Sign changing solutions for elliptic equations with critical growth in cylinder type domains
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 7, page 407-419
- ISSN: 1292-8119
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topGirão, Pedro, and Ramos, Miguel. "Sign changing solutions for elliptic equations with critical growth in cylinder type domains." ESAIM: Control, Optimisation and Calculus of Variations 7 (2010): 407-419. <http://eudml.org/doc/90628>.
@article{Girão2010,
abstract = {
We prove the existence of positive and of nodal solutions for
-Δu = |u|p-2u + µ|u|q-2u, $u\in \{\rm H_0^1\}(\Omega)$,
where µ > 0 and 2 < q < p = 2N(N - 2) , for a class of open subsets Ω of $\mathbb\{R\}^N$ lying
between two infinite cylinders.
},
author = {Girão, Pedro, Ramos, Miguel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Nodal solutions; cylindrical domains; semilinear elliptic equation;
critical Sobolev exponent; con cen tra tion-compactness.; nodal solutions; critical Sobolev exponent; concentration-compactness},
language = {eng},
month = {3},
pages = {407-419},
publisher = {EDP Sciences},
title = {Sign changing solutions for elliptic equations with critical growth in cylinder type domains},
url = {http://eudml.org/doc/90628},
volume = {7},
year = {2010},
}
TY - JOUR
AU - Girão, Pedro
AU - Ramos, Miguel
TI - Sign changing solutions for elliptic equations with critical growth in cylinder type domains
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 7
SP - 407
EP - 419
AB -
We prove the existence of positive and of nodal solutions for
-Δu = |u|p-2u + µ|u|q-2u, $u\in {\rm H_0^1}(\Omega)$,
where µ > 0 and 2 < q < p = 2N(N - 2) , for a class of open subsets Ω of $\mathbb{R}^N$ lying
between two infinite cylinders.
LA - eng
KW - Nodal solutions; cylindrical domains; semilinear elliptic equation;
critical Sobolev exponent; con cen tra tion-compactness.; nodal solutions; critical Sobolev exponent; concentration-compactness
UR - http://eudml.org/doc/90628
ER -
References
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