Abstract
We consider an elliptic problem of Ambrosetti-Prodi type involving critical Sobolev exponent on a bounded smooth domain. We show that if the domain has some symmetry, the problem has infinitely many (distinct) solutions whose energy approach to infinity even for a fixed parameter, thereby obtaining a stronger result than the Lazer-McKenna conjecture.
| Original language | English |
|---|---|
| Pages (from-to) | 423-457 |
| Journal | Scuola Normale Superiore di Pisa. Annali. Classe di Scienze |
| Volume | IX [9] |
| Issue number | 2 |
| Publication status | Published - 2010 |
Keywords
- Partial Differential Equations
Fingerprint
Dive into the research topics of 'On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver