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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 19
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 1, February 2012
  4. Bound states to critical quasilinear Schrödinger equations
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 6, December 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 5, October 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 4, August 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 3, June 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 2, April 2012
Nonlinear Differential Equations and Applications NoDEA : Volume 19, Issue 1, February 2012
Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye–Hückel system
Bound states to critical quasilinear Schrödinger equations
Rotating multicomponent Bose–Einstein condensates
Local well-posedness for the space–time Monopole equation in Lorenz gauge
Spherical twists, stationary paths and harmonic maps from generalised annuli into spheres
A computer-assisted proof of the existence of traveling wave solutions to the scalar Euler equations with artificial viscosity
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Bound states to critical quasilinear Schrödinger equations

Content Provider SpringerLink
Author Wang, Youjun Zou, Wenming
Copyright Year 2011
Abstract In this paper, we consider the critical quasilinear Schrödinger equations of the form $$ -\varepsilon^2\Delta u+V(x)u-\varepsilon^2[\Delta(u^2)]u=|u|^{2(2^*)-2}u+g(u),\quad x\in \mathbb{R}^N, $$ where N ≥ 3, 2* := 2N/(N − 2) and g(u) is of subcritical growth. We prove the existence of positive bound states which concentrate around a local minimum point of V as ε → 0+.
Ending Page 47
Page Count 29
Starting Page 19
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 1
Volume Number 19
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2011-05-27
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Analysis Variational methods for second-order elliptic equations Nonlinear elliptic equations Critical exponents NLS-like equations (nonlinear Schrödinger)
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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