Stability for semilinear parabolic equations with decaying potentials in \(\mathbb{R}^n\) and dynamical approach to the existence of ground states

DOI10.1016/S0294-1449(02)00098-7zbMath1017.35033MaRDI QIDQ697667

Philippe Souplet, Qi S. Zhang

Publication date: 17 September 2002

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2002__19_5_683_0

zbMATH Keywords

elliptic equationsdecaying potentialsequilibria for parabolic equations

Mathematics Subject Classification ID

Related Items (11)

Weighted Sobolev embedding with unbounded and decaying radial potentials ⋮ Instability of steady states for nonlinear wave and heat equations ⋮ Standing waves for supercritical nonlinear Schrödinger equations ⋮ Sobolev type embedding and quasilinear elliptic equations with radial potentials ⋮ NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS ⋮ Quasilinear scalar field equations with competing potentials ⋮ Bound state solutions for a class of nonlinear Schrödinger equations ⋮ Existence and multiple solutions for a critical quasilinear equation with singular potentials ⋮ Ground states of a nonlinear drifting Schrödinger equation ⋮ Large time behavior of reaction-diffusion equations with Bessel generators ⋮ Global existence and non-existence analyses for a semilinear edge degenerate parabolic equation with singular potential term

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