solutions of the problem d^ 2 u dr^ 2+ n-1
r du dr+ u\ln (| u|)= 0 d 2 udr 2+ n-1 rdudr+ u ln (| u|)= 0, u (r)> 0~ ∀ r ≥ 0 u (r)> 0∀ r≥ 0 …

[PDF][PDF] Existence, non-existence and regularity of radial ground states for -laplacian equations with singular weights

P Pucci, R Servadei - Annales de l'IHP Analyse non linéaire, 2008 - numdam.org
Abstract By the Mountain Pass Theorem and the constrained minimization method existence
of positive or compactly supported radial ground states for quasilinear singular elliptic …

Non‐uniqueness of positive ground states of non‐linear Schrödinger equations

J Dávila, M Del Pino, I Guerra - Proceedings of the London …, 2013 - Wiley Online Library
Existence of a positive, decaying radial solution to the problem Δ u− u+ up+ λ uq= 0 in RN,
when λ> 0 and 1< q< p<(N+ 2)/(N− 2) has been known for a long time. For λ= 0, it is well …

Qualitative properties of ground states for singular elliptic equations with weights

P Pucci, M García-Huidobro, R Manásevich… - Annali di Matematica …, 2006 - Springer
In a series of papers the question of uniqueness of radial ground states of the equation Δ u+
f (u)= 0 and of various related equations has been studied. It is remarkable that throughout …

[HTML][HTML] Analytical–numerical investigation of bubble-type solutions of nonlinear singular problems

PM Lima, NB Konyukhova, AI Sukov… - Journal of Computational …, 2006 - Elsevier
In this work we are concerned about a singular boundary value problem for a second-order
nonlinear ordinary differential equation, arising in hydrodynamics and nonlinear field theory …

Weakly coupled nonlinear Schrödinger systems: the saturation effect

L de Almeida Maia, E Montefusco, B Pellacci - Calculus of Variations and …, 2013 - Springer
We study the existence of solutions for a class of saturable weakly coupled Schrödinger
systems. In most of the cases we show that least energy solutions have necessarily one …

On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets

JI Díaz, J Hernández, YS Ilyasov - Advances in Nonlinear Analysis, 2019 - degruyter.com
We prove the exact multiplicity of flat and compact support stable solutions of an
autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the …