| Issue |
ESAIM: COCV
Volume 7, 2002
|
|
|---|---|---|
| Page(s) | 407 - 419 | |
| DOI | https://doi.org/10.1051/cocv:2002061 | |
| Published online | 15 September 2002 | |
Sign changing solutions for elliptic equations with critical growth in cylinder type domains
1
Mathematics Department, IST,
Av. Rovisco Pais, 1049-001 Lisboa, Portugal; girao@math.ist.utl.pt.
2
CMAF and Faculty of Sciences,
Universidade de Lisboa,
Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal; mramos@lmc.fc.ul.pt.
Received:
20
December
2001
We prove the existence of positive and of nodal solutions for
-Δu = |u|p-2u + µ|u|q-2u, 
,
where µ > 0 and 2 < q < p = 2N(N - 2) , for a class of open subsets Ω of 
lying
between two infinite cylinders.
Mathematics Subject Classification: 35J20 / 35J25 / 35J65 / 35B05
Key words: Nodal solutions / cylindrical domains / semilinear elliptic equation / critical Sobolev exponent / con cen tra tion-compactness.
© EDP Sciences, SMAI, 2002
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