Geodesic
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

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We prove the existence of positive and of nodal solutions for -Δu=|u| p-2 u+μ|u| q-2 u, u∈H 0 1 (Ω), where μ>0 and 2<q<p=2N(N-2), for a class of open subsets Ω of ℝ N lying between two infinite cylinders.

DOI : 10.1051/cocv:2002061
Classification : 35J20, 35J25, 35J65, 35B05
Keywords: nodal solutions, cylindrical domains, semilinear elliptic equation, critical Sobolev exponent, concentration-compactness 
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     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://geodesic.mathdoc.fr/articles/10.1051/cocv:2002061/}
}
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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

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