### Impacto

Díaz Díaz, Jesús Ildefonso and Padial Molina, Juan Francisco and Rakotoson, Jean Michel Theresien
(2007)
*On some Bernoulli free boundary type problems for general elliptic operators.*
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 137
(5).
pp. 895-911.
ISSN 0308-2105

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Official URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1199064

## Abstract

We consider some Bernoulli free boundary type problems for a general class of quasilinear elliptic (pseudomonotone) operators involving measures depending on unknown solutions. We treat those problems by applying the Ambrosetti-Rabinowitz minimax theorem to a sequence of approximate nonsingular problems and passing to the limit by some a priori estimates. We show, by means of some capacity results, that sometimes the measures are regular. Finally, we give some qualitative properties of the solutions and, for a special case, we construct a continuum of solutions.

Item Type: | Article |
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Uncontrolled Keywords: | t-set; equations; existence; confinement; stellarator; regularity; datum. |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 15288 |

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Deposited On: | 21 May 2012 10:00 |

Last Modified: | 06 Feb 2014 10:20 |

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