# Sign changing solutions for elliptic equations with critical growth in cylinder type domains

ESAIM: Control, Optimisation and Calculus of Variations (2002)

- 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 (2002): 407-419. <http://eudml.org/doc/244857>.

@article{Girão2002,

abstract = {We prove the existence of positive and of nodal solutions for $-\Delta u = |u|^\{p-2\}u+\mu |u|^\{q-2\}u$, $u\in \{\rm H_0^1\}(\Omega )$, where $\mu >0$ and $2< q < p=2N(N-2)$, for a class of open subsets $\Omega $ 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; concentration-compactness},

language = {eng},

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/244857},

volume = {7},

year = {2002},

}

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

PY - 2002

PB - EDP-Sciences

VL - 7

SP - 407

EP - 419

AB - We prove the existence of positive and of nodal solutions for $-\Delta u = |u|^{p-2}u+\mu |u|^{q-2}u$, $u\in {\rm H_0^1}(\Omega )$, where $\mu >0$ and $2< q < p=2N(N-2)$, for a class of open subsets $\Omega $ of $\mathbb {R}^N$ lying between two infinite cylinders.

LA - eng

KW - nodal solutions; cylindrical domains; semilinear elliptic equation; critical Sobolev exponent; concentration-compactness

UR - http://eudml.org/doc/244857

ER -

## References

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