Advances in Differential Equations

Existence theorems for elliptic equations involving supercritical Sobolev exponent

J. Chabrowski and Jianfu Yang

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We prove the existence of a bounded positive solution of a semilinear elliptic equation involving a supercritical exponent. Using the Lusternik-Schnirelman theory of critical points we also obtain the existence of multiple solutions.

Article information

Adv. Differential Equations, Volume 2, Number 2 (1997), 231-256.

First available in Project Euclid: 24 April 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J60: Nonlinear elliptic equations
Secondary: 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)


Chabrowski, J.; Yang, Jianfu. Existence theorems for elliptic equations involving supercritical Sobolev exponent. Adv. Differential Equations 2 (1997), no. 2, 231--256.

Export citation