On the Lazer-McKenna Conjecture Involving Critical and Super-critical Exponents
Dancer, E. N. ; Yan, Shusen
Methods Appl. Anal., Tome 15 (2008) no. 1, p. 97-120 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2008-03-15
Classification:  Elliptic equation,  multiplicity,  reduction method,  35J65 
@article{1228920875,
     author = {Dancer, E. N. and Yan, Shusen},
     title = {On the Lazer-McKenna Conjecture Involving Critical and Super-critical Exponents},
     journal = {Methods Appl. Anal.},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 97-120},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1228920875}
}

Dancer, E. N.; Yan, Shusen. On the Lazer-McKenna Conjecture Involving Critical and Super-critical Exponents. Methods Appl. Anal., Tome 15 (2008) no. 1, pp.  97-120. http://gdmltest.u-ga.fr/item/1228920875/