On two problems studied by A. Ambrosetti

David Arcoya; José Carmona

Journal of the European Mathematical Society (2006)

  • Volume: 008, Issue: 2, page 181-188
  • ISSN: 1435-9855

Abstract

top
We study the Ambrosetti–Prodi and Ambrosetti–Rabinowitz problems.We prove for the first one the existence of a continuum of solutions with shape of a reflected C ( -shape). Next, we show that there is a relationship between these two problems.

How to cite

top

Arcoya, David, and Carmona, José. "On two problems studied by A. Ambrosetti." Journal of the European Mathematical Society 008.2 (2006): 181-188. <http://eudml.org/doc/277587>.

@article{Arcoya2006,
abstract = {We study the Ambrosetti–Prodi and Ambrosetti–Rabinowitz problems.We prove for the first one the existence of a continuum of solutions with shape of a reflected $C$ ($\supset $-shape). Next, we show that there is a relationship between these two problems.},
author = {Arcoya, David, Carmona, José},
journal = {Journal of the European Mathematical Society},
keywords = {Ambrosetti-Prodi problem; topological degree; a priori bound; Ambrosetti-Rabinowitz problem},
language = {eng},
number = {2},
pages = {181-188},
publisher = {European Mathematical Society Publishing House},
title = {On two problems studied by A. Ambrosetti},
url = {http://eudml.org/doc/277587},
volume = {008},
year = {2006},
}

TY - JOUR
AU - Arcoya, David
AU - Carmona, José
TI - On two problems studied by A. Ambrosetti
JO - Journal of the European Mathematical Society
PY - 2006
PB - European Mathematical Society Publishing House
VL - 008
IS - 2
SP - 181
EP - 188
AB - We study the Ambrosetti–Prodi and Ambrosetti–Rabinowitz problems.We prove for the first one the existence of a continuum of solutions with shape of a reflected $C$ ($\supset $-shape). Next, we show that there is a relationship between these two problems.
LA - eng
KW - Ambrosetti-Prodi problem; topological degree; a priori bound; Ambrosetti-Rabinowitz problem
UR - http://eudml.org/doc/277587
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.