On elliptic systems pertaining to the Schrödinger equation

J. Chabrowski; E. Tonkes

Annales Polonici Mathematici (2003)

  • Volume: 81, Issue: 3, page 273-294
  • ISSN: 0066-2216

Abstract

top
We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.

How to cite

top

J. Chabrowski, and E. Tonkes. "On elliptic systems pertaining to the Schrödinger equation." Annales Polonici Mathematici 81.3 (2003): 273-294. <http://eudml.org/doc/280511>.

@article{J2003,
abstract = {We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.},
author = {J. Chabrowski, E. Tonkes},
journal = {Annales Polonici Mathematici},
keywords = {elliptic systems; least energy solutions; subcritical and critical Sobolev exponents},
language = {eng},
number = {3},
pages = {273-294},
title = {On elliptic systems pertaining to the Schrödinger equation},
url = {http://eudml.org/doc/280511},
volume = {81},
year = {2003},
}

TY - JOUR
AU - J. Chabrowski
AU - E. Tonkes
TI - On elliptic systems pertaining to the Schrödinger equation
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 3
SP - 273
EP - 294
AB - We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.
LA - eng
KW - elliptic systems; least energy solutions; subcritical and critical Sobolev exponents
UR - http://eudml.org/doc/280511
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.