Uniqueness of solutions of some elliptic equations without condition at infinity
[Unicité de la solution de certaines équations elliptiques sans conditions à l'infini]
Comptes Rendus. Mathématique, Tome 335 (2002) no. 9, pp. 739-744.

On montre l'existence et l'unicité de la solution de l'équation :

-u+u+u|u'| 2 =f dans R,f0,
sans conditions à l'infini sur f. Le résultat admet des généralisations à d'autres equations avec termes d'absorption du même type et au cas radial dans R N .

We prove existence and uniqueness of solutions of the equation:

-u+u+u|u'| 2 =f in R,f0,
without any condition at infinity on f. The result is generalized to other absorbing equations of the same type and to the radial case in R N .

Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02555-4
Porretta, Alessio 1

1 Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Roma, Italy
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Porretta, Alessio. Uniqueness of solutions of some elliptic equations without condition at infinity. Comptes Rendus. Mathématique, Tome 335 (2002) no. 9, pp. 739-744. doi : 10.1016/S1631-073X(02)02555-4. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02555-4/

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[4] A. Porretta, Local estimates and large solutions for some elliptic equations with absorption, in preparation

[5] A. Porretta, Some uniqueness results for elliptic equations without condition at infinity, Comm. Contemp. Math., to appear

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