In this paper we study the existence, non-existence and multiplicity of non-negative solutions for a family of elliptic problems with exponential nonlienarity and sign-changing weights. The techniques used in the proofs are a combination of upper and lower solutions, the Trudinger-Moser inequality and variational methods.
On a Liouville-type equation with sign-changing weight / B. Ruf, P. Ubilla. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 139:1(2009), pp. 183-192.
On a Liouville-type equation with sign-changing weight
B. RufPrimo
;
2009
Abstract
In this paper we study the existence, non-existence and multiplicity of non-negative solutions for a family of elliptic problems with exponential nonlienarity and sign-changing weights. The techniques used in the proofs are a combination of upper and lower solutions, the Trudinger-Moser inequality and variational methods.File in questo prodotto:
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