Sign changing solutions for elliptic equations with critical growth in cylinder type domains
ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002) , pp. 407-419.

We prove the existence of positive and of nodal solutions for $-\Delta u={|u|}^{p-2}u+\mu {|u|}^{q-2}u$, $u\in {\mathrm{H}}_{0}^{1}\left(\Omega \right)$, where $\mu >0$ and $2, for a class of open subsets $\Omega$ of ${ℝ}^{N}$ lying between two infinite cylinders.

DOI : https://doi.org/10.1051/cocv:2002061
Classification : 35J20,  35J25,  35J65,  35B05
Mots clés : nodal solutions, cylindrical domains, semilinear elliptic equation, critical Sobolev exponent, concentration-compactness
@article{COCV_2002__7__407_0,
author = {Gir\~ao, Pedro and Ramos, Miguel},
title = {Sign changing solutions for elliptic equations with critical growth in cylinder type domains},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {407--419},
publisher = {EDP-Sciences},
volume = {7},
year = {2002},
doi = {10.1051/cocv:2002061},
mrnumber = {1925035},
language = {en},
url = {http://www.numdam.org/item/COCV_2002__7__407_0/}
}
Girão, Pedro; Ramos, Miguel. Sign changing solutions for elliptic equations with critical growth in cylinder type domains. ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002) , pp. 407-419. doi : 10.1051/cocv:2002061. http://www.numdam.org/item/COCV_2002__7__407_0/

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