Contents Online
Methods and Applications of Analysis
Volume 15 (2008)
Number 1
On the Lazer-McKenna Conjecture Involving Critical and Super-critical Exponents
Pages: 97 – 120
DOI: https://dx.doi.org/10.4310/MAA.2008.v15.n1.a9
Authors
Abstract
We prove the Lazer-McKenna conjecture for an elliptic problem of Ambrosetti-Prodi type with critical and supercritical nonlinearities by constructing solutions concentrating on higher dimensional manifolds, under some partially symmetric assumption on the domain.
Keywords
Elliptic equation, multiplicity, reduction method
2010 Mathematics Subject Classification
35J65
Published 1 January 2008