# 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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