In this paper, we consider the henon problem in the unit ball of R^N, N≥3, with Dirchlet boundery conditions. We prove the existence of (at least) one branch of non-radial solutions that bifurcate from the radial ones and that this branch is unbounded.
Bifurcation and symmetry breaking for the Henon equation / Amadori, A. L.; Gladiali, Francesca Maria. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 19:7/8(2014), pp. 755-782.
Bifurcation and symmetry breaking for the Henon equation
GLADIALI, Francesca Maria
2014-01-01
Abstract
In this paper, we consider the henon problem in the unit ball of R^N, N≥3, with Dirchlet boundery conditions. We prove the existence of (at least) one branch of non-radial solutions that bifurcate from the radial ones and that this branch is unbounded.File in questo prodotto:
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