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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 15
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 3, October 2008
  4. Radial solutions with a vortex to an asymptotically linear elliptic equation
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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 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 15, Issue 4-5, December 2008
Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 6, December 2008
Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 3, October 2008
Modified low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system
On some nonlinear elliptic problems for p–Laplacian in $$\mathbb {R}^N$$
Multiple positive solutions for a quasilinear system of Schrödinger equations
An oscillatory bifurcation from infinity, and from zero
The large-time behavior of solutions of the Cauchy-Dirichlet problem for Hamilton-Jacobi equations
Touchdown and related problems in electrostatic MEMS device equation
Radial solutions with a vortex to an asymptotically linear elliptic equation
Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 1-2, April 2008
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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Radial solutions with a vortex to an asymptotically linear elliptic equation

Content Provider SpringerLink
Author Watanabe, Tatsuya
Copyright Year 2008
Abstract In this paper, we study a two-dimensional nonlinear elliptic equation: $$ -\Delta v(x) + V (x)v(x) = f(v(x)), x \in {\mathbb{R}}^{2} $$ where V (x) is radial, V (x) behaves like $$O \left( \frac{1}{|x|}^2 \right)$$ near zero and the nonlinearity f is asymptotically linear at infinity. We show the existence of a nontrivial radial solution of (1.1) via the variational approach.
Ending Page 412
Page Count 26
Starting Page 387
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 3
Volume Number 15
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2008-10-03
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword vortex variational method Analysis Variational methods for second-order elliptic equations asymptotically linear nonlinearity NLS-like equations (nonlinear Schrödinger)
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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